In fluid dynamics, the Stokes stream function is used to describe the streamlines and flow velocity in a three-dimensional incompressible flow with axisymmetry. A surface with a constant value of the Stokes stream function encloses a streamtube, everywhere tangential to the flow velocity vectors. Further, the volume flux within this streamtube is constant, and all the streamlines of the flow are located on this surface. The velocity field associated with the Stokes stream function is solenoidal—it has zero divergence. This stream function is named in honor of George Gabriel Stokes.
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| - Stokessche Stromfunktion (de)
- 스트로스 흐름 상수 (ko)
- Stokes stream function (en)
- 斯托克斯流函数 (zh)
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| - In fluid dynamics, the Stokes stream function is used to describe the streamlines and flow velocity in a three-dimensional incompressible flow with axisymmetry. A surface with a constant value of the Stokes stream function encloses a streamtube, everywhere tangential to the flow velocity vectors. Further, the volume flux within this streamtube is constant, and all the streamlines of the flow are located on this surface. The velocity field associated with the Stokes stream function is solenoidal—it has zero divergence. This stream function is named in honor of George Gabriel Stokes. (en)
- 스톡스 스트림 함수(Stokes stream function)는 선대칭인 비압축성 흐름을 갖는 3차원에서의 유선(流線)과 유속(流速)을 표현하는데 사용된다. 상수값을 갖는 Stokes stream function의 표면은 유관(流管)을 에워싸는데, 이 유관(流管)의 모든 면은 유속벡터와 정접(正接)한다. 더 나아가, 유관(流管) 내부의 체적유량(體積流量)은 상수이고, 이 흐름의 모든 유선(流線)은 유관(流管)의 표면에 위치한다. Stokes stream function과 관련된 (速度場)은 관상(管狀)이다—발산값이 0이다. 이 stream은 George Gabriel Stokes의 이름을 따서 붙여졌다. (ko)
- 斯托克斯流函数（英語：Stokes stream function）在流体力学中用于描述轴对称的三维不可压缩流体的与流速。斯托克斯流函数的等值面形成流管，其上的每一点都与速度矢量相切。此外，流管内的体积流量为定值，所有流线也皆位于流管表面上。斯托克斯流函数对应的速度场为螺线矢量场（散度为零）。该流函数因纪念著名流体力学家乔治·斯托克斯得名。 (zh)
- Die Stokes’sche Stromfunktion (Formelzeichen , Dimension L³ T−1) von George Gabriel Stokes ist in der Strömungsmechanik ein analytisches Hilfsmittel zur Lösung der Euler-Gleichungen in drei dimensionalen, axialsymmetrischen, stationären Strömungen inkompressibler, reibungsfreier Fluide. Die Stokes’sche Stromfunktion ist also die Anwendung des Konzepts der Stromfunktion auf axialsymmetrische Strömungen, die dann auch analoge Eigenschaften besitzen. Aus Ableitungen der Stokes’schen Stromfunktion ergibt sich das Geschwindigkeitsfeld, das automatisch divergenzfrei und die Strömung mithin volumenerhaltend und dichtebeständig ist. Die Höhenlinien der Stokes’schen Stromfunktion stellen wie im ebenen Fall Stromlinien dar, die hier wegen der Axialsymmetrie Stromröhren beranden. Wie im ebenen Fal (de)
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| - Die Stokes’sche Stromfunktion (Formelzeichen , Dimension L³ T−1) von George Gabriel Stokes ist in der Strömungsmechanik ein analytisches Hilfsmittel zur Lösung der Euler-Gleichungen in drei dimensionalen, axialsymmetrischen, stationären Strömungen inkompressibler, reibungsfreier Fluide. Die Stokes’sche Stromfunktion ist also die Anwendung des Konzepts der Stromfunktion auf axialsymmetrische Strömungen, die dann auch analoge Eigenschaften besitzen. Aus Ableitungen der Stokes’schen Stromfunktion ergibt sich das Geschwindigkeitsfeld, das automatisch divergenzfrei und die Strömung mithin volumenerhaltend und dichtebeständig ist. Die Höhenlinien der Stokes’schen Stromfunktion stellen wie im ebenen Fall Stromlinien dar, die hier wegen der Axialsymmetrie Stromröhren beranden. Wie im ebenen Fall ist der Volumenstrom zwischen zwei Stromlinien – im von ihnen berandeten Stromröhrenring – überall gleich. (de)
- In fluid dynamics, the Stokes stream function is used to describe the streamlines and flow velocity in a three-dimensional incompressible flow with axisymmetry. A surface with a constant value of the Stokes stream function encloses a streamtube, everywhere tangential to the flow velocity vectors. Further, the volume flux within this streamtube is constant, and all the streamlines of the flow are located on this surface. The velocity field associated with the Stokes stream function is solenoidal—it has zero divergence. This stream function is named in honor of George Gabriel Stokes. (en)
- 스톡스 스트림 함수(Stokes stream function)는 선대칭인 비압축성 흐름을 갖는 3차원에서의 유선(流線)과 유속(流速)을 표현하는데 사용된다. 상수값을 갖는 Stokes stream function의 표면은 유관(流管)을 에워싸는데, 이 유관(流管)의 모든 면은 유속벡터와 정접(正接)한다. 더 나아가, 유관(流管) 내부의 체적유량(體積流量)은 상수이고, 이 흐름의 모든 유선(流線)은 유관(流管)의 표면에 위치한다. Stokes stream function과 관련된 (速度場)은 관상(管狀)이다—발산값이 0이다. 이 stream은 George Gabriel Stokes의 이름을 따서 붙여졌다. (ko)
- 斯托克斯流函数（英語：Stokes stream function）在流体力学中用于描述轴对称的三维不可压缩流体的与流速。斯托克斯流函数的等值面形成流管，其上的每一点都与速度矢量相切。此外，流管内的体积流量为定值，所有流线也皆位于流管表面上。斯托克斯流函数对应的速度场为螺线矢量场（散度为零）。该流函数因纪念著名流体力学家乔治·斯托克斯得名。 (zh)
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