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Triple-deck solutions for viscous supersonic and hypersonic flow past corners

Published online by Cambridge University Press:  19 April 2006

D. P. Rizzetta ,
O. R. Burggraf  and
Richard Jenson
D. P. Rizzetta
Affiliation:
Department of Aeronautical and Astronautical Engineering, The Ohio State University, Columbus, Ohio 43210 Present address: The Boeing Company, Seattle, Washington.
O. R. Burggraf
Affiliation:
Department of Aeronautical and Astronautical Engineering, The Ohio State University, Columbus, Ohio 43210
Richard Jenson
Affiliation:
Department of Aeronautical and Astronautical Engineering, The Ohio State University, Columbus, Ohio 43210 Present address: Department of Aerospace Engineering, Texas A & M University, College Station, Texas 77840.
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Abstract

A viscous-inviscid interaction is produced when a compressible laminar boundary layer encounters a corner. The correct mathematical structure for such interactions at large Reynolds number is given by the asymptotic triple-deck theory. In the present work the triple-deck equations for supersonic and hypersonic flows are solved for both compression and expansion corners. Results are presented for a range of corner angles, including separated cases, and are compared with experimental data and with finite Reynolds number calculations based on an interacting boundary-layer model.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 89 , Issue 3 , 13 December 1978 , pp. 535 - 552
Copyright
© 1978 Cambridge University Press

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References

Brown, S. N. Stewartson, K. & WILLIAMS, P. G. 1975 Phys. Fluids 18, 633.
Brown, S. N. & Williams, P. G. 1975 J. Inst. Math. Appl. 16, 175.
Burggraf, O. R. 1975 AGARD Current Paper no. 168.
Burggraf, O. R., Rizzetta, D. P., Werle, M. J. & Vatsa, V. N. 1978 To be published.
Carter, J. E. 1971 Ph.D. dissertation, Virginia Polytechnic Institute and State University.
Chapman, D. R., Kuehn, D. M. & Larsen, H. K. 1958 N.A.C.A. Rep. no. 1356.
Crocco, L. & Lees, L. 1952 J. Aero. Soc. 19, 33.
Goldstein, S. 1930 Proc. Camb. Phil. Soc. 26, 1.
Jenson, R. 1977 Ph.D. dissertation, The Ohio State University.
Jenson, R. Burggraf, O. R. & RIZZETTA, D. P. 1975 Proc. 4th Int. Conf. Numer. Meth. Fluid Mech., Lecture Notes in Phys. 35, 218.
Lees, L. & Reeves, B. L. 1964 A.I.A.A. J. 3, 303.
Lewis, J. E., Kubota, T. & Lees, L. 1968 A.I.A.A. J. 6, 7.
Lighthill, M. J. 1950 Quart. J. Mech. Appl. Math. 3, 303.
Lighthill, M. J. 1953 Proc. Soc. Roy. A 217, 478.
Messiter, A. F. 1970 SIAM J. Appl. Math. 18, 241
Neiland, V. Y. 1969 Mekh. Zh. i. Gaza 4, 40.
Neiland, V. Y. 1970 Izv. Akad. Nauk SSSR 3, 19.
Rizzetta, D. P. 1976 Ph.D. dissertation, The Ohio State University.
Rosenhead, L. (ed.) 1963 Laminar Boundary Layers, Oxford: Clarendon Press.
Smith, F. T. & Stewartson, K. 1973 Proc. Roy. Soc. A 332, 1.
Stewartson, K. 1970a Quart. J. Mech. Appl. Math. 23, 137.
Stewartson, K. 1970b Proc. Roy. Soc. A 319, 289.
Stewartson, K. 1974 Adv. Appl. Math. 14, 145.
Stewartson, K. & Williams, P. G. 1969 Proc. Roy. Soc. A 312, 181.
Werle, M. J. & Vatsa, V. N. 1973 Aerospace Res. Labs. (USAF) Rep. ARL-73-0162.
Werle, M. J. & Vatsa, V. N. 1974 A.I.A.A. J. 12, 1491.
Williams, P. G. 1975 Proc. 4th Int. Conf. Numer. Meth. Fluid Mech., Lectures Notes in Phys. 35, 445.