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width:350px;" summary="Infobox Kennzahl"> <tbody><tr> <th colspan="2" style="background:#ABCDEF; color:#202122;">Physikalische <a href="/wiki/Kennzahl" title="Kennzahl">Kennzahl</a> </th></tr> <tr> <td>Name</td> <td>Mach-Zahl </td></tr> <tr> <td><a href="/wiki/Formelzeichen" title="Formelzeichen">Formelzeichen</a> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathit {Ma}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">M</mi> <mi class="MJX-tex-mathit" mathvariant="italic">a</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathit {Ma}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5606ce3876a9622cce500e07a45fbf275369608a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.074ex; width:3.347ex; height:2.176ex;" alt="{\displaystyle {\mathit {Ma}}}"></span> </td></tr> <tr> <td><a href="/wiki/Dimension_(Gr%C3%B6%C3%9Fensystem)" title="Dimension (Größensystem)">Dimension</a> </td> <td><a href="/wiki/Dimensionslose_Kennzahl" title="Dimensionslose Kennzahl">dimensionslos</a> </td></tr> <tr> <td>Definition </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathit {Ma}}={\frac {v}{c}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">M</mi> <mi class="MJX-tex-mathit" mathvariant="italic">a</mi> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>v</mi> <mi>c</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathit {Ma}}={\frac {v}{c}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/346c9feeaf773c36d7746fa0caea44390f3c9908" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.335ex; height:4.676ex;" alt="{\displaystyle {\mathit {Ma}}={\frac {v}{c}}}"></span> </td></tr> <tr> <td colspan="2" style="text-align:center;"> <table class="wikitable"> <tbody><tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e07b00e7fc0847fbd16391c778d65bc25c452597" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.128ex; height:1.676ex;" alt="{\displaystyle v}"></span></td> <td>Strömungsgeschwindigkeit </td></tr> <tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span></td> <td>Schallgeschwindigkeit </td></tr></tbody></table> </td></tr> <tr> <td>Benannt nach </td> <td><a href="/wiki/Ernst_Mach" title="Ernst Mach">Ernst Mach</a> </td></tr> <tr> <td>Anwendungsbereich </td> <td>kompressible Strömungen </td></tr> </tbody></table> <p>Die <b>Mach-Zahl</b> (auch <i>Machzahl</i>, <i>machsche Zahl</i> oder <i>Mach’sche Zahl</i>, <a href="/wiki/Formelzeichen" title="Formelzeichen">Formelzeichen</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathit {Ma}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">M</mi> <mi class="MJX-tex-mathit" mathvariant="italic">a</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathit {Ma}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5606ce3876a9622cce500e07a45fbf275369608a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.074ex; width:3.347ex; height:2.176ex;" alt="{\displaystyle {\mathit {Ma}}}"></span>) ist eine <a href="/wiki/Gr%C3%B6%C3%9Fe_der_Dimension_Zahl" class="mw-redirect" title="Größe der Dimension Zahl">dimensionslose Zahl</a> der <a href="/wiki/Str%C3%B6mungslehre" class="mw-redirect" title="Strömungslehre">Strömungslehre</a> für das Verhältnis der <a href="/wiki/Geschwindigkeit" title="Geschwindigkeit">Geschwindigkeit</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e07b00e7fc0847fbd16391c778d65bc25c452597" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.128ex; height:1.676ex;" alt="{\displaystyle v}"></span> (bspw. eines Körpers) zur <a href="/wiki/Schallgeschwindigkeit" title="Schallgeschwindigkeit">Schallgeschwindigkeit</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span> eines umgebenden <a href="/wiki/Fluid" title="Fluid">Fluids</a>. Ist beispielsweise ein Flugzeug genauso schnell wie der Schall, ist es mit „Mach 1“ unterwegs. Benannt ist die Mach-Zahl nach dem österreichischen Physiker und Philosophen <a href="/wiki/Ernst_Mach" title="Ernst Mach">Ernst Mach</a>. Die Bezeichnung wurde 1929 von dem Schweizer Aerodynamiker <a href="/wiki/Jakob_Ackeret" title="Jakob Ackeret">Jakob Ackeret</a> eingeführt.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <div id="toc" class="toc" role="navigation" aria-labelledby="mw-toc-heading"><input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none" /><div class="toctitle" lang="de" dir="ltr"><h2 id="mw-toc-heading">Inhaltsverzeichnis</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span></div> <ul> <li class="toclevel-1 tocsection-1"><a href="#Definition"><span class="tocnumber">1</span> <span class="toctext">Definition</span></a></li> <li class="toclevel-1 tocsection-2"><a href="#Gase"><span class="tocnumber">2</span> <span class="toctext">Gase</span></a></li> <li class="toclevel-1 tocsection-3"><a href="#Luftfahrt"><span class="tocnumber">3</span> <span class="toctext">Luftfahrt</span></a></li> <li class="toclevel-1 tocsection-4"><a href="#Siehe_auch"><span class="tocnumber">4</span> <span class="toctext">Siehe auch</span></a></li> <li class="toclevel-1 tocsection-5"><a href="#Literatur"><span class="tocnumber">5</span> <span class="toctext">Literatur</span></a></li> <li class="toclevel-1 tocsection-6"><a href="#Weblinks"><span class="tocnumber">6</span> <span class="toctext">Weblinks</span></a></li> <li class="toclevel-1 tocsection-7"><a href="#Einzelnachweise"><span class="tocnumber">7</span> <span class="toctext">Einzelnachweise</span></a></li> </ul> </div> <div class="mw-heading mw-heading2"><h2 