Water at 60 F is flowing in laminar flow between two stationary parallel plates spaced 2 inches apart. The centerline velocity (umax) is 10 in/s. Assume the velocity profile to be parabolic i.e.,:
u = a + by + cy^2
a) Taking the centerline as y = 0 inches, determine the value of the constants in the equation for the velocity profile.
b) What is the equation for the velocity gradient profile?
c) What is the value for the rate of shear at
i) y = 0 inches
ii) y = 0.5 inches
iii) y = 1 inch
d) What is the shear stress at y = 0.5 inches?