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Unformatted text preview: ME 521 Fall 2007 Professor John M. Cimbala Lecture 12 09/24/2007 Today, we will : Continue our discussion of the various forms of the energy equation Specifically, discuss deformation work, viscous dissipation, and the real energy equation From last lecture: Mechanical Energy Equation Nonconservative form: ( ) 1 2 ij i i i i i j D u u u g u Dt x = + Conservative form: ( ) ( ) 1 2 1 2 ij i i j i i i i i j j u u u u u u g u t x x + = + or ( ) ij j i i i j j E u E u g u t x x + = + where 2 1 2 mV is the kinetic energy (the conserved quantity), 1 2 i i E u u is the kinetic energy per unit volume, and 1 2 i i u u is the kinetic energy per unit mass. The terms on the right are sources (or sinks) of kinetic energy per unit volume. Equations for the Conservation of Energy Author: John M. Cimbala, Penn State University Latest revision: 20 September 2007 Mechanical Energy Equation Nonconservative form:...
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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.
 Fall '07
 CIMBALA
 Deformation

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