Abstract
This article presents a mathematical model of vapor bubble growth in a superheated liquid, which simultaneously takes into account both dynamic and thermal effects and includes the well-known classical equations, the momentum equation and the heat equation, written to take into account the process of liquid evaporation. An approximate semi-analytical solution of the problem is found, its construction based on the existence of a quasi-stationary state for the bubble growth process. This makes it possible to reduce the original moving boundary value problem to a system of ordinary differential equations of the first order. The solution obtained is valid at all stages of the process and for a wide range of system parameters. It is shown that at large times the solution becomes self-similar and in limiting cases it agrees with the known solutions of other authors.
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Funding
This work was supported by the Russian Science Foundation, project no. 19-19-00122.
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Translated by L. Trubitsyna
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Chernov, A.A., Guzev, M.A., Pil’nik, A.A. et al. Analytical Description of Vapor Bubble Growth in a Superheated Liquid: A New Approach. Dokl. Phys. 65, 405–408 (2020). https://doi.org/10.1134/S1028335820110026
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DOI: https://doi.org/10.1134/S1028335820110026