3. The velocity components of a steady flow field are u = 2cxy and v = cia2 + x2 — y2] in Cartesian coordinates where a and c are constant quantities.
a) Is the flow incompressible or compressible? (3 points)
b) Is the flow irrotational or rotational? (3 points)
c) Find the velocity potential. (4 points)
4. Some velocity measurements in a three-dimensional incompressible flow field indicate that u = 6xy2 and v = —4y2z. There is some conflicting data for the velocity component in the z direction. One set of data indicates that w = 4yz2 and the other set indicates that w = 4yz2 — 6y2z. Which set do you think is correct? Explain. (7 points)
