Abstract
The flow in the boundary layer in the vicinity of the stagnation point of a flat plate is examined. The outer stream consists of turbulent flow of the jet type, directed normally to the plate. Assumptions concerning the connection between the pulsations in velocity and temperature in the boundary layer and the average parameters chosen on the basis of experimental data made it possible to obtain an isomorphic solution of the boundary layer equations. Equations are obtained for the friction and heat transfer at the wall in the region of gradient flow taking into account the effect of the turbulence of the impinging stream. It is shown that the friction at the wall is insensitive to the turbulence of the impinging stream, while the heat transfer is significantly increased with an increase in the pulsations of the outer flow. These properties are confirmed by the results of experimental studies [1–4].
Similar content being viewed by others
Literature cited
I. P. Ginzburg, I. A. Belov, V. A. Zazimko, and V. S. Terpigor'ev, “Problem of the effect of turbulence characteristics on heat exchange of a supersonic jet with a flat barrier,” in: Heat and Mass Transfer [in Russian], Vol. 1, Énergiya, Minsk (1968).
I. A. Belov, G. F. Gorshkov, V. S. Komarov, and V. S. Terpigor'ev, “Experimental study of heat exchange of a subsonic jet with a normally located flat barrier,” Inzh.-Fiz. Zh.,20 (1971).
P. M. Brdlik and V. K. Savin, “Heat exchange in the vicinity of the critical point during axially symmetrical streamline flow around a flat surface located normal to the stream,” Inzh.-Fiz. Zh.,10, No. 4 (1966).
E. H. Comfort, T. J. O'Connor, and L. A. Cass, “Heat transfer resulting from the normal impingement of a turbulent high temperature jet on an infinitely large flat plate,” Proceedings of Heat Transfer and Fluid Mechanics Institute, Santa Clara, Calif. Univ. Press, Stanford, Calif. (1966).
I. A. Belov, G. F. Gorshkov, V. S. Komarov, and V. S. Terpigor'ev, “Experimental study of gas dynamic parameters during streamline flow around a barrier,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 2, (1971).
G. Schlichting, Boundary Layer Theory [Russian translation], Izd-vo Inostr. Lit., Moscow (1956).
S. S. Kutateladze, Boundary Turbulence [in Russian], Novosibirsk (1970), Part 1.
S. V. Patankar and D. B. Spalding, Heat and Mass Transfer in Boundary Layers [Russian translation], Énergiya, Moscow (1971).
M. C. Smith and A. M. Kuethe, “Effects of turbulence on laminar skin friction and heat transfer,” Phys. Fluids,9, No. 12 (1966).
I. A. Belov and V. S. Terpigor'ev, “Allowance for turbulence in calculating heat exchange at the stagnation point of a jet interacting normally with a flat barrier,” Inzh.-Fiz. Zh.,17, No. 6 (1969).
W. Brady and G. Ludwig, “Theoretical and experimental studies of impinging uniform jets,” J. Amer. Helicopter Soc.,8, No. 2 (1963).
M. Sibulkin, “Heat transfer near the front critical point of a body of rotation,” Mechanics. Collection of Translations and Reviews of Foreign Literature [in Russian], No. 3 (1953).
Author information
Authors and Affiliations
Additional information
Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 83–87, September–October, 1973.
Rights and permissions
About this article
Cite this article
Terpigor'ev, V.S. Boundary layer in the vicinity of the stagnation point of a body of axial symmetry in a turbulent stream. J Appl Mech Tech Phys 14, 670–674 (1973). https://doi.org/10.1007/BF00856880
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00856880