1. In cartesian coordinates, show that may be written What is the physical meaning of the term ? 2. In an incompressible flow, the volume of the fluid is constant. Using the continuity equation, 0,...

1. In cartesian coordinates, show that

may be written

What is the physical meaning of the term
?

2. In an incompressible flow, the volume of the fluid is constant. Using the continuity equation,


0, show that the fluid volume change is zero.

3. Find Dv/Dt in polar coordinates by taking the derivative of the velocity. (Hint:

Remember that the unit vectors have derivatives.)