1. Consider steady, incompressible viscous flow in an annulus, the region between concentric circular cylinders, where...

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1. Consider steady, incompressible viscous flow in an annulus, the region between concentric circular cylinders, where the velocity is only in the z-direction out of the page. Find the velocity distribution, u₂(r). Find the limits as the annulus becomes small (R₁ - R₂ small) and as R₂ approaches 0. Plot a suitable non-dimensional velocity versus r/R₁, for several values of R₂/R₁. R₂ r R₁ 2. Consider the unsteady and incompressible viscous flow in a circular pipe, under a time varying pressure gradient. Vp = k cos(wt) Find the velocity distribution, and the limits for small and large frequencies. 1. Consider steady, incompressible viscous flow in an annulus, the region between concentric circular cylinders, where the velocity is only in the z-direction out of the page. Find the velocity distribution, u₂(r). Find the limits as the annulus becomes small (R₁ - R₂ small) and as R₂ approaches 0. Plot a suitable non-dimensional velocity versus r/R₁, for several values of R₂/R₁. R₂ r R₁ 2. Consider the unsteady and incompressible viscous flow in a circular pipe, under a time varying pressure gradient. Vp = k cos(wt) Find the velocity distribution, and the limits for small and large frequencies.

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SOLUTION 1 Steady incompressible viscous flow in an annulus a Velocity distribution The velocity dis... View the full answer