As part of your job in your professors lab you must deliver cells in media through a syringe as part of a new cell therapy for cardiovascular disease treatment. The cells in solution must be delivered at a constant rate of 2.3 mL in 45 seconds as to not kill the cells by exposing them to excessive shear stress.

a. Assuming an incompressible fluid, what is the flow rate (Q in m3/s) and velocity (in m/sec) of the fluid leaving the syringe tip (at the end of the needle)? What plunger velocity is required to maintain this flow rate? (10 pts)

b. Suppose someone else in your lab uses the last 16 Gauge needle. You must now use the only other needle diameter available, 20 Gauge. What flow rate (Q in m3/s) and plunger velocity (in m/sec) must you now use to assure that the cells will not be harmed during delivery? (10 pts)