Abstract
At the present time, there are a number of works in the literature that treat unsteady hypersonic flows in the Newtonian approximation [1–4]. Since the angle of incidence of the shock wave αs coincides in the zero-order approximation with the angle of inclination of the bodys [1], the latter is usually used in the boundary conditions on the shock. However, in the zero-order approximation αb can be used with the same justification. Both approaches are equally justified and give similar results for a steady flow. For unsteady flows the results can differ radically. It will be shown below that for an investigation of a flow over a fixed wedge with constant conditions in the free stream a steady-state pattern is obtained in the first case and a solution growing in time, in the second case.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
W. D. Hayes and R. F. Probstein, Hypersonic Flow Theory, Academic Press, New York (1959).
J. W. Miles, “Newtonian flow over a stationary body in unsteady flow,” AIAA J.4, No. 1 (1966).
V. I. Bogatko and G. A. Kolton, “Spatially unsteady motion of a gas in front of a strong Shockwave,” Vestn. Leningr. Univ., No. 1 (1971).
V. I. Bogatko and G. A. Kolton, “Newtonian approximation in the problem of the flow over axisymmetric bodies moving with variable velocity,” Vestn. Leniner. Univ., No. 7 (1971).
é. Kamke, Differentialgleichungen, Chelsea Publ. Corp., New York (1948).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 158–160, July–August, 1976.
Rights and permissions
About this article
Cite this article
Apshtein, é.Z., Gilinskii, M.M. Instability of a hypersonic flow over a wedge in the Newtonian approximation. Fluid Dyn 11, 632–634 (1976). https://doi.org/10.1007/BF01013018
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01013018