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Article Dans Une Revue Physics of Fluids Année : 1967

Simplified variational and physical analysis of heat transfer in laminar and turbulent flow

Résumé

The fundamental physical features of convective heat transfer for laminar and turbulent flow in ducts and boundary layers are brought out and analyzed quantitatively. A simplified variational method is used which is shown to be remarkably accurate by applying it to special cases where exact solutions are known. Results are expressed in nondimensional form by means of two universal trailing functions which embody the essential features of heat transfer for laminar and turbulent flow and are approximated by very simple piece‐wise analytic expressions. The results are applicable to nonparallel streamlines as encountered in duct entry and most boundary layers. This is achieved by introducing a new transformation which provides a suitable extension of the ``conduction analogy'' to these cases. Drastic simplifications are derived in the analysis of convective heat transfer. In particular it is shown how the trailing function is used in evaluating the heat transfer in heat exchangers and in the much more complex problem of transient heat conduction in a structure adjacent to a moving fluid. In the latter case it is pointed out how the use of the trailing function avoids serious errors in thermal stress analysis.
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Dates et versions

hal-01368608 , version 1 (21-09-2016)

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Maurice A. Biot. Simplified variational and physical analysis of heat transfer in laminar and turbulent flow. Physics of Fluids, 1967, 10 (7), pp.1424-1437. ⟨10.1063/1.1762302⟩. ⟨hal-01368608⟩
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