Problem 5.19 - Problem 5.19 Given: Find: Solution:...

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Problem 5.19 [Difficulty: 2] Given: The list of velocity fields provided above Find: Which of these fields possibly represent incompressible flow Solution: We will check these flow fields against the continuity equation    0 1 1 t V z V r V r r r z r Governing Equations: (Continuity equation) Assumptions: (1) Incompressible flow ( ρ is constant) (2) Two dimensional flow (velocity is not a function of z) Based on the two assumptions listed above, the continuity equation reduces to: r rV r  θ V θ 0 This is the criterion against which we will check all of the flow fields. a) V r r θ t () K r V θ r θ t () 0 r rV r r θ t ()  0 θ V θ r θ t () 0 Hence r rV r  θ V
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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