Problem 5.49 - Problem 5.49[Difficulty 2 Incompressible...

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Problem 5.49 [Difficulty: 2] Given: Incompressible flow between parallel plates as shown Find: Therefore, the particle acceleration is: V r Q 2 π r h Solution: We will apply the conservation of mass and the definition of acceleration to the velocity.  0 1 1 t V z V V r rV r r z r Governing Equation: (Continuity Equation) t V V V Dt V D a p (Particle acceleration) Assumptions: (1) Incompressible flow ( ρ is constant) (2) One-dimensional flow (velocity not a function of θ or z) (3) Flow is only in the r-direction (4) Steady flow (velocity is not a function of t) Based on the above assumptions, the continuity equation reduces to: 1 r r rV r 0 or r C Thus:
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