Second Order Boundary Layer Solutions on a Curved Surface

[+] Author and Article Information
W. F. Van Tassell

Aeronautical and Astronautical Engineering Department, University of Illinois, Urbana, Ill.

D. B. Taulbee

Department of Engineering Science, State University of New York at Buffalo, Buffalo, N. Y.

J. Basic Eng 94(3), 649-654 (Sep 01, 1972) (6 pages) doi:10.1115/1.3425521 History: Received December 20, 1971; Online October 27, 2010


Solutions of the second order longitudinal curvature boundary layer equations near the stagnation point of a two-dimensional circular cylinder are presented. Four cases corresponding to 1 first order locally similar solutions, 2 first order nonsimilar solutions, 3 second order locally similar solutions, and 4 second order nonsimilar solutions are considered. For each of the four cases, results for four different altitudes are given. The only second order effect considered is longitudinal curvature. Based on the numerical results, it is concluded that similarity and curvature assumptions can alter the skin friction calculations significantly. The heat transfer calculations are much less sensitive to the various assumptions, at least for the cases studied in this paper.

Copyright © 1972 by ASME
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