physics2112
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Homework Statement
PARTA:
Consider a fluid in which \rho = \rho(x,y,z,t); that is the density varies from point to point and with time. The velocity of this fluid at a point is
v= (dx/dt, dy/dt, dz/ dt)
Show that
dp/dt = \partialt\rho + v \cdot \nabla\rho
PARTB:
Combine the above equation with the equation of continuity and prove that
\rho\nabla\cdot v + d\rho /dt = 0
I have been attempting this problem for over a week. If anyone can solve this problem or help me out I would really appreciate it!
(Between the \nabla and v is a dot but I am not sure if it is showing up!)