id="Definition">Definition</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mach-Zahl&veaction=edit&section=1" title="Abschnitt bearbeiten: Definition" class="mw-editsection-visualeditor"><span>Bearbeiten</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mach-Zahl&action=edit&section=1" title="Quellcode des Abschnitts bearbeiten: Definition"><span>Quelltext bearbeiten</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Es gilt: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathit {Ma}}={\frac {v}{c}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">M</mi> <mi class="MJX-tex-mathit" mathvariant="italic">a</mi> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>v</mi> <mi>c</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathit {Ma}}={\frac {v}{c}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/346c9feeaf773c36d7746fa0caea44390f3c9908" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.335ex; height:4.676ex;" alt="{\displaystyle {\mathit {Ma}}={\frac {v}{c}}}"></span>.</dd></dl> <p>Unter Mach-Zahl=1, umgangssprachlich auch „Mach 1“, versteht man somit eine Strömung mit Schallgeschwindigkeit. Entsprechend lassen sich „Mach 2“ (die doppelte Schallgeschwindigkeit), Mach 3 usw. nicht in genaue Geschwindigkeiten umrechnen, ohne die Bezugsschallgeschwindigkeit zu kennen. </p><p>Mittels der Mach-Zahl lassen sich aber Strömungen in verschiedene Bereiche aufteilen, etwa: </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathit {Ma}}<0{,}8}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">M</mi> <mi class="MJX-tex-mathit" mathvariant="italic">a</mi> </mrow> </mrow> <mo><</mo> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>8</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathit {Ma}}<0{,}8}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b2e062c4233c627c022203d27c0ed63df5a13cc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.343ex; height:2.509ex;" alt="{\displaystyle {\mathit {Ma}}<0{,}8}"></span> subsonische Strömung,</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 0{,}8<{\mathit {Ma}}<1{,}2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>8</mn> <mo><</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">M</mi> <mi class="MJX-tex-mathit" mathvariant="italic">a</mi> </mrow> </mrow> <mo><</mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0{,}8<{\mathit {Ma}}<1{,}2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5034f3566b73e770fac036d6dce8ed711eec480" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:15.413ex; height:2.509ex;" alt="{\displaystyle 0{,}8<{\mathit {Ma}}<1{,}2}"></span> <a href="/wiki/Transsonische_Str%C3%B6mung" title="Transsonische Strömung">transsonische</a> Strömung,</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathit {Ma}}>1{,}2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">M</mi> <mi class="MJX-tex-mathit" mathvariant="italic">a</mi> </mrow> </mrow> <mo>></mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathit {Ma}}>1{,}2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d8c520a5ea703125803de412e2812b89adbc6f66" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.343ex; height:2.509ex;" alt="{\displaystyle {\mathit {Ma}}>1{,}2}"></span> <a href="/wiki/%C3%9Cberschallgeschwindigkeit" title="Überschallgeschwindigkeit">supersonische</a> Strömung.</li></ul> <p>Ab <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathit {Ma}}>5}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">M</mi> <mi class="MJX-tex-mathit" mathvariant="italic">a</mi> </mrow> </mrow> <mo>></mo> <mn>5</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathit {Ma}}>5}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7f4db5b9c20f9dcb42a7097a28bf9f9e0d1009ed" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.533ex; height:2.176ex;" alt="{\displaystyle {\mathit {Ma}}>5}"></span> spricht man auch von <a href="/wiki/Hyperschallgeschwindigkeit" title="Hyperschallgeschwindigkeit">hypersonischer</a> Strömung. </p><p>Diese Bereiche erfordern verschiedene Lösungsansätze, da für die Bereiche jeweils andere physikalische Phänomene auftreten. Beispielsweise treten für <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathit {Ma}}>0{,}3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">M</mi> <mi class="MJX-tex-mathit" mathvariant="italic">a</mi> </mrow> </mrow> <mo>></mo> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathit {Ma}}>0{,}3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83e81f4b90ab1e2ceedbb8c88c67f89a591f0c6d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.343ex; height:2.509ex;" alt="{\displaystyle {\mathit {Ma}}>0{,}3}"></span> kompressible Effekte in den Strömungen auf (kompressible Strömung), während solche Effekte im Regelfall für <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathit {Ma}}<0{,}3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">M</mi> <mi class="MJX-tex-mathit" mathvariant="italic">a</mi> </mrow> </mrow> <mo><</mo> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathit {Ma}}<0{,}3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fcbfbfe2f9d4bf8e737c86b9b09fcaa4d20194de" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.343ex; height:2.509ex;" alt="{\displaystyle {\mathit {Ma}}<0{,}3}"></span> keine Rolle spielen (inkompressible Strömung). </p> <div class="mw-heading mw-heading2"><h2 id="Gase">Gase</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mach-Zahl&veaction=edit&section=2" title="Abschnitt bearbeiten: Gase" class="mw-editsection-visualeditor"><span>Bearbeiten</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mach-Zahl&action=edit&section=2" title="Quellcode