Consider laminar flow of a Newtonian fluid ofviscosity m between two parallel plates. The flow is onedimensional,and the velocity profile is given as u(y) = 4umax[ y/h - (y/h)2], where y is the vertical coordinate from thebottom surface, h is the distance between the two plates,and umax is the maximum flow velocity that occurs at midplane.Develop a relation for the drag force exerted on bothplates by the fluid in the flow direction per unit area of theplates.

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Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.