Thread: Fluid Dynamics

Hello, guys. I hope that you can help me with this problem. Here it is below. Thanks for the help.

Show that the voricity (w) for the isentropic flow satisfies

Dw/Dt = u(w . del)u.

vorticity =
u is a vector , and del operator is the upside down triangle. the dot represents the dot product between the two.

I know that
Dw/Dt = dw/dt + (u . del)w partial of w with respect to t, dw/dt but how do i get the rest?

Originally Posted by Dream

Hello, guys. I hope that you can help me with this problem. Here it is below. Thanks for the help.

Show that the voricity (w) for the isentropic flow satisfies

Dw/Dt = u(w . del)u.

vorticity =
u is a vector , and del operator is the upside down triangle. the dot represents the dot product between the two.

I know that
Dw/Dt = dw/dt + (u . del)w partial of w with respect to t, dw/dt but how do i get the rest?

What equations are you starting with? Are they





and for isentropic flows?