des Abschnitts bearbeiten: Gase"><span>Quelltext bearbeiten</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Meist wird die Mach-Zahl verwendet, wenn das Fluid ein Gas ist. Mit der <a href="/wiki/Ideale_Gasgleichung" class="mw-redirect" title="Ideale Gasgleichung">idealen Gasgleichung</a> kann man die <a href="/wiki/Schallgeschwindigkeit" title="Schallgeschwindigkeit">Schallgeschwindigkeit</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span> in Gasen durch die Temperatur ersetzen, was auf den folgenden Ausdruck führt: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathit {Ma}}={\frac {v}{\sqrt {\kappa \,R_{\mathrm {S} }\,T}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">M</mi> <mi class="MJX-tex-mathit" mathvariant="italic">a</mi> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>v</mi> <msqrt> <mi>κ</mi> <mspace width="thinmathspace" /> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">S</mi> </mrow> </mrow> </msub> <mspace width="thinmathspace" /> <mi>T</mi> </msqrt> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathit {Ma}}={\frac {v}{\sqrt {\kappa \,R_{\mathrm {S} }\,T}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f4608408200beee45b610da0e15438a1a0c829c5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:16.191ex; height:6.009ex;" alt="{\displaystyle {\mathit {Ma}}={\frac {v}{\sqrt {\kappa \,R_{\mathrm {S} }\,T}}}}"></span>.</dd></dl> <p>Darin sind </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \kappa }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>κ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \kappa }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/54ddec2e922c5caea4e47d04feef86e782dc8e6d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:1.676ex;" alt="{\displaystyle \kappa }"></span> der <a href="/wiki/Isentropenexponent" title="Isentropenexponent">Isentropenexponent</a> des Fluids unter den gegebenen Randbedingungen,</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R_{\mathrm {S} }={\frac {R}{M}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">S</mi> </mrow> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>R</mi> <mi>M</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R_{\mathrm {S} }={\frac {R}{M}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f79ce695e2cd858a6001067061b57f918f7816dd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:9.287ex; height:5.176ex;" alt="{\displaystyle R_{\mathrm {S} }={\frac {R}{M}}}"></span> die auf die <a href="/wiki/Molmasse" class="mw-redirect" title="Molmasse">Molmasse</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f82cade9898ced02fdd08712e5f0c0151758a0dd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.442ex; height:2.176ex;" alt="{\displaystyle M}"></span> bezogene allgemeine <a href="/wiki/Gaskonstante" title="Gaskonstante">Gaskonstante</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0bfb3769bf24d80e15374dc37b0441e2616e33" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.176ex;" alt="{\displaystyle R}"></span> und</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span> die <i>Temperatur</i> des betrachteten Gases.</li></ul> <p>Im Allgemeinen variiert der Isentropenexponent <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \kappa }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>κ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \kappa }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/54ddec2e922c5caea4e47d04feef86e782dc8e6d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:1.676ex;" alt="{\displaystyle \kappa }"></span> auch für ein spezielles Fluid in Abhängigkeit vom Druck <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span> und der Temperatur <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span>. Für hinreichend kleine Druck- und Temperaturveränderungen kann er als konstant angenähert werden. </p> <div class="mw-heading mw-heading2"><h2 id="Luftfahrt">Luftfahrt</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mach-Zahl&veaction=edit&section=3" title="Abschnitt bearbeiten: Luftfahrt" class="mw-editsection-visualeditor"><span>Bearbeiten</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mach-Zahl&action=edit&section=3" title="Quellcode des Abschnitts bearbeiten: Luftfahrt"><span>Quelltext bearbeiten</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Datei:FA-18_Hornet_breaking_sound_barrier_(7_July_1999)_-_filtered.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/FA-18_Hornet_breaking_sound_barrier_%287_July_1999%29_-_filtered.jpg/220px-FA-18_Hornet_breaking_sound_barrier_%287_July_1999%29_-_filtered.jpg" decoding="async" width="220" height="157" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/FA-18_Hornet_breaking_sound_barrier_%287_July_1999%29_-_filtered.jpg/330px-FA-18_Hornet_breaking_sound_barrier_%287_July_1999%29_-_filtered.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f5/FA-18_Hornet_breaking_sound_barrier_%287_July_1999%29_-_filtered.jpg/440px-FA-18_Hornet_breaking_sound_barrier_%287_July_1999%29_-_filtered.jpg 2x" data-file-width="2100" data-file-height="1500" /></a><figcaption>Eine <a href="/wiki/McDonnell_Douglas_F/A-18" title="McDonnell Douglas F/A-18">McDonnell Douglas F/A-18 Hornet</a> im <a href="/wiki/%C3%9Cberschallflug" title="Überschallflug">Überschallflug</a>; die Stoßfront des <a href="/wiki/Machscher_Kegel" title="Machscher Kegel">Machschen Kegels</a> ist als <a href="/wiki/Wolkenscheibeneffekt" title="Wolkenscheibeneffekt">Wolkenscheibe</a> sichtbar</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Datei:Internationale_Standard_Atmosph%C3%A4re.