Question 2. In a particular fluid flow, the Eulerian velocity is given by u= (- x², 3xy, (3y - 1)xz)e¨v. - [Hint: You will need to use the Chain Rule; for instance др dp მs ds ar Show that this velocity u represents a flow of an incompressible fluid. Show also that, in this flow u, a density field of the form p= f(s), where s = x³ y, is constant for a material (i.e. fluid) particle, for any function ƒ(s). ar = Get solutions in as fas minutes .] Send question

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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.