Труды Института механики им. Р.Р. Мавлютова

Nizamova A.D., Kireev V.N., Urmancheev S.F. Investigation of the thermoviscous liquid flow in a plane channel with a narrowing. Proceedings of the Mavlyutov Institute of Mechanics. 2017. 12(2). 157–162.

2017. Vol. 12. Issue 2, Pp. 157–162
URL: http://proc.uimech.org/uim2017.2.023,en
DOI: 10.21662/uim2017.2.023

Investigation of the thermoviscous liquid flow in a plane channel with a narrowing

Nizamova A.D., Kireev V.N., Urmancheev S.F.

Mavlyutov Institute of Mechanics, Ufa

Abstract

In this paper, the problem of the possibility of regulating hydraulic resistance due to local thermal action is considered. The flow of an incompressible liquid with a temperature dependence of the viscosity in a plane channel with a variable cross section and an inhomogeneous temperature field is investigated. The flow velocities profiles of a thermoviscous liquid for a narrowed channel are obtained numerically. Using the example of a thermoviscous liquid flow in a plane channel with a sharp expansion, it is shown that the temperature factor exerts a significant influence on the value of the local resistance coefficient for the variable channel cross-section.

Keywords

thermoviscous liquid,
hydraulic resistance

Article outline

Purpose: Numerical investigation of the thermoviscous liquid flow in a channel with a variable cross section with an inhomogeneous temperature field. |

Methods: As a numerical method for solving a system of partial differential equations, the finite element method was chosen.

In a study was determined:

1. Comparison of the theoretical formula for the coefficient of resistance and numerical results of liquid flow with a constant viscosity in a plane channel with expansion showed the discrepancy between the formula and the computational data for a given coefficient with the ratio of the cross sections tending to zero, and this is confirmed by the fact that the coefficient of local resistance is an empirical value.

2. A significant influence of the temperature factor on the value of the coefficient of local resistance at a variable cross-section of the channel is established with the condition for the dependence of the viscosity of the liquid on temperature.