Abstract
Many theoretical and experimental papers [1–4] have been devoted to investigating the turbulent boundary layer in the initial section of a channel. For the most part, however, the flow of an incompressible fluid with constant parameters is considered. There are many practical cases in which it is of interest to treat the development of the turbulent boundary layer of gas in the initial section of a pipe when conditions are strongly nonisothermal. A solution of a problem of this type, based on the theory of limit laws, is given in paper [1]. The present article extends this solution to the case of the flow of a high-enthalpy gas when the effect of gas dissociation on the turbulent boundary layer characteristics must be taken into account. We shall consider the flow of a mixture of i gases which is in a “frozen” state inside the boundary layer, and in an equilibrium state on its boundaries. Formulas are derived for the laws of friction and heat exchange, and a solution is given for the turbulent boundary layer equations in the initial section of the pipe when the wall temperature is constant and the gas flows at a subsonic velocity.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. S. Kutateladze and A. I. Leont'ev, The Turbulent Boundary Layer of a Compressible Gas [in Russian], Izd. SO AN SSSR, 1962.
Collection, Heat and Mass Transfer and Friction in a Turbulent Boundary Layer (ed. S. S. Kutateladze), Izd. SO AN SSSR, 1964.
N. M. Belyanin, “Experimental investigations of friction and heat transfer for gas flow in a pipe,” PMTF, no. 4, 1964.
Collection, Turbulent Flow and Heat Transfer (ed. Lin Chia Chiao) [Russian translation], Izd. inostr. lit., 1963.
Lobb, Winkler, and Persh, “Experimental investigations of turbulent boundary layers in a supersonic stream, “ VRT, no. 5, 1955. 6. Hill, “Investigations of the boundary layer in a hypersonic stream, “ VRT, no. 1, 1957.
A. I. Leont'ev and B. P. Mironov, “The extension of the limiting relative laws of friction and heat transfer to nonisothermal gas flow with finite Reynolds numbers,” PMTF [Journal of Applied Mechanics and Technical Physics], no. 5, 1965.
D. B. Spalding and S. W. Chi, “The drag of a compressible turbulent boundary layer on a smooth flat plate with and without heat transfer,“. Fluid Mech. 18, 1964.
Author information
Authors and Affiliations
Additional information
Finally the authors are grateful to S. S. Kutateladze for discussing the paper.
Rights and permissions
About this article
Cite this article
Leont'ev, A.I., Mironov, B.P. & Fafurin, A.V. The turbulent boundary layer of dissociated gas in the initial section of a tube. J Appl Mech Tech Phys 8, 67–70 (1967). https://doi.org/10.1007/BF00913247
Issue Date:
DOI: https://doi.org/10.1007/BF00913247