Question

Consider fully developed laminar flow in the annulus between two concentric pipes. The outer pipe is stationary, and the inner pipe moves in the x direction with speed V. Assume the axial pressure gradient is zero ( ∂p/∂x = 0). (a) Obtain a general expression for the shear stress, τ, as a function of the radius, r, in terms of a constant, C1. (b) Obtain a general expression for the velocity profile, u(r), in terms of two constants, C1 and C2. Obtain expressions for (c) C1 and (d) C2. Note: Use boundary conditions: at r = ri u = V0 and at r = ro u = 0.

Answer 1

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