1. The hypodermic needle shown below contains a liquid serum (ρ = 1 g/cm3). If the serum is to be injected steadily at 6 cm3 /s, how fast should the plunger be advanced (a) if leakage in the plunger clearance is neglected and (b) if leakage is 10% of the needle flow?
2. Incompressible steady flow in the inlet between parallel plates is uniform, V0 = 8 cm/s, while downstream, the flow develops into the parabolic profile vx = az(z0 - z), where a is a constant. What is the maximum value of vx?
