Natural Convective Boundary-Layer on Two-Dimensional and Axisymmetric Surfaces in High-Pr Fluids or in Fluid-Saturated Porous Media

[+] Author and Article Information
R. H. Nilson

Fluid and Thermal Sciences Department, Sandia National Laboratories, Albuquerque, NM 87185

J. Heat Transfer 103(4), 803-807 (Nov 01, 1981) (5 pages) doi:10.1115/1.3244545 History: Received February 03, 1981; Online October 20, 2009


In natural convective boundary layers on inclined surfaces, the surface-normal component of the buoyancy force induces a pressure gradient across the boundary layer. For the class of flows in which inertial effects are unimportant (including flows at high Prandtl number as well as flow through fluid-saturated porous media), a local nonsimilarity analysis indicates that the effects of the surface-normal pressure gradient on the temperature profile can be characterized by a single local configuration-parameter which depends on the local geometry and on the Rayleigh Number. Under Mangler’s transformation the reported computational results become applicable to axisymmetric as well as two-dimensional geometries of arbitrary contour. In contrast to the single-parameter dependence of the temperature profiles, the velocity profiles depend upon two local geometric parameters, as illustrated for the example of an inclined flat plate.

Copyright © 1981 by ASME
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