ME521_Lecture_29 - ME 521 Fall 2007 Professor John M....

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ME 521 Fall 2007 Professor John M. Cimbala Lecture 29 11/02/2007 Today, we will : Discuss propulsion of fish, birds, and sailboats Do C a n d y Q u e s t i o n s f o r C a n d y F r i d a y Begin a new major topic: Laminar Flow Solutions
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Nearly Incompressible Laminar Flow – Equations and Solution Technique Author: John M. Cimbala, Penn State University Latest revision: 31 October 2007 Assumptions and Approximations The fluid is Newtonian with constant properties ( μ , ν , k , α , κ , C P ). The flow is laminar rather than transitional or turbulent. The fluid is nearly incompressible – either an incompressible liquid or an ideal gas at very low Mach numbers . Differential Equations of Motion for Nearly Incompressible Flow (general review) Conservation of mass : 0 i i u x = . Momentum equation : 2 ii i i ji j ij j Du u u u p ρρ u ρ g μ Dt t x x x x ⎛⎞ ∂∂ =+ = + + ⎜⎟ ⎝⎠ .
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This note was uploaded on 07/23/2008 for the course ME 521 taught by Professor Cimbala during the Fall '07 term at Pennsylvania State University, University Park.

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ME521_Lecture_29 - ME 521 Fall 2007 Professor John M....

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