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Unformatted text preview: ENU 4133 Reynolds Transport (and leadup) January 20, 2010 Approaches (Scales) of Fluid Mechanic Analysis I Control volume analysis with general balance equations. Estimates gross parameters. (Chapter 3) I Differential analysis (viscosity, NavierStokes, turbulence modeling). Estimates spatially/temporallydetailed parameters. (Chapter 4) I Experimental/dimensional/empirical analysis. Can estimate either type of parameter, depending on data available. (Chapter 5) Each method is useful for different types of problems. Systems System vs. surroundings, boundaries. Mass: dm dt = 0 (1) Momentum: ~ F = m d ~ v dt (2) Energy: Q W = dE dt (3) Heat added to system, work done by system. State/Constituitive Relations p = p ( , T ) (4) = ( p , T ) (5) e = e ( p , T ) (6) Termed state relations in text and often in thermodynamics. The more general term is constitutive relations [which also covers things like htc = htc ( Re , Pr , k , D h )]. Control Volumes Some volume in space in which average parameters are calculated.Some volume in space in which average parameters are calculated....
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 Spring '11
 Schubring

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