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Solution of the direct problem of the flow of a two-phase mixture of a gas and foreign solid or liquid particles in a laval nozzle

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Within the framework of a two-liquid (two-velocity and two-temperature) model of a continuous medium, the article considers the flow of a mixture of a gas and foreign particles in the subsonic, transonic, and supersonic parts of a Laval nozzle. In the case of a thin layer of pure gas near the wall, the problem is solved in two stages. First, the method of establishment is used to calculate the core of the flow, where the gas with the particles is flowing; under these circumstances, the parameters in the layer of pure gas are determined approximately; then simplified equations (of the type of the equations of the boundary layer) are used to find the distribution of the parameters in the zone of pure gas, and the flow in the core of the stream is refined. Examples of the calculation are given. Use of the method developed permitted establishing some of the special characteristics of the flow of a mixture of gas with particles in a Laval nozzle in the case of Stokes flow around the foreign particles.

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Literature cited

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    I. M. Vasenin and A. D. Rychkov, “Numerical solution of the problem of the flow of a mixture of a gas and particles in an axisymmetric Laval nozzle,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 178–181 (1973).

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    V. I. Kopchenov and A. N. Kraiko, “Solution within the framework of a two-liquid model of the problem of two-phase flow in a Laval nozzle,” in: Proceedings of the Scientific-Research Institute for Mechanics, Moscow State University [in Russian], No. 32 (1974).

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    A. N. Kraiko and R. A. Tkalenko, “Solution of the direct problem in the theory of a Laval nozzle for a two-phase mixture with a small lag of the particles,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 89–100 (1973).

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    R. F. Hoglund, “Recent advances in gas-particle nozzle flows,” ARS J,32, No. 5, 662–671 (1962).

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 6, pp. 37–42, November–December, 1975.

In conclusion, the author thanks A. N. Kraiko for his direction of the work, L. E. Sternin for his valuable observations, and E. V. Buganov and L. P. Frolov for their aid in the work.

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Kopchenov, V.I. Solution of the direct problem of the flow of a two-phase mixture of a gas and foreign solid or liquid particles in a laval nozzle. J Appl Mech Tech Phys 16, 869–873 (1975).

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  • Mathematical Modeling
  • Boundary Layer
  • Mechanical Engineer
  • Thin Layer
  • Industrial Mathematic