Problem 5.22[Difficulty: 2]Given:Flow between parallel disks as shown. Velocity is purely tangential. No-slipcondition is satisfied, so velocity varies linearly with z.Find:An expression for the velocity fieldSolution:We will apply the continuity equation to this system.011tVzVrVrrrzrGoverningEquations:(Continuity equation)kVeVeVVzrrˆˆˆ(Velocity flow field)Assumptions:(1) Incompressible flow (ρis constant)(2) Purely tangential flow(3) Linear velocity variation with z0VBased on the first two assumptions, the continuity equation reduces to:
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