onsider a cylindrical flow rate sensor inserted into a blood flow, as shown in schematic below. (Assumptions) i) There is only one non-zero velocity component in the direction of flow. ii) Gravity acts vertically downward. iii) The velocity of fluid along flow direction is independent of the angular location. iv) Steady and incompressible flow. v) Newtonian fluid flow a) What are the boundary conditions for this system? (5 pts) b) Evaluate velocity difference of blood between the inlet and exit using mass balance equation. (5 pts) c) Describe the velocity profile of fluid (vz) in a channel between sensor surface and blood vessel wall. (15 pts) d) Assume the pressure drop (P3P2) is 150dyne/cm2,L is 25cm, and the viscosity of blood is 0.03 dyne*s /cm2,r1=4mm,r2=5mm. What is the velocity in the z direction at the halfway point between the two walls (r=4.5mm) ? (10 pts) e) Calculate the flux of the fluid through the system. (15 pts)