Consider flow through an annulus between two concentric horizontal cylinders (Fig. H7.4). The flow is driven...

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Consider flow through an annulus between two concentric horizontal cylinders (Fig. H7.4). The flow is driven by the inner cylinder, of radius ri, which moves axially with constant velocity, V, while the outer cylinder, of radius ro, is stationary. The pressure is constant. The flow is steady, incompressible, fully developed, axisymmetric, and there is no swirl. Fluid density is p, and viscosity is constant. a. Determine the velocity distribution using continuity and Navier-Stokes equations. b. Determine the shear stress distribution. c. Sketch profiles of the velocity and shear stress. d. Evaluate the viscous shear force (per cylinder length) on the inner and outer cylinders (magni- tude and direction). se fluid M.P ro 100 V Consider flow through an annulus between two concentric horizontal cylinders (Fig. H7.4). The flow is driven by the inner cylinder, of radius ri, which moves axially with constant velocity, V, while the outer cylinder, of radius ro, is stationary. The pressure is constant. The flow is steady, incompressible, fully developed, axisymmetric, and there is no swirl. Fluid density is p, and viscosity is constant. a. Determine the velocity distribution using continuity and Navier-Stokes equations. b. Determine the shear stress distribution. c. Sketch profiles of the velocity and shear stress. d. Evaluate the viscous shear force (per cylinder length) on the inner and outer cylinders (magni- tude and direction). se fluid M.P ro 100 V