Question

Transport Phenomena/Mass Momentum Heat transfer problem

An incompressible, Newtonian fluid inside a tube flows downward due to gravity. The tube is oriented vertically, and moves upward with a constant velocity, V. There is no pressure gradient.

a). Identify an appropriate coordinate system to find the velocity profile in the tube.

b) Make assumptions and postulate the 3 velocity components for this problem.

c) Write down a component of the Navier-Stokes equation to find the velocity profile. SImplify to obtain a differential equation for the velocity. Make assumptions when eliminating terms and Find the Velocity Profile.

Answer 1