Question

Navier-Stokes Equation:

RB RA

An incompressible Newtonian liquid is confined between two concentric cylinders of infinite length—a solid inner cylinder of radius RA and a hollow outer cylinder of radius RB. The inner cylinder rotates at angular velocity ω and the outer cylinder is stationary. The flow is steady, laminar, and two-dimensional in the r-θ plane. The flow is rotationally symmetric, meaning that nothing is a function of the coordinate θ. The flow is also circular so that ur=0 everywhere.

Found Uθ= Ra^2w/(Ra^2-Rb^2)*(r-[Rb^2/r])

a. Derive an expression for the wall shear stress on the inner rotating cylinder.

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Answer #1

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