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/de/thumb/6/67/Internationale_Standard_Atmosph%C3%A4re.png/220px-Internationale_Standard_Atmosph%C3%A4re.png" decoding="async" width="220" height="266" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/de/thumb/6/67/Internationale_Standard_Atmosph%C3%A4re.png/330px-Internationale_Standard_Atmosph%C3%A4re.png 1.5x, //upload.wikimedia.org/wikipedia/de/thumb/6/67/Internationale_Standard_Atmosph%C3%A4re.png/440px-Internationale_Standard_Atmosph%C3%A4re.png 2x" data-file-width="502" data-file-height="606" /></a><figcaption>Standardatmosphäre, die Werte der Schallgeschwindigkeit in der vorletzten Spalte sind in <a href="/wiki/Knoten_(Einheit)" title="Knoten (Einheit)">Knoten</a> angegeben. Umrechnung: 1 Knoten = 1,852 km/h ≈ 0,514444 m/s</figcaption></figure> <p>In der <a href="/wiki/Luftfahrt" title="Luftfahrt">Luftfahrt</a> wird die Mach-Zahl zur dimensionslosen Angabe der <a href="/wiki/Fluggeschwindigkeit" title="Fluggeschwindigkeit">Fluggeschwindigkeit</a> schnell fliegender <a href="/wiki/Flugzeug" title="Flugzeug">Flugzeuge</a> verwendet. Sie stellt das Verhältnis der Fluggeschwindigkeit zur <a href="/wiki/Schallgeschwindigkeit" title="Schallgeschwindigkeit">Schallgeschwindigkeit</a> in der Umgebungsluft dar. Da die Schallgeschwindigkeit vor allem von der <a href="/wiki/Lufttemperatur" title="Lufttemperatur">Lufttemperatur</a>, und diese wiederum von der <a href="/wiki/Flugh%C3%B6he" title="Flughöhe">Flughöhe</a> abhängig ist, ist die Anzeige der Mach-Zahl die einzige in jeder Reise-Flughöhe und bei jeder Umgebungstemperatur vergleichbare Aussage. Dies ist insbesondere bei Verkehrsflugzeugen zur Einhaltung der vom Flugzeughersteller vorgegebenen Höchstgeschwindigkeit (M<sub>MO</sub>, <i>Mach Maximum Operating Number</i>) betreffend der <a href="/wiki/Fluggeschwindigkeit#Wahre_Fluggeschwindigkeit_(TAS)" title="Fluggeschwindigkeit">tatsächlichen Fluggeschwindigkeit (TAS, engl. true airspeed)</a> relativ zur Umgebungsluft von großer Bedeutung. Ein Überschreiten der M<sub>MO</sub> führt zum Erreichen der <a href="/wiki/Kritische_Machzahl#Kritische_Machzahl_im_Flugwesen" title="Kritische Machzahl">kritischen Mach-Zahl</a> und damit zu <a href="/wiki/Grenzschichtabl%C3%B6sung" title="Grenzschichtablösung">Grenzschichtablösungen</a> als Ursache von <a href="/wiki/Str%C3%B6mungsabriss" title="Strömungsabriss">Strömungsabrissen</a> und einem damit verbundenen Absturzrisiko sowie zu sprunghaft auftretenden extremen mechanischen Belastungen der Flugzeugstruktur. Die Mach-Zahl wird von einem speziellen Fluginstrument, dem <a href="/wiki/Machmeter" title="Machmeter">Machmeter</a>, angezeigt. </p> <table class="wikitable" style="text-align:center"> <caption>Schallgeschwindigkeit in Luft in Abhängigkeit von der Temperatur </caption> <tbody><tr> <th>Temperatur </th> <th colspan="2">Schallgeschwindigkeit </th></tr> <tr> <td>−50 °C</td> <td>1080 km/h</td> <td>≈ 300 m/s </td></tr> <tr> <td>−25 °C</td> <td>1134 km/h</td> <td>≈ 315 m/s </td></tr> <tr> <td><span style="visibility:hidden;">0</span>0 °C</td> <td>1193 km/h</td> <td>≈ 331 m/s </td></tr> <tr> <td>20 °C</td> <td>1235 km/h</td> <td>≈ 343 m/s </td></tr> <tr> <td>25 °C</td> <td>1245 km/h</td> <td>≈ 346 m/s </td></tr></tbody></table> <p>Bei einer Temperatur von −50 °C und einem Luftdruck von 26 kPa (nach <a href="/wiki/Standardatmosph%C3%A4re" class="mw-redirect" title="Standardatmosphäre">Standardatmosphäre</a> üblich in ca. 10.000 m Flughöhe) beträgt die Schallgeschwindigkeit rund 300 m/s = 1080 km/h. Ein Passagierflugzeug, das unter diesen Bedingungen mit einer Reisegeschwindigkeit von Mach 0,8 fliegt, hat eine Geschwindigkeit von 240 m/s = 864 km/h. </p> <div class="mw-heading mw-heading2"><h2 id="Siehe_auch">Siehe auch</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mach-Zahl&veaction=edit&section=4" title="Abschnitt bearbeiten: Siehe auch" class="mw-editsection-visualeditor"><span>Bearbeiten</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mach-Zahl&action=edit&section=4" title="Quellcode des Abschnitts bearbeiten: Siehe auch"><span>Quelltext bearbeiten</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Laval-Zahl" title="Laval-Zahl">Laval-Zahl</a></li> <li><a href="/wiki/Cauchy-Zahl" title="Cauchy-Zahl">Cauchy-Zahl</a> (zur Laval-Zahl analoge Kennzahl in Festkörpern)</li> <li><a href="/wiki/Hyperschallgeschwindigkeit" title="Hyperschallgeschwindigkeit">Hyperschallgeschwindigkeit</a></li> <li><a href="/wiki/Hyperschallwaffe" title="Hyperschallwaffe">Hyperschallwaffe</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Literatur">Literatur</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mach-Zahl&veaction=edit&section=5" title="Abschnitt bearbeiten: Literatur" class="mw-editsection-visualeditor"><span>Bearbeiten</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mach-Zahl&action=edit&section=5" title="Quellcode des Abschnitts bearbeiten: Literatur"><span>Quelltext bearbeiten</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Ernst Götsch: <cite style="font-style:italic">Luftfahrzeugtechnik</cite>. Einführung, Grundlagen, Luftfahrzeugkunde. Motorbuch-Verlag, Stuttgart 2003, <a href="/wiki/Spezial:ISBN-Suche/3613020068" class="internal mw-magiclink-isbn">ISBN 3-613-02006-8</a>.