Blood flows down a vertical tube by gravity only. Solve the appropriate Navier-Stokes equations to find the velocity distribution vz(r) and compute the average velocity. The diameter of the tube is 10 mm. The density of blood is 1050 kg/m3 with a viscosity of 3.5 cP. Assume incompressible fluid. Assume steady and laminar flow. Average velocity= flow rate/ area. Required:
Derive a fluid-flow equation starting from the Navier-Stokes equation with cylindrical coordinates.