An incompressible Newtonian fluid flows steadily between

Chapter 6, Problem 6.108

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An incompressible Newtonian fluid flows steadily between two infinitely long, concentric cylinders as shown in Fig. P6.108. The outer cylinder is fixed, but the inner cylinder moves with a longitudinal velocity \(V_0\) as shown. The pressure gradient in the axial direction is \(- \Delta p/ \ell\). For what value of \(V_0\) will the drag on the inner cylinder be zero? Assume that the flow is laminar, axisymmetric, and fully developed.

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