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Ekvipotensiell temperatur – Wikipedia

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mw-list-item"><a href="https://da.wikipedia.org/wiki/%C3%86kvivalent_potentialtemperatur" title="Ækvivalent potentialtemperatur – dansk" lang="da" hreflang="da" data-title="Ækvivalent potentialtemperatur" data-language-autonym="Dansk" data-language-local-name="dansk" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Equivalent_potential_temperature" title="Equivalent potential temperature – engelsk" lang="en" hreflang="en" data-title="Equivalent potential temperature" data-language-autonym="English" data-language-local-name="engelsk" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Temp%C3%A9rature_potentielle_%C3%A9quivalente" title="Température potentielle équivalente – fransk" lang="fr" hreflang="fr" data-title="Température potentielle équivalente" 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</div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Sideverktøy"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Utsjånad"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Utsjånad</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" 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_{e}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>(</mo> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left(\theta _{e}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5aa2e40020036d865ff1cc22add2f75134bfb64e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.898ex; height:2.843ex;" alt="{\displaystyle \left(\theta _{e}\right)}"></span>, er eit mål på stabiliteten til lufta ved eit visst <a href="/wiki/Trykk" title="Trykk">trykk</a>, <a href="/wiki/Fukt" title="Fukt">fukt</a> og <a href="/wiki/Temperatur" title="Temperatur">temperatur</a>. Viss ein tenkjer seg ein <a href="/wiki/Luftpakke" title="Luftpakke">luftpakke</a> med ein viss temperatur eit godt stykke over bakkenivå, der all fukt <a href="/wiki/Kondensasjon" title="Kondensasjon">kondenserer</a> og fell ut som <a href="/wiki/Regn" title="Regn">regn</a>, så kan den <a href="/wiki/Latent_varme" title="Latent varme">latente varmen</a> som vert frigjeve brukast til å varme opp den tørre lufta. Temperaturen i ein slik luftpakke vert kalla <i><a href="/wiki/Ekvivalent_temperatur" title="Ekvivalent temperatur">ekvivalent temperatur</a></i>. Ekvipotensiell temperatur får ein då ved å rekne oss langs <a href="/wiki/Adiabatisk_temperaturendring" title="Adiabatisk temperaturendring">tørr-adiabaten</a> ned til havnivå. Til dømes kan luftpakken i utgangspunktet ligge i 1000 m høgd med ein ekvivalent temperatur på 5&#160;°C. Visst ein senkar luftpakken tørr-adiabatisk (ca 1&#160;°C/100 m) vil den ekvipotensielle temperaturen i dette tilfellet vere 5&#160;°C + 10&#160;°C = 15&#160;°C. </p><p>Denne metoden kan ein bruke som eit mål på stabiliteten til lufta i forskjellige trykknivå. </p><p>Likninga for theta-e er som følgjer: </p><p><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 \theta _{e}=T_{e}\left({\frac {p_{0}}{p}}\right)^{\frac {R}{c_{p}}}\approx \left(T+{\frac {l_{v}}{c_{p}}}r\right)\left({\frac {p_{0}}{p}}\right)^{\frac {R}{c_{p}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>&#x03B8;<!-- θ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mi>p</mi> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>R</mi> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </msub> </mfrac> </mrow> </msup> <mo>&#x2248;<!-- ≈ --></mo> <mrow> <mo>(</mo> <mrow> <mi>T</mi> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </msub> </mfrac> </mrow> <mi>r</mi> </mrow> <mo>)</mo> </mrow> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mi>p</mi> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>R</mi> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </msub> </mfrac> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta _{e}=T_{e}\left({\frac {p_{0}}{p}}\right)^{\frac {R}{c_{p}}}\approx \left(T+{\frac {l_{v}}{c_{p}}}r\right)\left({\frac {p_{0}}{p}}\right)^{\frac {R}{c_{p}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dcfed8a7fa57aaaff16c8595025d8ed680ddd812" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:40.742ex; height:7.343ex;" alt="{\displaystyle \theta _{e}=T_{e}\left({\frac {p_{0}}{p}}\right)^{\frac {R}{c_{p}}}\approx \left(T+{\frac {l_{v}}{c_{p}}}r\right)\left({\frac {p_{0}}{p}}\right)^{\frac {R}{c_{p}}}}"></span> </p><p>der: </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 