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An Accurate Calculation Method for Two-dimensional Incompressible Laminar Boundary Layers, Including Cases with Regions of Sharp Pressure Gradient

Published online by Cambridge University Press:  07 June 2016

N Curle
N Curle*
Affiliation:
University of St Andrews
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Summary

The paper develops and extends the calculation method of Stratford, for flows in which a Blasius type boundary layer reacts to a sharp unfavourable pressure gradient. Whereas even the more general of Stratford’s two formulae for predicting the position of boundary-layer separation is based primarily upon an interpolation between only three exact solutions of the boundary layer equations, the present proposals are based upon nine solutions covering a much wider range of conditions. Four of the solutions are for extremely sharp pressure gradients of the type studied by Stratford, and five are for more modest gradients. The method predicts the position of separation extremely accurately for each of these cases.

The method may also be used to predict the detailed distributions of skin friction, displacement thickness and momentum thickness, and does so both simply and accurately.

Type
Research Article
Information
Aeronautical Quarterly , Volume 28 , Issue 3 , August 1977 , pp. 149 - 162
Copyright
Copyright © Royal Aeronautical Society. 1977

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References

1 Stratford, B S Flow in the laminar boundary layer near separation. ARC R & M 3002, 1954.Google Scholar
2 Curle, N Development and separation of a laminar boundary layer, under the action of a very sharp constant adverse pressure gradient. Proc Roy Soc Edinburgh, Section A, Vol 74, p 119, 1976.Google Scholar
3 Curle, N Development of a laminar boundary layer under conditions of continuous incipient separation. Proc Roy Soc Edinburgh, Section A, Vol 76, p 55, 1976.Google Scholar
4 Howarth, L On the solution of the laminar boundary layer equations. Proc Roy Soc London, Series A, Vol 164, p 547, 1938.Google Scholar
5 Riley, N Stewartson, K Trailing edge flows. Journal of Fluid Mechanics, Vol 39, p 193, 1969.Google Scholar
6 Williams, P G Private communications, 1976.Google Scholar
7 Leigh, D C The laminar boundary-layer equation: a method of solution by means of an automatic computer. Proceedings, Cambridge Philosophical Society, Vol 51, p 320, 1955.Google Scholar
8 Illingworth, C R Steady flow in the laminar boundary layer of a gas. Proc Roy Soc London, Series A, Vol 199, p 533, 1949.Google Scholar
9 Stewartson, K Correlated incompressible and compressible boundary layers. Proc Roy Soc London, Series A, Vol 200, p 84, 1949.Google Scholar
10 Tani, I On the solution of the laminar boundary layer equations. Journal of the Physical Society of Japan, Vol 4, p 149, 1949.Google Scholar
11 Banks, W H H A three-dimensional boundary layer calculation. Journal of Fluid Mechanics, Vol 28, p 769, 1967.Google Scholar
12 Curle, N The estimation of laminar skin friction, including the effects of distributed suction. Aeronautical Quarterly, Vol XI, p 1, 1960.CrossRefGoogle Scholar
13 Goldstein, S On laminar boundary layer flow near a position of separation. Quarterly Journal of Mechanics and Applied Mathematics, Vol 1, p 43, 1948.Google Scholar