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Disponibile in 17 lingue" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-17" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">17 lingue</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A2%D1%8D%D0%B0%D1%80%D1%8D%D0%BC%D0%B0_%D0%96%D1%83%D0%BA%D0%BE%D1%9E%D1%81%D0%BA%D0%B0%D0%B3%D0%B0" title="Тэарэма Жукоўскага - bielorusso" lang="be" hreflang="be" data-title="Тэарэма Жукоўскага" data-language-autonym="Беларуская" data-language-local-name="bielorusso" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Teorema_de_Kutta-Jukowski" title="Teorema de Kutta-Jukowski - catalano" lang="ca" hreflang="ca" data-title="Teorema de Kutta-Jukowski" data-language-autonym="Català" data-language-local-name="catalano" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Satz_von_Kutta-Joukowski" title="Satz von Kutta-Joukowski - tedesco" lang="de" hreflang="de" data-title="Satz von Kutta-Joukowski" data-language-autonym="Deutsch" data-language-local-name="tedesco" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Kutta%E2%80%93Joukowski_theorem" title="Kutta–Joukowski theorem - inglese" lang="en" hreflang="en" data-title="Kutta–Joukowski theorem" data-language-autonym="English" data-language-local-name="inglese" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Teorema_de_Kutta-Yukovski" title="Teorema de Kutta-Yukovski - spagnolo" lang="es" hreflang="es" data-title="Teorema de Kutta-Yukovski" data-language-autonym="Español" data-language-local-name="spagnolo" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Kutta%E2%80%93%C5%BDukovski-teoreema" title="Kutta–Žukovski-teoreema - finlandese" lang="fi" hreflang="fi" data-title="Kutta–Žukovski-teoreema" data-language-autonym="Suomi" data-language-local-name="finlandese" 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/Th%C3%A9or%C3%A8me_de_Kutta-Jukowski" title="Théorème de Kutta-Jukowski - francese" lang="fr" hreflang="fr" data-title="Théorème de Kutta-Jukowski" data-language-autonym="Français" data-language-local-name="francese" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A9%D7%A4%D7%98_%D7%A7%D7%95%D7%98%D7%94-%D7%96%27%D7%95%D7%A7%D7%95%D7%91%D7%A1%D7%A7%D7%99" title="משפט קוטה-ז'וקובסקי - ebraico" lang="he" hreflang="he" data-title="משפט קוטה-ז'וקובסקי" data-language-autonym="עברית" data-language-local-name="ebraico" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BA%D5%B8%D6%82%D5%AF%D5%B8%D5%BE%D5%BD%D5%AF%D5%B8%D6%82_%D5%A9%D5%A5%D5%B8%D6%80%D5%A5%D5%B4" title="Ժուկովսկու թեորեմ - armeno" lang="hy" hreflang="hy" data-title="Ժուկովսկու թեորեմ" data-language-autonym="Հայերեն" data-language-local-name="armeno" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%82%AF%E3%83%83%E3%82%BF%E3%83%BB%E3%82%B8%E3%83%A5%E3%82%B3%E3%83%BC%E3%83%95%E3%82%B9%E3%82%AD%E3%83%BC%E3%81%AE%E5%AE%9A%E7%90%86" title="クッタ・ジュコーフスキーの定理 - giapponese" lang="ja" hreflang="ja" data-title="クッタ・ジュコーフスキーの定理" data-language-autonym="日本語" data-language-local-name="giapponese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%96%D1%83%D0%BA%D0%BE%D0%B2%D1%81%D0%BA%D0%B8%D0%B9_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%D1%81%D1%8B" title="Жуковский теоремасы - kazako" lang="kk" hreflang="kk" data-title="Жуковский теоремасы" data-language-autonym="Қазақша" data-language-local-name="kazako" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%BF%A0%ED%83%80-%EC%A3%BC%EC%BD%A5%EC%8A%A4%ED%82%A4_%EC%A0%95%EB%A6%AC" title="쿠타-주콥스키 정리 - coreano" lang="ko" hreflang="ko" data-title="쿠타-주콥스키 정리" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Teorema_de_Kutta_Joukowski" title="Teorema de Kutta Joukowski - portoghese" lang="pt" hreflang="pt" data-title="Teorema de Kutta Joukowski" data-language-autonym="Português" data-language-local-name="portoghese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%96%D1%83%D0%BA%D0%BE%D0%B2%D1%81%D0%BA%D0%BE%D0%B3%D0%BE" title="Теорема Жуковского - russo" lang="ru" hreflang="ru" data-title="Теорема Жуковского" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%96%D1%83%D0%BA%D0%BE%D0%B2%D1%81%D1%8C%D0%BA%D0%BE%D0%B3%D0%BE" title="Теорема Жуковського - ucraino" lang="uk" hreflang="uk" data-title="Теорема Жуковського" data-language-autonym="Українська" data-language-local-name="ucraino" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%E1%BB%8Bnh_l%C3%BD_Kutta-Zhukovsky" title="Định lý Kutta-Zhukovsky - vietnamita" lang="vi" 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insufficienti</b>. <div class="hide-when-compact"> <div class="noprint"><hr />Puoi <a class="external text" href="https://it.wikipedia.org/w/index.php?title=Teorema_di_Kutta-%C5%BDukovskij&action=edit">migliorare questa voce</a> aggiungendo citazioni da <a href="/wiki/Wikipedia:Fonti_attendibili" title="Wikipedia:Fonti attendibili">fonti attendibili</a> secondo le <a href="/wiki/Wikipedia:Uso_delle_fonti" title="Wikipedia:Uso delle fonti">linee guida sull'uso delle fonti</a>. Segui i suggerimenti del <a href="/wiki/Progetto:Fisica" title="Progetto:Fisica">progetto di riferimento</a>.