Use the case V(u,v)=(8−ax)i^+(4−b^2y)j^ to evaluate the magnitude of velocity and acceleration at a coordinate point (5,5) in terms of the constants a and b. State the acceleration vector. Under what conditions is this flow field satisfying the conservation of mass of an incompressible flow?

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A: The step by step solution is provided below.

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A: Given: Velocity fieldV→=0.5+0.8xi^+1.5-0.8yj^

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Q: [7] Given the following stress tensor in Cartesian coordinates: [2.74 -2.12 3.69 Sym (a) Find the…

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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.