l1 - ME 608 Numerical Methods for Heat, Mass and Momentum...

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ME 608 Numerical Methods for Heat, Mass and Momentum Transfer Jayathi Y. Murthy Professor, School of Mechanical Engineering Purdue University jmurthy@ecn.purdue.edu Spring 2011 1
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ME 608 Lecture 1: Introduction to ME 608 Conservation Equations 2
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Outline of Lecture Course organization Introduction to CFD Examples of conservation equations General scalar transport equation 3
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Motivation Huge variety of industrial flows: Rotating machinery Compressible/incompressible aerodynamics Manifolds, piping Extrusion, mixing •Reacting flows, combustion …. Impossible to solve Navier-Stokes equations analytically for these applications! 4
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History Earliest “CFD” work by L.F. Richardson (1910) » Used human computers » Iterative solutions of Laplace’s eqn using finite-difference methods, flow over cylinder etc. » Error estimates, extrapolation to zero error “So far I have paid piece rates for the operation (Laplacian) of about n/18 pence per coordinate point, n being the
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This note was uploaded on 12/29/2011 for the course ME 608 taught by Professor Na during the Fall '10 term at Purdue University-West Lafayette.

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l1 - ME 608 Numerical Methods for Heat, Mass and Momentum...

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