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Topic: Stream function from potential ..
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Posts: 9
Registered: 1/2/09
Stream function from potential ..
Posted: Jul 17, 2014 7:51 AM
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I have a velocity potential (the gradient of this function is the velocity field) given by :

phi(x,y) = 1/sqrt((y-1)^2 + x^2) + 1/sqrt((y+1)^2 + x^2) +
k x

where k = constant. I am interested in finding the orthogonal function psi(x,y) so that psi(x,y) = constant on a stream line. Another way to state this is to say : find a function psi(x,y) such that

psi_x = phi_y and psi_y = -phi_x

where the subscripts stand for partial derivatives.

Thanks for your help.


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