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High frequency properties in the unsteady linearised potential flow of a compressible fluid

Published online by Cambridge University Press:  04 July 2016

D. J. Salmond  and
F.T. Smith
D. J. Salmond
Affiliation:
Aerodynamics Department, Royal Aircraft Establishment, Farnborough, Hants
F.T. Smith
Affiliation:
Mathematics Department, Imperial College, London
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Summary

The unsteady planar flow of inviscid compressible fluid past an oscillating aerofoil is considered. Many recent computational studies have experienced difficulties in obtaining accurate, or any, results at medium or higher frequencies of oscillation. This may well be due to the emergence of multi-scaling and multi-regions according to the present analytical study which concentrates on the large frequency properties of the linearised flowfield. Multi-scaled dependence in the solution is found to occur in both the streamwise and transverse directions. Comparisons are made with computational results.

Type
Research Article
Information
The Aeronautical Journal , Volume 88 , Issue 878 , October 1984 , pp. 348 - 356
Copyright
Copyright © Royal Aeronautical Society 1984 

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References

1. Ballhaus, W. F. and Steger, J. L. Implicit approximate factorisation schemes for the low-frequency transonic equation, NASA TM-X-73,082 1975.Google Scholar
2. Couston, M., Angeline, J. and Mulak, P. Application de l'equation des petites perturbations transoniques aux calcules d'écoulements bidimensionnels instationnaires, La Recherche Aérospatiale, 1979,5,325–342.Google Scholar
3. Ehlers, F. E. A finite difference method for the solution of the transonic flow around harmonically oscillating wings, NASA CR-2257, 1974.Google Scholar
4. Isogai, K. Numerical study of transonic flutter of a two- dimensional airfoil, National Aerospace Laboratory, Japan, TR- 617T, 1980.Google Scholar
5. Isogai, K. Calculation of unsteady transonic flow over oscillating airfoils using the full potential equation, AIAA Conf. San Diego, California, March 1977.Google Scholar
6. Goorjian, P. M. Computations of unsteady transonic flow governed by the conservative full potential equations using an alternative direction implicit algorithm, NASA CR-152274.Google Scholar
7. Steger, J. L. and Caradonna, F. X. A conservative implicit finite-difference algorithm for the unsteady transonic full potential equation, NASA TM-81211,1981.Google Scholar
8. Chipman, R. and Jameson, A. An alternating-direction-implicit algorithm for unsteady potential flow, AIAA paper 81-0529, 1981.Google Scholar
9. Magnus, R. and Yoshihara, H. Inviscid transonic flow over airfoils, AIAA Journal, 1970,8,12,2157–2162.Google Scholar
10. Ishiguro, T. Finite difference calculation of an inviscid transonic flow over oscillating airfoils. National Aerospace Laboratory Japan, TR-623,1980.Google Scholar
11. Pulham, T. H. and Steger, J. L. Implicit finite difference simulations of three-dimensional compressible flow, AIAA Journal, 1980, 18,2, 159–167.Google Scholar
12. Sells, C. C. L. Solution of the Euler equations for transonic flow past a lifting aerofoil, RAE Technical Report, 80065, 1980.Google Scholar
13. Williams, Marc H. Solution of the unsteady subsonic thin airfoil problem. Q Jl Mech Appl Math, 1982. XXXV, Pt 3.Google Scholar
14. Martinez, R. and Widnall, S. E. Unified aerodynamic- acoustic theory for a thin rectangular wing encountering a gust. AIAAJ, 1980,18,636–645.Google Scholar
15. Salmond, Deborah J. Evaluation of two-dimensional subsonic oscillatory airforce coefficients and loading distributions, RAE Technical Report, TR 79096,1979.Google Scholar
16. Weatherill, W. H., Eulers, F. E., Yip, E. and Sebastian, J. D. Further investigation of a finite-difference procedure for analysing the transonic flow about harmonically oscillating airfoils and wings. NASA CR-3195, 1980.Google Scholar