Abstract
Exact numerical solutions of the problem are obtained for a compressible viscous heat-conducting gas flowing over a slightly wavy surface. The effect of the free-stream parameters on the stresses, the temperature fields and the heat fluxes at the wavy interface is studied in detail.
Similar content being viewed by others
Literature cited
M. J. Lighthill, “Reflection at a laminar boundary layer of a weak steady disturbance to a supersonic stream neglecting velocity and heat conduction,” Q. J. Mech. Appl. Math.,3, 303 (1950).
M. J. Lighthill, “On boundary layers and upstream influence II. Supersonic flows without separation,” Proc. R. Soc. 217, 478 (1953).
G. R. Inger, “Compressible boundary layer flow past a swept wavy wall with heat transfer and ablation,” Astronaut. Acta,16, 325 (1971).
G. R. Inger and E. P. Williams, “Subsonic and supersonic boundary-layer flow past a wavy wall,” AIAA J.,10, 636 (1972).
G. L. Bordner, A. H. Nayfeh, and W. S. Saric, “Stability of liquid films adjacent to compressible streams,” ZAMP,26, 771 (1975).
H. W. Stock, “Das Druckstörungsfeld im Uberschall längs einer schwach welligen Wand unter Berücksichtigung der Grenzschicht,” ZAMM,57, 471 (1977).
T. B. Benjamin, “Shearing flow over a wavy boundary,” J. Fluid Mech.,6, 161 (1959).
N. C. Markatos, “Heat, mass and momentum transfer across a wavy boundary,” Comp. Meths. Appl. Mech. Eng.,14, 323 (1978).
G. L. Bordner, “Nonlinear analysis of laminar boundary layer flow over a periodic wavy surface,” Phys. Fluids,21, 1471 (1978).
G. L. Bordner, “Nonlinear analysis of laminar boundary layer flow over a periodic wavy surface. Pt. II. Long waves,” Phys. Fluids,23, 858 (1980).
V. Ya. Shkadov and Z. D. Zapryanov, Viscous Fluid Flow [in Russian], published by Moscow State University (1984).
L. G. Loitsyanskii and Yu. V. Lapin, “Use of the Karman method to calculate the turbulent boundary layer on a plate in a gas flow,” Tr. LPI, No. 217, 7 (1961).
V. A. Sapozhnikov, “Solution of the eigenvalue problem for ordinary differential equations by the sweep method,” in: Proceedings of the All-Union Seminar on Numerical Methods in Fluid Mechanics (II) [in Russian], Nauka, Novosibirsk (1969), p. 212.
Chan Van Chan and V. Ya. Shkadov, “Instability of a layer of viscous fluid in the presence of a gas boundary flow,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 28 (1979).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 15–22, November–December, 1988.
Rights and permissions
About this article
Cite this article
Demekhin, E.A., Shkadov, V.Y. Supersonic gas flow over a wavy surface. Fluid Dyn 23, 811–818 (1988). https://doi.org/10.1007/BF01051813
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01051813