ISSN 2542–0380
Труды Института механики им. Р.Р. Мавлютова
Электронный научный журнал | Electronic Scientific Journal
Proceedings of the Mavlyutov Institute of Mechanics


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Kuleshov V.S. Stationary fluid convection modes with a Gaussian viscosity dependence of temterature Proceedings of the Mavlyutov Institute of Mechanics. 2016. 11(2). 218–225.
2016. Vol. 11. Issue 2, Pp. 218–225
URL: http://proc.uimech.org/uim2016.2.032,en
DOI: 10.21662/uim2016.2.032
Stationary fluid convection modes with a Gaussian viscosity dependence of temterature
Kuleshov V.S.∗,∗∗
Mavlyutov Institute of Mechanics, Ufa
∗∗LLC “RN-UfanipiNeft”, Ufa

Abstract

The results of a numerical modeling of thermo-gravitational convection of abnormally thermo-viscous fluid in a closed square cavity with two vertical adiabatic walls and two horizontal isothermal walls are presented. A model Newtonian liquid for which the dependence of viscosity on temperature is described by a bell function (Gaussian curve) is considered. The natural convection of inhomogeneous liquid is described by the closed mathematical model based on the continuous mechanics equations written in Oberbeck-Boussinesq approximation, where the fluid density is a linear function of temperature. To simulate the fluid flow dynamics, the modified computer code based on the implicit finite volume method and SIMPLE-type algorithm with the second-order temporal accuracy is realized using multiprocessor technology. The effect of the viscosity abnormality on stationary modes of convective flows are studied, the integral heat transfer coefficients in a flat cell are calculated.

Keywords

heat transfer,
mass transfer,
natural convection,
anomalous viscosity of fluid,
thermoviscous fluid,
viscous barrier