An incompressible Newtonian fluid flows steadily between two infinitely long, concentric cylinders as shown in Fig. P6.96. 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.

Figure P6.96

Transcribed Image Text:

Fixed wall Vo