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RESEARCH PAPERS

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

[+] Author and Article Information
J. C. Bhatia

University of Roorkee, Roorkee, U. P., India

J. Appl. Mech 41(3), 557-563 (Sep 01, 1974) (7 pages) doi:10.1115/1.3423348 History: Received April 01, 1973; Revised November 01, 1973; Online July 12, 2010

Abstract

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.

Copyright © 1974 by ASME
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