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Incompressible Flow Past a Wing-Body Combination Using General Curvilinear Coordinates

Published online by Cambridge University Press:  07 June 2016

J.C. Murray
J.C. Murray*
Affiliation:
Department of Mathematical Sciences, University of Petroleum and Minerals Dhahran, Saudi Arabia
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Summary

It is shown, by the successive application of coordinate transformations involving complex analytic functions, how a general curvilinear coordinate system can be constructed which is suitable for geometries consisting of a finite surface together with two semi-infinite cylinders. A typical example of such a geometry is considered which comprises a wing-body combination in which two semi-infinite unswept wings are attached to a finite body. The potential problem associated with non-lifting incompressible flow past the wing-body combination is formulated in the general curvilinear coordinate system and is solved numerically. The distribution of the pressure coefficient over the wing-body surface is presented.

Type
Research Article
Information
Aeronautical Quarterly , Volume 30 , Issue 3 , August 1979 , pp. 451 - 470
Copyright
Copyright © Royal Aeronautical Society. 1979

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References

1 Mangier, K.W., and Systems of Coordinates Suitable for the Murray, J.C. Numerical Calculation of Three-Dimensional Flow Fields. A.R.C. Current Paper 1325, 1975.Google Scholar
2 Clapworthy, G.J., Subcritical Flow Without Circulation Past a Swept Semi-Infinite Elliptic Cylinder. Aeronautical Quarterly, 28, 142, 1977.Google Scholar