An incompressible viscous flow is contained between two parallel plates separated from each other by distance b. The flow is caused by the movement of the upper plate which has a velocity U, while the bottom plate is fixed. If U = 9.5 m/s and b = 3.2 cm, and there is no pressure gradient in the flow direction. a) Start with Navier-Stokes equations and determine the velocity at the point x = 7 cm and y= 0.56 cm. b) Calculate the magnitude of the vorticity at the same point. c) Calculate the rate of angular deformation at the same point. Work to 4 significant digits. Enter all values using base units or their combinations, i.e. m, m/s, Pa, N. Do not use multiples as e.g. mm, kPa. You can use values with exponents, such as 0.12e3.

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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.