Recent content by bakra904

so basically v. \nabla\psi = 0 which proves that v and \nabla\psi are perpendicular (since their dot product is 0) and so \psi must be tangent to v

Homework Statement Consider an ideal fluid large enough to experience its own gravitational attraction. If the fluid is initially at hydrostatic equilibrium with density \rho_{0} (r) and pressure p_{0}(r) , it can develop small amplitude pressure waves which may be analyzed as follows...

oh right...i overlooked that part. thanks!

Thanks a bunch! I'm a new poster and did not know about the effort rule...I had worked on it but did not post what I had worked on. I was trying to use the fact that if v = \nabla \times \psi, then that would imply that \psi is a stream function, which in cartesian co-ordinates would...

Proof: Everywhere Tangent to Curve?? If the function v 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 everywhere tangent to v.

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...