</div> </div> </div> </div> </div> <style data-mw-deduplicate="TemplateStyles:r130658582">body:not(.skin-minerva) .mw-parser-output .torna-a{font-size:95%}</style> <style data-mw-deduplicate="TemplateStyles:r139142988">.mw-parser-output .hatnote-content{align-items:center;display:flex}.mw-parser-output .hatnote-icon{flex-shrink:0}.mw-parser-output .hatnote-icon img{display:flex}.mw-parser-output .hatnote-text{font-style:italic}body:not(.skin-minerva) .mw-parser-output .hatnote{border:1px solid #CCC;display:flex;margin:.5em 0;padding:.2em .5em}body:not(.skin-minerva) .mw-parser-output .hatnote-text{padding-left:.5em}body.skin-minerva .mw-parser-output .hatnote-icon{padding-right:8px}body.skin-minerva .mw-parser-output .hatnote-icon img{height:auto;width:16px}body.skin--responsive .mw-parser-output .hatnote a.new{color:#d73333}body.skin--responsive .mw-parser-output .hatnote a.new:visited{color:#a55858}</style> <div class="hatnote noprint torna-a"> <div class="hatnote-content"><span class="noviewer hatnote-icon" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/1leftarrow_blue.svg/18px-1leftarrow_blue.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/1leftarrow_blue.svg/27px-1leftarrow_blue.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d6/1leftarrow_blue.svg/36px-1leftarrow_blue.svg.png 2x" data-file-width="480" data-file-height="480" /></span></span> <span class="hatnote-text">Voce principale: <b><a href="/wiki/Flusso_potenziale_incomprimibile" title="Flusso potenziale incomprimibile">flusso potenziale incomprimibile</a></b>.</span></div> </div> <p>Il <b>teorema di <a href="/wiki/Martin_Wilhelm_Kutta" title="Martin Wilhelm Kutta">Kutta</a>-<a href="/wiki/Nikolaj_Egorovi%C4%8D_%C5%BDukovskij" title="Nikolaj Egorovič Žukovskij">Žukovskij</a></b> afferma che, in un <a href="/wiki/Flusso_potenziale" title="Flusso potenziale">campo potenziale</a>, la <a href="/wiki/Portanza" title="Portanza">portanza</a> per unità di apertura, agente su un corpo in un flusso irrotazionale (una delle ipotesi di campo potenziale), è il prodotto della circolazione attorno alla sezione del corpo stesso, per la densità e per la velocità relativa del flusso indisturbato rispetto al corpo. Mentre la sua <a href="/wiki/Resistenza_fluidodinamica" title="Resistenza fluidodinamica">resistenza</a> è nulla: </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 {\begin{cases}D=0\\L=\rho U_{\displaystyle \infty }\Gamma \end{cases}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>{</mo> <mtable columnalign="left left" rowspacing=".2em" columnspacing="1em" displaystyle="false"> <mtr> <mtd> <mi>D</mi> <mo>=</mo> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mi>L</mi> <mo>=</mo> <mi>ρ</mi> <msub> <mi>U</mi> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">∞</mi> </mstyle> </mrow> </msub> <mi mathvariant="normal">Γ</mi> </mtd> </mtr> </mtable> <mo fence="true" stretchy="true" symmetric="true"></mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{cases}D=0\\L=\rho U_{\displaystyle \infty }\Gamma \end{cases}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/03556a7c707701b5f1b485dd88be11ed4d6e8bbc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:13.974ex; height:6.176ex;" alt="{\displaystyle {\begin{cases}D=0\\L=\rho U_{\displaystyle \infty }\Gamma \end{cases}}}"></span></dd></dl> <p>dove: </p> <ul><li><i>D</i> è la resistenza</li> <li><i>L</i> è la <a href="/wiki/Portanza" title="Portanza">portanza</a> per unità di apertura</li> <li><i>ρ</i> è la densità del fluido</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 U_{\displaystyle \infty }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>U</mi> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">∞</mi> </mstyle> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U_{\displaystyle \infty }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b7bb0d4b4e470700d49782733b51b7fdf6d37350" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.143ex; height:2.509ex;" alt="{\displaystyle U_{\displaystyle \infty }}"></span> è il modulo della velocità del flusso indisturbato</li> <li><i>Γ</i> è la <a href="/wiki/Circolazione_(fluidodinamica)" title="Circolazione (fluidodinamica)">circolazione</a>.</li></ul> <p>Questa soluzione si trova sovrapponendo le soluzioni di vortice libero, doppietta e corrente uniforme della teoria potenziale. Usando l'<a href="/wiki/Equazione_di_Bernoulli" title="Equazione di Bernoulli">equazione di Bernoulli</a> si ricava il valore della pressione e quindi quello di portanza e resistenza. </p> <div class="mw-heading mw-heading2"><h2 id="Voci_correlate">Voci correlate</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Teorema_di_Kutta-%C5%BDukovskij&veaction=edit&section=1" title="Modifica la sezione Voci correlate" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Teorema_di_Kutta-%C5%BDukovskij&action=edit&section=1" title="Edit section's source code: Voci correlate"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Flusso_potenziale" title="Flusso potenziale">Flusso potenziale</a></li> <li><a href="/wiki/Flusso_di_Stokes" title="Flusso di Stokes">Flusso di Stokes</a></li> <li><a href="/wiki/Circolazione_(fluidodinamica)" title="Circolazione (fluidodinamica)">Circolazione (fluidodinamica)</a></li> <li><a href="/wiki/Legge_di_Biot-Savart" title="Legge di Biot-Savart">Legge di Biot-Savart</a></li> <li><a href="/wiki/Vorticit%C3%A0" title="Vorticità">Vorticità</a></li></ul> <div class="noprint" style="width:100%; 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