Approximate Solutions of the Unsteady Boundary-Layer Equations

[+] Author and Article Information
A. Bianchini, L. de Socio

Institute of Mathematics, University of Camerino, Camerino, Italy

A. Pozzi

Institute of Mathematics, Polytechnic of Naples, Naples, Italy

J. Appl. Mech 43(3), 396-398 (Sep 01, 1976) (3 pages) doi:10.1115/1.3423878 History: Received November 01, 1975; Revised February 01, 1976; Online July 12, 2010


An approximate integral method is proposed for solving the unsteady laminar boundary-layer equations. The essence of the method is to assume a similar solution for the velocity profile even in those situations where similar solutions do not exist, and then to find a suitable scale function for the similarity variable. The scale function is the solution to a simple first-order linear partial differential equation. This solution is determined in closed form. Satisfactory results were obtained in comparison with more sophisticated and time-consuming procedures.

Copyright © 1976 by ASME
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