The flow between two horizontal infinite parallel plates is a two-dimension, steady-state, incompressible and fully- developed flow. The distance between the plates is h m. The bottom plate is stationary and the top plate velocity is U. m/s in the x-direction. The flow is driven by the top moving plate and there is, therefore, no pressure gradient in the direction of the flow. Velocity in the y-direction, v = 0. Note: Align the x-axis to the bottom wall. Use the x-momentum equation to show that the velocity profile equation is u(y) = ay + b and find the values of a and b. Use the energy equation to derive the temperature distribution Ty) for the flow if the surface temperature and temperature gradient on the bottom plate are both zero.

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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.