An incompressible and Newtonian fluid is confined between two horizontal plates separated by a distance h. The top plate is moving on the right side with a velocity u1 and the bottom plate is moving in the left side with a velocity u2 (u1>u2). Find the velocity profile of the fluid by using NSE. Properly reduce the NSE and use appropriate boundary conditions. Ignore pressure drop.

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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.