Question

Consider the steady laminar flow between the coaxial cylinders shown below. The inner cylinder rotates with angular velocity Omega and the outer cylinder is stationary. The no-slip condition applies at the inner and outer cylinder surfaces and we are considering the cylinders to be very long in the z-direction, hence we may ignore edge effects near the top and bottom surfaces.

a) What are the boundary conditions on the cylinder surfaces at r=R1 , and r= R2

b) Simplify and solve the continuity equation for Vr

c) Assume that gravity is negligible and simplify the momentum

d) Solve for V theta

e) Determine the pressure gradient

Answer 1

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