Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-28T17:22:05.357Z Has data issue: false hasContentIssue false
  • English
  • Français

An Alternative Treatment of Boundary Conditions for the Flow over Thick Wings

Published online by Cambridge University Press:  07 June 2016

D Nixon
D Nixon*
Affiliation:
Queen Mary College, University of London
Get access

Summary

An alternative method of treating the boundary conditions for wing and body flow problems is developed and a detailed analysis for the flow around two-dimensional aerofoils is given. The basis of the method is the concept of an analytic continuation of the exterior flow to give a fictitious interior flow and a modified problem which can be solved using the ideas of thin-wing theory. The detailed analysis for flows described by the linear Prandtl-Glauert potential equation is given. The results obtained for several examples are satisfactory. The application of the theory to continuous and discontinuous transonic flows is outlined.

Type
Research Article
Information
Aeronautical Quarterly , Volume 28 , Issue 2 , May 1977 , pp. 90 - 96
Copyright
Copyright © Royal Aeronautical Society. 1977

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1 Hess, J L Smith, A M O Calculation of potential flow about arbitrary bodies. Progress in Aeronautical Science, Vol 8, Pergamon, 1967.Google Scholar
2 Roberts, A Rundle, K Calculation of incompressible flow about bodies and thick wings using the spline mode system. ARC 33775, 1972.Google Scholar
3 Riegels, F Das Umstronsungsproblem bei inkompressiblen Potentialstranungen. Ingenieur Archiv, Vol 16, pp 3 and 73; Vol 17, p 94, 1948.CrossRefGoogle Scholar
4 Van Dyke, M D Second-order subsonic airfoil theory including edge effects. NACA Report 1274, 1956.Google Scholar
5 Lighthill, M J A technique for rendering approximate solutions to physical problems uniformly valid. Philosophical Magazine (7), Vol 40, pp 1179–1201, 1949.Google Scholar
6 Van Dyke, M D Perturbation Methods in Fluid Mechanics. Academic Press, 1964.Google Scholar
7 Sells, C C L Iterative method for thick cambered wings in subcriticai flow. RAE Technical Report 74044, 1974.Google Scholar
8 Weber, J Second-order small perturbation theory for finite wings in incompressible flow. ARC R&M 3759, 1975.Google Scholar
9 Sells, C C L Rane subcriticai flow past a lifting aerofoil. Proc Roy Soc, Series A, Vol 308, pp 377–402, 1968.Google Scholar
10 Garabedian, P Korn, D Analysis of transonic airfoils. Communications in Pure and Applied Mathematics, Vol XXIV, pp 841–851, 1971.CrossRefGoogle Scholar
11 Murman, E Krupp, J A Computation of transonic flows past lifting airfoils and slender bodies. AIAA Journal, Vol 10, pp 880–886, 1972.Google Scholar
12 Nixon, D Calculation of transonic flows using an extended integral equation method. AIAA Paper 75-876, 1975.Google Scholar
13 Nonweiler, T R F The sonic flow about some symmetric half-bodies. Journal of Muid Mechanics, Vol 4, pp 140–148, 1958.Google Scholar
14 Carlson, L A Transonic airfoil analysis and design using Cartesian coordinates. Proceedings of the Second Computational Fluid Mechanics Conference, pp 175–183, AIAA, 1975.Google Scholar
15 Basu, B C Private communication.Google Scholar