Problem 5.61 - Problem 5.61 Given: Find: [Difficulty: 3]...

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Problem 5.61 [Difficulty: 3] Given: Steady, two-dimensional velocity field represented above Find:   2 , s m ˆ 0 ˆ 0 j i a local p Solution: We will apply the acceleration definition, and determine the streamline slope. t V z V w y V v x V u Dt V D a p Governing Equations: (Particle acceleration)  0 t w z v y u x (Continuity equation) Assumptions: (1) Two-dimensional flow (velocity is not a function of z) (2) Incompressible flow Based on the two assumptions listed above, the continuity equation reduces to: x u y v 0 This is the criterion against which we will check all of the flow fields. u 2 cos ω t () a x x u y v 2 cos ω t a a 0 This could be an incompressible flow field. v 2 cos ω t ay Streamlines along the x-y plane are defined by dy dx v u a y 2 cos ω t
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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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Problem 5.61 - Problem 5.61 Given: Find: [Difficulty: 3]...

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