<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rfr_id=info:sid/de.wikipedia.org:Mach-Zahl&rft.au=Ernst+G%C3%B6tsch&rft.btitle=Luftfahrzeugtechnik&rft.date=2003&rft.genre=book&rft.isbn=3613020068&rft.place=Stuttgart&rft.pub=Motorbuch-Verlag" style="display:none"> </span></li> <li>Michael Grossrubatscher: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Pilots reference guide</cite>. 7., revidierte Auflage. Eigenverlag des Autors, München 2008, <a href="/wiki/Spezial:ISBN-Suche/9783000252525" class="internal mw-magiclink-isbn">ISBN 978-3-00-025252-5</a> (englisch).<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rfr_id=info:sid/de.wikipedia.org:Mach-Zahl&rft.au=Michael+Grossrubatscher&rft.btitle=Pilots+reference+guide&rft.date=2008&rft.edition=7.%2C+revidierte&rft.genre=book&rft.isbn=9783000252525&rft.place=M%C3%BCnchen&rft.pub=Eigenverlag+des+Autors" style="display:none"> </span></li> <li>N. Rott: Jakob Ackert and the History of the Mach Number. <i>Annual Review of Fluid Mechanics</i> 17 (1985), S. 1–9.</li> <li>N. Rott: J. Ackeret und die Geschichte der Machschen Zahl. <i>Schweizer Ingenieur und Architekt</i> 21 (1983), S. 591–594.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Weblinks">Weblinks</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mach-Zahl&veaction=edit&section=6" title="Abschnitt bearbeiten: Weblinks" class="mw-editsection-visualeditor"><span>Bearbeiten</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mach-Zahl&action=edit&section=6" title="Quellcode des Abschnitts bearbeiten: Weblinks"><span>Quelltext bearbeiten</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="sisterproject" style="margin:0.1em 0 0 0;"><div class="noresize noviewer" style="display:inline-block; line-height:10px; min-width:1.6em; text-align:center;" aria-hidden="true" role="presentation"><span class="mw-default-size" typeof="mw:File"><span title="Commons"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" decoding="async" width="12" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/24px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></div><b><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Mach_number?uselang=de"><span lang="en">Commons</span>: Mach-Zahl</a></span></b> – Sammlung von Bildern, Videos und Audiodateien</div> <ul><li><a rel="nofollow" class="external text" href="https://www.grc.nasa.gov/WWW/K-12/airplane/machu.html">Machzahlrechner – Java</a> (englisch)</li> <li><a rel="nofollow" class="external text" href="http://www.cactus2000.de/de/unit/massmac.shtml">Berechner für Schallgeschwindigkeit und Mach-Zahl</a></li> <li><a rel="nofollow" class="external text" href="http://www.sengpielaudio.com/Rechner-schallgeschw.htm">Die Schallgeschwindigkeit und die wichtige Temperatur</a></li> <li><a rel="nofollow" class="external text" href="https://www.grc.nasa.gov/WWW/K-12/airplane/mach.html">Mach Number</a> NASA <a href="/wiki/Glenn_Research_Center" title="Glenn Research Center">Glenn Research Center</a> (englisch)</li></ul> <div class="mw-heading mw-heading2"><h2 id="Einzelnachweise">Einzelnachweise</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mach-Zahl&veaction=edit&section=7" title="Abschnitt bearbeiten: Einzelnachweise" class="mw-editsection-visualeditor"><span>Bearbeiten</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mach-Zahl&action=edit&section=7" title="Quellcode des Abschnitts bearbeiten: Einzelnachweise"><span>Quelltext bearbeiten</span></a><span class="mw-editsection-bracket">]</span></span></div> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Jakob Ackeret: Der Luftwiderstand bei sehr großen Geschwindigkeiten. Schweizerische Bauzeitung 94 (Oktober 1929), S. 179–183. See also: N. Rott: Jakob Ackeret and the History of the Mach Number. Annual Review of Fluid Mechanics 17 (1985), S. 1–9; N. Rott: J. Ackeret und die Geschichte der Machschen Zahl. 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class="mw-list-item"><a href="/wiki/Spezial:Letzte_%C3%84nderungen" title="Liste der letzten Änderungen in Wikipedia [r]" accesskey="r"><span>Letzte Änderungen</span></a></li><li id="n-contact" class="mw-list-item"><a href="/wiki/Wikipedia:Kontakt" title="Kontaktmöglichkeiten"><span>Kontakt</span></a></li><li id="n-sitesupport" class="mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_de.wikipedia.org&uselang=de" title="Unterstütze uns"><span>Spenden</span></a></li> </ul> </div> </nav> <nav id="p-tb" class="mw-portlet mw-portlet-tb vector-menu-portal portal vector-menu" aria-labelledby="p-tb-label" > <h3 id="p-tb-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Werkzeuge</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Spezial:Linkliste/Mach-Zahl" title="Liste aller Seiten, die hierher verlinken [j]" accesskey="j"><span>Links auf diese Seite</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Spezial:%C3%84nderungen_an_verlinkten_Seiten/Mach-Zahl" rel="nofollow" title="Letzte Änderungen an Seiten, die von hier verlinkt sind [k]" accesskey="k"><span>Änderungen an verlinkten Seiten</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Spezial:Spezialseiten" title="Liste aller Spezialseiten [q]" accesskey="q"><span>Spezialseiten</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Mach-Zahl&oldid=247945693" title="Dauerhafter Link zu dieser Seitenversion"><span>Permanenter Link</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Mach-Zahl&action=info" title="Weitere Informationen über diese Seite"><span>Seiteninformationen</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Spezial:Zitierhilfe&page=Mach-Zahl&id=247945693&wpFormIdentifier=titleform" title="Hinweise, wie diese Seite zitiert werden kann"><span>Artikel