Problem 5.22 - Problem 5.22[Difficulty 2 Given Flow between...

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Problem 5.22 [Difficulty: 2] Given: Flow between parallel disks as shown. Velocity is purely tangential. No-slip condition is satisfied, so velocity varies linearly with z. Find: An expression for the velocity field Solution: We will apply the continuity equation to this system.  0 1 1 t V z V r V r r r z r Governing Equations: (Continuity equation) k V e V e V V z r r ˆ ˆ ˆ (Velocity flow field) Assumptions: (1) Incompressible flow ( ρ is constant) (2) Purely tangential flow (3) Linear velocity variation with z 0 V Based on the first two assumptions, the continuity equation reduces to:
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