Abstract
The effect of cooling of a permeable surface on the stability of a supersonic boundary layer on it is investigated. As distinct from the case of an impermeable surface, deep cooling can reduce the critical Reynolds number. Common points of the continuous and discrete spectra are found in the region of the disturbance parameters.
Similar content being viewed by others
Literature cited
C. C. Lin, The Theory of Hydrodynamic Stability, Cambridge (1955).
D. W. Dunn and C. C. Lin, “On the stability of the laminar boundary layer in a compressible fluid,” J. Aeronaut. Sci.,22, No. 7 (1955).
L. M. Mack, “Computation of the stability of the laminar compressible boundary layer,” in: Methods in Computational Physics, Vol. 4, Academic Press, New York-London (1965).
W. B. Brown, “Stability of compressible boundary layers,” AIAA J.,5, No. 10 (1967).
L. M. Mack, “Linear stability theory and the problem of supersonic boundary-layer transition,” AIAA J.,13, No. 3 (1975).
S. A. Gaponov and A. A. Maslov, “Stability of a compressible boundary layer at subsonic velocities,” Izv. Sibirsk. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk, Ser. 3, No. 1 (1971).
S. A. Gaponov and A. A. Maslov, “Numerical solution of the problem of complete stabilization of a supersonic boundary layer,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2 (1972).
A. A. Maslov, “Stability of a supersonic boundary layer with respect to three-dimensional disturbances,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1 (1974).
E. R. Van Driest, “Calculation of the stability of the laminar boundary layer in a compressible fluid on a flat plate with heat transfer,” J. Aeronaut. Sci.,19, No. 12 (1952).
S. A. Gaponov, “Effect of properties of a porous coating on boundary-layer stability,” Izv. Sibirsk. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk, Ser. 3, No. 1 (1971).
S. A. Gaponov, “Effect of compressibility of gas on stability of a boundary layer above a permeable surface at subsonic velocities,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1 (1975).
H. W. Burden, “Effect of wall porosity on the stability of parallel flows over compliant boundaries,” Bull. Am. Phys. Soc., Ser. 2,18, No. 11 (1973).
A. S. Dryzhov and A. A. Maslov, “Boundary conditions for temperature disturbances in problems of stability of compressible gas flows,” Izv. Sibirsk. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk, Ser. 8, No. 2 (1972).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 41–46, January–February, 1977.
The work was carried out at the Department of Applied Mathematics of the University of Western Ontario in Canada. I am grateful to the Head of the Department Professor J. Blackwell for suggesting the investigation of this problem.
Rights and permissions
About this article
Cite this article
Gaponov, S.A. Stability of a supersonic boundary layer on a permeable surface with heat transfer. Fluid Dyn 12, 33–38 (1977). https://doi.org/10.1007/BF01074621
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01074621