Abstract
The use of the time-establishment process in solving problems relating to the steady flow of an ideal (nonviscous and heat-insulating) gas around a cascade of profiles is considered. Chief attention is paid to the role of the Chaplygin-Zhukovskii condition, which is needed [1, 2] when solving these as steady-state problems. Results obtained during the time-establishment process with and without the application of the condition in question are presented. In both cases certain time-independent distributions of the parameters satisfying the equations and conditions of the steady-state problem (or more precisely their finite-difference analog) are produced during the establishment process. Comparison of the resultant distributions shows that the difference between the two cases lies within the limits of computing error, the results of the calculations agreeing quite well with experimental data.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 118–124, July–August, 1974.
In conclusion, the authors wish to thank S. I. Ginzburg, G. Yu. Stepanov, and G. G. Chernov for taking part in discussions of this work.
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Bogod, A.B., Zamtfort, B.S., Ivanov, M.Y. et al. Use of the time-establishment process when solving problems relating to the steady flow of gas around a cascade of profiles. Fluid Dyn 9, 597–602 (1974). https://doi.org/10.1007/BF01031319
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DOI: https://doi.org/10.1007/BF01031319