zitieren</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Spezial:URL-K%C3%BCrzung&url=https%3A%2F%2Fde.wikipedia.org%2Fwiki%2FMach-Zahl"><span>Kurzlink</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Spezial:QrCode&url=https%3A%2F%2Fde.wikipedia.org%2Fwiki%2FMach-Zahl"><span>QR-Code herunterladen</span></a></li> </ul> </div> </nav> <nav id="p-coll-print_export" class="mw-portlet mw-portlet-coll-print_export vector-menu-portal portal vector-menu" aria-labelledby="p-coll-print_export-label" > <h3 id="p-coll-print_export-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Drucken/exportieren</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Spezial:DownloadAsPdf&page=Mach-Zahl&action=show-download-screen"><span>Als PDF herunterladen</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Mach-Zahl&printable=yes" title="Druckansicht dieser Seite [p]" accesskey="p"><span>Druckversion</span></a></li> </ul> </div> </nav> <nav id="p-wikibase-otherprojects" class="mw-portlet mw-portlet-wikibase-otherprojects vector-menu-portal portal vector-menu" aria-labelledby="p-wikibase-otherprojects-label" > <h3 id="p-wikibase-otherprojects-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">In anderen Projekten</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Mach_number" hreflang="en"><span>Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q160669" title="Link zum verbundenen Objekt im Datenrepositorium [g]" accesskey="g"><span>Wikidata-Datenobjekt</span></a></li> </ul> </div> </nav> <nav id="p-lang" class="mw-portlet mw-portlet-lang vector-menu-portal portal vector-menu" aria-labelledby="p-lang-label" > <h3 id="p-lang-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">In anderen Sprachen</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Mach-getal" title="Mach-getal – Afrikaans" lang="af" hreflang="af" data-title="Mach-getal" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Mach" title="Mach – Aragonesisch" lang="an" hreflang="an" data-title="Mach" data-language-autonym="Aragonés" data-language-local-name="Aragonesisch" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D9%85%D8%A7%D8%AE" title="عدد ماخ – Arabisch" lang="ar" hreflang="ar" data-title="عدد ماخ" data-language-autonym="العربية" data-language-local-name="Arabisch" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/N%C3%BAmberu_Mach" title="Númberu Mach – Asturisch" lang="ast" hreflang="ast" data-title="Númberu Mach" data-language-autonym="Asturianu" data-language-local-name="Asturisch" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Max_%C9%99d%C9%99di" title="Max ədədi – Aserbaidschanisch" lang="az" hreflang="az" data-title="Max ədədi" data-language-autonym="Azərbaycanca" data-language-local-name="Aserbaidschanisch" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9B%D1%96%D0%BA_%D0%9C%D0%B0%D1%85%D0%B0" title="Лік Маха – Belarussisch" lang="be" hreflang="be" data-title="Лік Маха" data-language-autonym="Беларуская" data-language-local-name="Belarussisch" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE_%D0%BD%D0%B0_%D0%9C%D0%B0%D1%85" title="Число на Мах – Bulgarisch" lang="bg" hreflang="bg" data-title="Число на Мах" data-language-autonym="Български" data-language-local-name="Bulgarisch" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AE%E0%A6%BE%E0%A6%96_%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE" title="মাখ সংখ্যা – Bengalisch" lang="bn" hreflang="bn" data-title="মাখ সংখ্যা" data-language-autonym="বাংলা" data-language-local-name="Bengalisch" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Machov_broj" title="Machov broj – Bosnisch" lang="bs" hreflang="bs" data-title="Machov broj" data-language-autonym="Bosanski" data-language-local-name="Bosnisch" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Nombre_de_Mach" title="Nombre de Mach – Katalanisch" lang="ca" hreflang="ca" data-title="Nombre de Mach" data-language-autonym="Català" data-language-local-name="Katalanisch" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%98%D9%85%D8%A7%D8%B1%DB%95%DB%8C_%D9%85%D8%A7%DA%A9" title="ژمارەی ماک – Zentralkurdisch" lang="ckb" hreflang="ckb" data-title="ژمارەی ماک" data-language-autonym="کوردی" data-language-local-name="Zentralkurdisch" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Machovo_%C4%8D%C3%ADslo" title="Machovo číslo – Tschechisch" lang="cs" hreflang="cs" data-title="Machovo číslo" data-language-autonym="Čeština" data-language-local-name="Tschechisch" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Mach" title="Mach – Dänisch" lang="da" hreflang="da" data-title="Mach" data-language-autonym="Dansk" data-language-local-name="Dänisch" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%91%CF%81%CE%B9%CE%B8%CE%BC%CF%8C%CF%82_%CE%9C%CE%B1%CF%87" title="Αριθμός Μαχ – Griechisch" lang="el" hreflang="el" data-title="Αριθμός Μαχ" data-language-autonym="Ελληνικά" data-language-local-name="Griechisch" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Mach_number" title="Mach number – Englisch" lang="en" hreflang="en" data-title="Mach number" data-language-autonym="English" data-language-local-name="Englisch" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Ma%C4%A5o" title="Maĥo – Esperanto" lang="eo" hreflang="eo" data-title="Maĥo" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/N%C3%BAmero_Mach" title="Número Mach – Spanisch" lang="es" hreflang="es" data-title="Número Mach" data-language-autonym="Español" data-language-local-name="Spanisch" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Machi_arv" title="Machi