Question

A viscous fluid moves down an incline resulting in the velocity profile given below.
a. Determine the volumetric flowrate in terms of h, b (distance perpendicular to plane of paper) and Vo (surface velocity).
b. If the fluid is SAE 10W motor oil, determine the mass flowrate

b =0.3m
h = 0.005m
Uo = fluid velocity at top surface
Uo =0.2m/s
spec grav=0.87
density =870 kg/m3
c1 = 80
c2 = 8000