Question

*3: A fluid has absolute viscosity 0.0010 Ib-sec/ft^2 and specific gravity 0.913.Calculate the velocity gradient and the intensity of shear stress at the boundary and at points 1 in, 2

in, and 3 in from the boundary, assuming(a) a linear velocity distribution and (b) a parabolic velocity distribution. By referring to the figure and basic calculus prove that velocity can be written as v = 45 - 5(3 - y)^2 NOTE: The parabola in the sketch has its origin at B and its vertex at A (terminal velocity U=45 in/sec).

Fig: 1

Fig: 2