arv – Estnisch" lang="et" hreflang="et" data-title="Machi arv" data-language-autonym="Eesti" data-language-local-name="Estnisch" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Mach_zenbakia" title="Mach zenbakia – Baskisch" lang="eu" hreflang="eu" data-title="Mach zenbakia" data-language-autonym="Euskara" data-language-local-name="Baskisch" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D9%85%D8%A7%D8%AE" title="عدد ماخ – Persisch" lang="fa" hreflang="fa" data-title="عدد ماخ" data-language-autonym="فارسی" data-language-local-name="Persisch" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Mach-luku" title="Mach-luku – Finnisch" lang="fi" hreflang="fi" data-title="Mach-luku" data-language-autonym="Suomi" data-language-local-name="Finnisch" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Nombre_de_Mach" title="Nombre de Mach – Französisch" lang="fr" hreflang="fr" data-title="Nombre de Mach" data-language-autonym="Français" data-language-local-name="Französisch" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Machuimhir" title="Machuimhir – Irisch" lang="ga" hreflang="ga" data-title="Machuimhir" data-language-autonym="Gaeilge" data-language-local-name="Irisch" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/N%C3%BAmero_de_Mach" title="Número de Mach – Galicisch" lang="gl" hreflang="gl" data-title="Número de Mach" data-language-autonym="Galego" data-language-local-name="Galicisch" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A1%D7%A4%D7%A8_%D7%9E%D7%90%D7%9A" title="מספר מאך – Hebräisch" lang="he" hreflang="he" data-title="מספר מאך" data-language-autonym="עברית" data-language-local-name="Hebräisch" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AE%E0%A5%88%E0%A4%95_%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="मैक संख्या – Hindi" lang="hi" hreflang="hi" data-title="मैक संख्या" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Mach" title="Mach – Kroatisch" lang="hr" hreflang="hr" data-title="Mach" data-language-autonym="Hrvatski" data-language-local-name="Kroatisch" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Mach-sz%C3%A1m" title="Mach-szám – Ungarisch" lang="hu" hreflang="hu" data-title="Mach-szám" data-language-autonym="Magyar" data-language-local-name="Ungarisch" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%A1%D5%AD%D5%AB_%D5%A9%D5%AB%D5%BE" title="Մախի թիվ – Armenisch" lang="hy" hreflang="hy" data-title="Մախի թիվ" data-language-autonym="Հայերեն" data-language-local-name="Armenisch" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Mach" title="Mach – Indonesisch" lang="id" hreflang="id" data-title="Mach" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesisch" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Mach" title="Mach – Ido" lang="io" hreflang="io" data-title="Mach" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Numero_di_Mach" title="Numero di Mach – Italienisch" lang="it" hreflang="it" data-title="Numero di Mach" data-language-autonym="Italiano" data-language-local-name="Italienisch" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%9E%E3%83%83%E3%83%8F%E6%95%B0" title="マッハ数 – Japanisch" lang="ja" hreflang="ja" data-title="マッハ数" data-language-autonym="日本語" data-language-local-name="Japanisch" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%90%E1%83%AE%E1%83%98%E1%83%A1_%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%95%E1%83%98" title="მახის რიცხვი – Georgisch" lang="ka" hreflang="ka" data-title="მახის რიცხვი" data-language-autonym="ქართული" data-language-local-name="Georgisch" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%85_%D1%81%D0%B0%D0%BD%D1%8B" title="Мах саны – Kasachisch" lang="kk" hreflang="kk" data-title="Мах саны" data-language-autonym="Қазақша" data-language-local-name="Kasachisch" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%AE%E0%B3%8D%E0%B2%AF%E0%B2%BE%E0%B2%95%E0%B3%8D_%E0%B2%B8%E0%B2%82%E0%B2%96%E0%B3%8D%E0%B2%AF%E0%B3%86" title="ಮ್ಯಾಕ್ ಸಂಖ್ಯೆ – Kannada" lang="kn" hreflang="kn" data-title="ಮ್ಯಾಕ್ ಸಂಖ್ಯೆ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%A7%88%ED%95%98_%EC%88%98" title="마하 수 – Koreanisch" lang="ko" hreflang="ko" data-title="마하 수" data-language-autonym="한국어" data-language-local-name="Koreanisch" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Numerus_Machianus" title="Numerus Machianus – Latein" lang="la" hreflang="la" data-title="Numerus Machianus" data-language-autonym="Latina" data-language-local-name="Latein" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Macho_skai%C4%8Dius" title="Macho skaičius – Litauisch" lang="lt" hreflang="lt" data-title="Macho skaičius" data-language-autonym="Lietuvių" data-language-local-name="Litauisch" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Maha_skaitlis" title="Maha skaitlis – Lettisch" lang="lv" hreflang="lv" data-title="Maha skaitlis" data-language-autonym="Latviešu" data-language-local-name="Lettisch" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AE%E0%B4%BE%E0%B4%95%E0%B5%8D_%E0%B4%B8%E0%B4%82%E0%B4%96%E0%B5%8D%E0%B4%AF" title="മാക് സംഖ്യ – Malayalam" lang="ml" hreflang="ml" data-title="മാക് സംഖ്യ" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%9C%D0%B0%D1%85%D1%8B%D0%BD_%D1%82%D0%BE%D0%BE" title="Махын тоо – Mongolisch" lang="mn" hreflang="mn" data-title="Махын тоо" data-language-autonym="Монгол" data-language-local-name="Mongolisch" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%AE%E0%A4%BE%E0%A4%96_%E0%A4%95%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A4%BE%E0%A4%82%E0%A4%95" title="माख क्रमांक – Marathi" lang="mr" hreflang="mr" data-title="माख क्रमांक" data-language-autonym="मराठी" data-language-local-name="Marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Nombor_Mach" title="Nombor Mach – Malaiisch" lang="ms" hreflang="ms" data-title="Nombor Mach" data-language-autonym="Bahasa Melayu" data-language-local-name="Malaiisch" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Machgetal" title="Machgetal – Niederländisch" lang="nl" hreflang="nl" data-title="Machgetal" data-language-autonym="Nederlands" data-language-local-name="Niederländisch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Mach" title="Mach – Norwegisch (Nynorsk)" lang="nn" hreflang="nn" data-title="Mach" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegisch (Nynorsk)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Mach" title="Mach – Norwegisch (Bokmål)" lang="nb" hreflang="nb" data-title="Mach" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegisch (Bokmål)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Nombre_de_Mach" title="Nombre de Mach – Okzitanisch" lang="oc" hreflang="oc" data-title="Nombre de Mach" data-language-autonym="Occitan" data-language-local-name="Okzitanisch" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Liczba_Macha" title="Liczba Macha – Polnisch" lang="pl" hreflang="pl" data-title="Liczba Macha" data-language-autonym="Polski" data-language-local-name="Polnisch" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/N%C3%BAmero_de_Mach" title="Número de Mach – Portugiesisch" lang="pt" hreflang="pt" data-title="Número de Mach" data-language-autonym="Português" data-language-local-name="Portugiesisch" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Num%C4%83r_Mach" title="Număr Mach – Rumänisch" lang="ro" hreflang="ro" data-title="Număr Mach" data-language-autonym="Română" data-language-local-name="Rumänisch" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE_%D0%9C%D0%B0%D1%85%D0%B0" title="Число Маха – Russisch" lang="ru" hreflang="ru" data-title="Число Маха" data-language-autonym="Русский" data-language-local-name="Russisch" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Mah" title="Mah – Serbokroatisch" lang="sh" hreflang="sh" data-title="Mah" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbokroatisch" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Mach_number" title="Mach number – einfaches Englisch" lang="en-simple" hreflang="en-simple" data-title="Mach number" data-language-autonym="Simple English" data-language-local-name="einfaches Englisch" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Machovo_%C4%8D%C3%ADslo" title="Machovo číslo – Slowakisch" lang="sk" hreflang="sk" data-title="Machovo číslo" data-language-autonym="Slovenčina" data-language-local-name="Slowakisch" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Machovo_%C5%A1tevilo" title="Machovo število – Slowenisch" lang="sl" hreflang="sl" data-title="Machovo število" data-language-autonym="Slovenščina" data-language-local-name="Slowenisch" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Numri_Mak" title="Numri Mak – Albanisch" lang="sq" hreflang="sq" data-title="Numri Mak" data-language-autonym="Shqip" data-language-local-name="Albanisch" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9C%D0%B0%D1%85%D0%BE%D0%B2_%D0%B1%D1%80%D0%BE%D1%98" title="Махов број – Serbisch" lang="sr" hreflang="sr" data-title="Махов број" data-language-autonym="Српски / srpski" data-language-local-name="Serbisch" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Mach" title="Mach – Schwedisch" lang="sv" hreflang="sv" data-title="Mach" data-language-autonym="Svenska" data-language-local-name="Schwedisch" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AE%E0%AE%BE%E0%AE%95%E0%AF%8D_%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="மாக் எண் – Tamil" lang="ta" hreflang="ta" data-title="மாக் எண்" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%A5%E0%B8%82%E0%B8%A1%E0%B8%B1%E0%B8%84" title="เลขมัค – Thailändisch" lang="th" hreflang="th" data-title="เลขมัค" data-language-autonym="ไทย" data-language-local-name="Thailändisch" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Mach_say%C4%B1s%C4%B1" title="Mach sayısı – Türkisch" lang="tr" hreflang="tr" data-title="Mach sayısı" data-language-autonym="Türkçe" data-language-local-name="Türkisch" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE_%D0%9C%D0%B0%D1%85%D0%B0" title="Число Маха – Ukrainisch" lang="uk" hreflang="uk" data-title="Число Маха" data-language-autonym="Українська" data-language-local-name="Ukrainisch" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%85%D8%A7%DA%A9" title="ماک – Urdu" lang="ur" hreflang="ur" data-title="ماک" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%E1%BB%91_Mach" title="Số Mach – Vietnamesisch" lang="vi" hreflang="vi" data-title="Số Mach" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamesisch" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E9%A9%AC%E8%B5%AB" title="马赫 – Wu" lang="wuu" hreflang="wuu" data-title="马赫" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E9%A9%AC%E8%B5%AB" title="马赫 – Chinesisch" lang="zh" hreflang="zh" data-title="马赫" data-language-autonym="中文" data-language-local-name="Chinesisch" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%A6%AC%E8%B5%AB" title="馬赫 – Kantonesisch" lang="yue" hreflang="yue" data-title="馬赫" data-language-autonym="粵語" data-language-local-name="Kantonesisch" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit 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