Question

4) An incompressible, Newtonian fluid falls between two vertical parallel plates due to gravity as shown in figure below. If you assume that the change of pressure in the y direction

is negligible and that the flow is laminar and fully developed, a) derive the velocity and shear stress profile b) draw the velocity and shear stress profile. Label the maximum velocity (Vmax), the minimum velocity (V), the shear stress of maximum magnitude (Tmax), and the shear stress of minimum magnitude (Tmin).