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Problem 5.61

# Problem 5.61 - Problem 5.61 Given Find[Difficulty 3 Steady...

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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 ( ) ( ) ax x u y v 2 cos ω t ( ) ( ) a a ( ) 0 This could be an incompressible flow field.

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