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Reynolds_Transport_web

# Reynolds_Transport_web - ENU 4133 Reynolds Transport(and...

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ENU 4133 – Reynolds Transport (and lead-up) January 19, 2011

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Approaches (Scales) of Fluid Mechanic Analysis I Control volume analysis with general balance equations. Estimates gross parameters. (Chapter 3) I Differential analysis (viscosity, Navier-Stokes, turbulence modeling). Estimates spatially/temporally-detailed 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.

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State/Constituitive Relations p = p ( ρ, T ) (4) ρ = ρ ( 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.

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Reynolds_Transport_web - ENU 4133 Reynolds Transport(and...

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