Calculating Stream Function of Incompressible Fluid from Velocity

Thread starter Asies
Start date Oct 26, 2010
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Fluid Function Incompressible Stream Velocity

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To calculate the stream function for an incompressible fluid given the velocity components \vec{v}=(vx, vy, 0), the derivatives of the stream function \phi are related to the velocity components through specific mathematical relationships. The stream function can be derived using the equations that relate the velocity field to the curl of the stream function. For a two-dimensional flow, the relationship typically involves partial derivatives of \phi with respect to the spatial coordinates. Understanding these relationships is crucial for accurately determining the stream function in fluid dynamics. Accurate calculations of the stream function are essential for analyzing flow patterns in incompressible fluids.

Oct 26, 2010

Asies

Hi everybody, I have been looking for a way to calculate the stream function if I know the velocity \vec{v}=(v_x,v_y,0) of a bidimentional flux.
From the formula given for \vec{v}, I know it is an incompressible fluid.

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Oct 27, 2010

arildno

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Well, the derivatives of the stream function \phi are generally related to the velocity components as...?

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