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Calculating streamlines from pressure field

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Old   March 30, 2019, 08:38
Default Calculating streamlines from pressure field
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I have a closed form expression for the pressure field of an axi-symmetric potential flow. I am struggling with how to calculate the stream lines of this flow.

I know that along a stream line, p/rho + v*v/2 = constant, where v is the velocity magnitude and gravity is neglected. But that does not seem to help much. Is there a simple way to calculate the velocity field from the given pressure field ?

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potential flow, streamlines

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