T_{e}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{e}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2db970f307b2a8900a1e3644dcec78d60e3a8a9b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.356ex; height:2.509ex;" alt="{\displaystyle T_{e}}"></span> = <a href="/wiki/Ekvivalent_temperatur" title="Ekvivalent temperatur">ekvivalent temperatur</a></li> <li>T = Temperaturen i trykknivå p</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 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> = trykket (hPa)</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 p_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2b969ada68a88e2aeba9a2d2096abaf1fd53c21d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:2.313ex; height:2.009ex;" alt="{\displaystyle p_{0}}"></span> = standard referanse trykk (1000 hPa)</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}"> <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> = spesifikk <a href="/wiki/Gasskonstant" title="Gasskonstant">gasskonstant</a> for luft (287 J/(kg·K))</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 c_{p}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{p}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/77463f4fbb953a6f1fe19d83708e553f6d21457f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.066ex; height:2.343ex;" alt="{\displaystyle c_{p}}"></span> = spesfikk varme til tørrluft med konstant trykk (1004 J/(kg·K))</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 l_{v}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l_{v}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2a851f2c5729ec00f8247639d6057e91fda98ee0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.723ex; height:2.509ex;" alt="{\displaystyle l_{v}}"></span> = <a href="/wiki/Latent_varme" title="Latent varme">latent varme</a> frå fordamping ((2400 kJ/kg {ved 25&#160;°C} til 2600 kJ/kg {ved -40&#160;°C})</li> <li>r = <a href="/w/index.php?title=Blandingsforhold&amp;action=edit&amp;redlink=1" class="new" title="Blandingsforhold (sida finst ikkje)">blandingsforholdet</a> til vassdamp i luft.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Sjå_òg"><span id="Sj.C3.A5_.C3.B2g"></span>Sjå òg</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ekvipotensiell_temperatur&amp;veaction=edit&amp;section=1" title="Endre bolk: Sjå òg" class="mw-editsection-visualeditor"><span>endre</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ekvipotensiell_temperatur&amp;action=edit&amp;section=1" title="Rediger kildekoden til seksjonen Sjå òg"><span>endre wikiteksten</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Potensiell_temperatur" title="Potensiell temperatur">potensiell temperatur</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Referansar">Referansar</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ekvipotensiell_temperatur&amp;veaction=edit&amp;section=2" title="Endre bolk: Referansar" class="mw-editsection-visualeditor"><span>endre</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ekvipotensiell_temperatur&amp;action=edit&amp;section=2" title="Rediger kildekoden til seksjonen Referansar"><span>endre wikiteksten</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>M K Yau and R.R. Rogers, <i>Short Course in Cloud Physics, Third Edition</i>, publisert av Butterworth-Heinemann, 1. Januar, 1989, 304 sider. EAN 9780750632157 <a href="/wiki/Spesial:Bokkjelder/0750632151" class="internal mw-magiclink-isbn">ISBN 0-7506-3215-1</a></li> <li><a rel="nofollow" class="external free" href="http://meted.ucar.edu/awips/validate/thetae.htm">http://meted.ucar.edu/awips/validate/thetae.htm</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20060721132043/http://meted.ucar.edu/awips/validate/thetae.htm">Arkivert</a> 2006-07-21 ved <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.</li></ul> <!-- NewPP limit report Parsed by mw‐api‐int.codfw.main‐5457f5c844‐b4s88 Cached time: 20241120043531 Cache expiry: 2592000 Reduced expiry: false Complications: [] CPU time usage: 0.036 seconds Real time usage: 0.088 seconds Preprocessor visited node count: 68/1000000 Post‐expand include size: 410/2097152 bytes Template argument size: 0/2097152 bytes Highest expansion depth: 3/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 288/5000000 bytes Lua time usage: 0.003/10.000 seconds Lua memory usage: 622881/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 18.984 1 Mal:Webarchive 100.00% 18.984 1 -total --> <!-- Saved in parser cache with key nnwiki:pcache:idhash:46092-0!canonical and timestamp 20241120043531 and revision id 3431506. 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