Abstract
An examination is made of the stationary problem of temperature distribution in a liquid of known mass covering a solid sphere falling under gravity, the temperatures of both media with which the liquid is in contact being given. A solution has been obtained under the assumption of constant coefficient of thermal expansion of the liquid. A number of particular cases is examined, the question of stability of the liquid under the temperature distribution obtained is solved, and the total heat content of the liquid is found.
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References
I. G. Petrovskii, Lectures on Partial Differential Equations, Wiley, Interscience, 1955.
S. S. Kutateladze, Fundamentals of the Theory of Heat Transfer [in Russian], Mashgiz, 1962.
L. D. Landau and E. M. Lifschitz, Mechanics of Continua [in Russian], Gostekhizdat, 1953.
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Kuznetskii, R.S. Temperature distribution in a liquid spherical layer around a sphere falling under gravity. J Appl Mech Tech Phys 6, 101–102 (1965). https://doi.org/10.1007/BF00919329
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DOI: https://doi.org/10.1007/BF00919329