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ISSN Online: 2377-424X

ISBN Print: 0-89116-559-2

International Heat Transfer Conference 8
August, 17-22, 1986, San Francisco, USA

A REGULAR PERTURBATION THEORY FOR VARIABLE PROPERTIES APPLIED TO COMPRESSIBLE BOUNDARY LAYERS

Get access (open in a dialog) DOI: 10.1615/IHTC8.570
pages 1095-1101

Résumé

A regular perturbation approach is applied to take into account variable property effects. Of special interest is the effect of the pressure dependent density. In the framework of an asymptotic theory compressibility effects are considered as variable property effects. By means of this asymptotic theory the deviation of skin friction and heat transfer results from their incompressible isothermal values are determined for laminar Falkner Skan boundary layers. Based on these results well known empirical methods to account for variable property effects can be understood as theoretical methods. As far as laminar flow is concerned there is no need for any empirical information.
The application of this method to turbulent flow is discussed for the fully developed pipe flow. By means of a singular perturbation approach for large Reynolds numbers the problem of turbulence modelling can be reduced to a few unknown constants which must be determined from experiments.