Recent content by adamabel

I did just recently find a derivation: http://www.allstar.fiu.edu/aero/Flow2.htm For now, I have only read the bit on the continuity equation, and I don't see why, if the fluid is incompressible, the density is constant in space and time. As for math: (though it might not matter if I did find...

I already knew that; I suppose I just didn't write it out clearly enough. But what was confusing me was how to solve for those. It seems like that is a system of PDEs, and I have no idea how to solve those.

So when a problem gives a vector field where it's divergence is zero, and it asks to find a vector field such that the curl of the vector field is the given vector field, I can just choose any vector field?

Thanks! At least now the left side makes sense. I don't know what a tensor is, but I do have an unread book on them. Maybe I should read it. A derivation of either the Euler or the Navier-Stokes equations would be fine (preferrably N-S). I do want to take into account friction, if this is...

No, I am just looking for a relatively simple derivation of the equations I gave, (or, alternatively, a derivation of the Euler equations). Or, if you could just describe what each term describes, mostly the (u\cdot\nabla)u term. It seems to me, that from Classical Mechanics, (thinking just...

I'm trying to find a simply derivation of the incompressible navier-stokes equations, as stated in the official problem description at the cmi website, or in "The Millenium Problems", by Keith Devlin: \frac{\partial u}{\partial t}+(u\cdot\nabla)u=f-\nabla p+\nu\Delta u \nabla\cdot u=0 I...

Homework Statement If the divergence of a vector field is zero, I know that that means that it is the curl of some vector. How do I find that vector? Homework Equations Just the equations for divergence and curl. In TeX: \nabla\cdot u=\frac{\partial u_x}{\partial x}+\frac{\partial...