Abstract
The method of S. A. Chaplygin [1], as generalized by S. V. Fal'kovich [2] to the case of a few characteristic velocities, is used to solve the two-dimensional problem of the penetration of a subsonic jet of compressible fluid flowing at an angle from a slit into a stream of the same fluid bounded by parallel walls. The problem is solved for the case of an incompressible fluid by passing to the asymptotic limit. Using the tables of [3] the compression coefficient is calculated for a stream of gas merged with an incompressible fluid.
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References
S. A. Chaplygin, Gas Jets [in Russian], Gostekhizdat, 1949.
S. V. Fal'kovich, “The theory of gas jets,” PMM, vol. 21, no. 4, 1957.
D. F. Ferguson and M. G. Lighthill, “Thehodograph transformation in transonic flow, IV. Tables, “ Proc. Roy. Soc. A, vol. 192, no. 1028, 1947.
T. M. Cherry, “Asymptotic expansions for the hypergeometric functions occurring in gas-flow theory, ” Proc. Roy. Soc. London A, vol. 202, no. 1071, 1950.
S. K. Aslanov and V. A. Legkova, “The flow of a gas jet from a vessel of finite width, ” PMM, vol. 23, no. 1, 1959.
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Vladimirov, F.S. The penetration of a jet into a channel. J Appl Mech Tech Phys 8, 25–28 (1967). https://doi.org/10.1007/BF00913203
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DOI: https://doi.org/10.1007/BF00913203