Computation of Two-Dimensional and Axisymmetric Steady Laminar Boundary Layers by Quadrature

Based on momentum and energy integral equations of the boundary layer an approximate method is developed for computing two-dimensional and axisymmetric steady laminar flows. Simple quadrature formulas have been obtained to determine energy thickness and a shape parameter. Various characteristics of...

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Bibliographic Details
Published in:Journal of applied mechanics 1974-09, Vol.41 (3), p.557-563
Main Author: Bhatia, J. C
Format: Article
Language:English
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Summary:Based on momentum and energy integral equations of the boundary layer an approximate method is developed for computing two-dimensional and axisymmetric steady laminar flows. Simple quadrature formulas have been obtained to determine energy thickness and a shape parameter. Various characteristics of the boundary layer, e.g., different thicknesses, shearing stress at the wall, position of separation, etc., for Howarth and Tani flows, flow past a circular cylinder, a sphere, and a spheroid for various thickness ratios are computed. A comparison with other known solutions indicates that the present quadrature formulas yield closer approximation than do most other approximate methods. A few results for the compressible case (adiabatic wall) have also been presented.
ISSN:0021-8936
1528-9036
DOI:10.1115/1.3423348