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ME521_Lecture_39

ME521_Lecture_39 - x(nothing special about any particular x...

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ME 521 Fall 2007 Professor John M. Cimbala Lecture 39 12/03/2007 Today, we will : Briefly discuss Oseen’s improvement to Stokes equations Briefly discuss compressible Couette flow If time, begin discussing laminar boundary layers – the last topic of the semester

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E. Compressible Flows (Laminar) 1. Introduction 2. Example Compressible Couette Flow : Given : A Newtonian, but compressible fluid flows between two infinite parallel flat plates as sketched. The following assumptions/approximations are made: (1) All flow field variables and fluid properties are independent of

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Unformatted text preview: x (nothing special about any particular x location) (2) The flow is steady: ∂ (anything)/ ∂ t = 0 (3) The flow is two-dimensional: ∂ (anything)/ ∂ z = 0 and w = 0 (4) The flow is parallel ( v = 0 everywhere) (5) Neglect gravity (6) There is no imposed pressure gradient ( ∂ p / ∂ x = 0), therefore p = constant ( a ) To do : Calculate the x-component of velocity, u ( y ) and the temperature T ( y ). Solution : u = U e , T = T e , ρ = e , μ = e u ( y ) H x ( y ), ( y ), T ( y ) u = 0, T = T w , = w , = w y...
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ME521_Lecture_39 - x(nothing special about any particular x...

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