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This article is cited in 2 scientific papers (total in 2 papers)
Marangoni convection in a finite-size cylinder
E. P. Magdenko Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, 660036, Russia
Abstract:
This paper considers a liquid in a finite-size cylinder in which Marangoni instability occurs. The upper boundary of the liquid is free and deformable. The problem of the occurrence of convection in a cylindrical container is solved using the method of separation of variables. A homogeneous differential equation of the sixth order with constant coefficients and complex boundary conditions is obtained. In the case of monotonic perturbations, an analytical expression for critical Marangoni numbers is derived. The case of a weightless liquid in the cylinder is considered.
Keywords:
critical Marangoni number, deformable free flat boundary, convection, method of separation of variables.
Received: 05.03.2014 Revised: 14.10.2014
Citation:
E. P. Magdenko, “Marangoni convection in a finite-size cylinder”, Prikl. Mekh. Tekh. Fiz., 57:1 (2016), 16–23; J. Appl. Mech. Tech. Phys., 57:1 (2016), 13–19
Linking options:
https://www.mathnet.ru/eng/pmtf874 https://www.mathnet.ru/eng/pmtf/v57/i1/p16
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