Abstract
The distributed injection of gas or of a combustible gas mixture from the walls of a plane or an axisymmetric channel into a stream of inert gas flowing through the channel is analyzed. This problem is solved using models of an ideal incompressible liquid and an ideal gas to describe the motion in the injected gas and in the oncoming stream. Integral equations are obtained in the approximation of “thin-layer” equations without allowance for transverse pressure gradients, for the pressure in the channel, and in the case of injection without heat release; these are solved analytically by methods of operational calculus, while in the case of combustion of the injected mixture they are solved numerically. This allows one to find the appropriate form of the contact surface separating the injection region from the oncoming stream, the position of the flame front, and the distribution of the gasdynamic parameters. It turns out that with allowance for the compressibility of the gas of the oncoming stream or of the injected gas the flow can exist only over a finite section of the channel.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 137–144, November–December, 1977.
The author is grateful to V. A. Levin for constant attention to the work and helpful comments.
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Vigdorovich, I.I. Gas flow in a channel in the presence of distributed injection of the gas or of a combustible gas mixture from its walls. Fluid Dyn 12, 928–934 (1977). https://doi.org/10.1007/BF01090331
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DOI: https://doi.org/10.1007/BF01090331