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Fluid Dynamics Question about streamlines...help!?
If the velocity field, v, of a fluid depends on x and y, v(x,y) and we know there exists some function psi(x,y) such that
vx= partial w.r.t (y) of psi
vy = -(partial w.r.t (x) of psi)
show that the curves psi(x,y) = constant, are streamlines of the flow. (a streamline is a curve which is everywhere tangent to v)
If the velocity field, v, of a fluid depends on x and y, v(x,y) and we know there exists some function psi(x,y) such that
vx= partial w.r.t (y) of psi
vy = -(partial w.r.t (x) of psi)
show that the curves psi(x,y) = constant, are streamlines of the flow. (a streamline is a curve which is everywhere tangent to v)
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