First-Order Perturbations of Laminar Free-Convection Boundary Layers on a Vertical Plate

[+] Author and Article Information
Kwang-Tzu Yang

Department of Mechanical Engineering, University of Notre Dame

Edward W. Jerger

Department of Mechanical Engineering, University of Notre Dame, Notre Dame, Ind.

J. Heat Transfer 86(1), 107-114 (Feb 01, 1964) (8 pages) doi:10.1115/1.3687041 History: Received August 07, 1962


A perturbation analysis for laminar free convection along a vertical plate, utilizing the classical boundary-layer solution as the zeroth-order approximation, is presented. First-order perturbations for the velocity and temperature fields have been calculated in detail for Prandtl numbers of 0.72 and 10.0. The propagation of leading-edge singularity into the first-order perturbations is examined and discussed. Good agreement is found between the present solution and experimental data.

Copyright © 1964 by ASME
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