8.18 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 that the axial pressure gradient is zero dp dx=0 . Obtain a general expression for the shear stress, τ, as a function of the radius, r, in terms of a constant, C₁. Obtain a general expression for the velocity profile, u r , in terms of two constants, C₁ and C₂. Obtain expressions for C₁ and C_2..

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P8.18