Journal of Siberian Federal University. Mathematics & Physics / Influence of the Interfacial Internal Energy on the Thermocapillary Steady Flow

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2017 10 (4)
Authors
Andreev, Victor K.
Contact information
Andreev, Victor K.: Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Akademgorodok, 50/44, Krasnoyarsk, Institute of Mathematics and Fundamental Informatics, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia;
Keywords
interface; thermocapillary; interfacial internal energy; inverse problem
Abstract

Two-dimensional creeping motion of a two immiscible viscous heat-conducting fluids on the interface for which the surface tension depends linearly on the temperature is investigated. On solid walls the temperature has extreme values and this agrees well with the velocity field of the Hiemenz’s type. At small Marangoni numbers an exact solution of arising inverse boundary value problem is found. The estimation of degree of influence of the interfacial internal energy on the stationary flow is given

Pages
537-547
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/35342