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Piston problem with allowance for finite rate of exothermic reactions and nonlinear heat conduction

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Abstract

One-dimensional nonstationary flows of a combustible mixture of gases are considered with allowance for nonlinear heat conduction. The possible existence of similarity solutions is studied, and conditions are found under which such solutions do exist. The results are given of a numerical calculation of the similarity problems of a piston and self-sustaining thermal wave.

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Literature cited

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Authors and Affiliations

  1. Moscow

    A. S. Leibenzon

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  1. A. S. Leibenzon
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1. pp. 146–151, January–February, 1979.

I thank V. A. Levin for continuous assistance in the work.

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Leibenzon, A.S. Piston problem with allowance for finite rate of exothermic reactions and nonlinear heat conduction. Fluid Dyn 14, 109–113 (1979). https://doi.org/10.1007/BF01050821

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  • DOI: https://doi.org/10.1007/BF01050821

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