Consider laminar flow of a Newtonian fluid of viscosity μ between two parallel plates. The flow is one-dimensional, and the velocity profile is given as u(y) = 4u_max[y/h - (y/h)²], where y is the vertical coordinate from the bottom surface, h is the distance between the two plates, and u_maxis the maximum flow velocity that occurs at midplane. Develop a relation for the drag force exerted on both plates by the fluid in the flow direction per unit area of the plates.

Transcribed Image Text:

uly) = 4umaxl y/h – (y/h)2] Umax y