A Newtonian fluid having a specific gravity of 0.95 and a kinematic viscosity of 4.2 x 10“m³/s flows past a fixed surface as shown in Figure la. The “no-slip" condition suggests that the velocity of the fluid at the fixed surface is zero. The fluid velocity profile away from the fixed surface is given by the equation below: и Зу 1 U-28 where U is the constant maximum velocity and its value is 2 m/s. Given that the shear stress developed at the fixed surface is 0.12 N/m², determine the thickness of the fluid, 8. U Figure la: Fluid velocity profile

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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.