Beginning with the appropriate form of the Navier-Stokes Equations, please derive an expression for the velocity of a Newtonian fluid flowing through a vertical pipe with a radius of R. The tube is moving up with a velocity of Vo. Assume steady, incompressible, fully developed, parabolic flow and that the fluid is not open to the atmosphere. What is the initial velocity equation you derive before applying the boundary conditions

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explanation:

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we need to know the time interval during which the force acts. impulse of force = momentum change