ME521_Lecture_09 - ME 521 Fall 2007 Professor John M Cimbala Lecture 09 Today we will Derive the constitutive equation for a Newtonian fluid

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ME 521 Fall 2007 Professor John M. Cimbala Lecture 09 09/17/2007 Today, we will : Derive the constitutive equation for a Newtonian fluid Discuss the Navier-Stokes equation If time, begin some example problems Recall Cauchy’s equation of motion : ij i i j ii j j Du g Dt x uu u tx ρρ τ ∂∂ =+ + =
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Review : The integral and differential equations of mass conservation and linear momentum Conservation of Mass: Integral form : CV CS 0 ii du d A t ρ =+ ∫∫ v V Differential form : () 0 i i u tx ∂∂ += The Linear Momentum Equation: Integral form : i ij j i i j j u u d A g d d A t ρρ τ + vv VV Differential form : j i i j jj uu u g x + (conservative) i j j Du g Dt x ρτ (non-conservative) The Constitutive Equation for a Newtonian Fluid:
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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_09 - ME 521 Fall 2007 Professor John M Cimbala Lecture 09 Today we will Derive the constitutive equation for a Newtonian fluid

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