Journal of Siberian Federal University. Mathematics & Physics / Сombined Motion of Three Viscous Heat-conducting Liquids in a Flat Layer

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (2)
Authors
Lemeshkova, Elena N.
Contact information
Lemeshkova, Elena N.: Institute of Computational Modelling, SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036 Russia; e-mail: lena
Keywords
boundary value problem; Laplace transformation; thermocapillarity
Abstract

Thejoint unidirectional motion of three viscousliquids undertheinfluence of thermocapillarityforces and pressure difference has been researched. An exact stationary solution of the problem has been found. The solution of the non — stationary problem has been obtained in the form of final analytical formulas in the image using the method of Laplace transformation. By the numerical inversion of Laplace transformation the evolution of the velocity fields and of the temperature perturbation to the stationary regime for specific liquids has been obtained.

Pages
211–219
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/9679