Use of a Transcendental Approximation in Laminar Boundary Layer Analysis
- 1 June 1965
- journal article
- Published by SAGE Publications in Journal of Mechanical Engineering Science
- Vol. 7 (2) , 131-137
- https://doi.org/10.1243/jmes_jour_1965_007_021_02
Abstract
The usefulness of an approximate boundary layer velocity profile which is an exponential function of an exponential function is examined. The momentum and energy integral equations for two-dimensional incompressible boundary layers are used to determine the parameters of the assumed profile for the classic example of wedge flows. The integrals involved are reduced to the exponential integral, which can be evaluated from existing tables. Comparison of the wall shear stress with Hartree's solution is remarkably good except near separation, and the agreement of the minimum critical Reynolds number with comparable results based upon Hartree's profiles is also very good. The profile function described here can be applied to further examples.Keywords
This publication has 3 references indexed in Scilit:
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- Further solutions of the Falkner-Skan equationMathematical Proceedings of the Cambridge Philosophical Society, 1954
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