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DOI: 10.1615/ICHMT.2014.IntSympConvHeatMassTransf.980
pages 1303-1315

A. N. Lumpova
Tyumen State University, 10 Semakova str., 625000 Tyumen, Russia

Eduard Son
Joint Institute for High Temperature RAS

P. T. Zubkov
Mathematical Simulation Laboratory, Surgut State University, Surgut 628408; and Tyumen State University, Tyumen, Russia


This article is about the stabilized thermoviscous flows in the channel, i.e. flows observed far from the beginning of the channel. The channel is supplied with a flow of liquid with a preset volumetric rate. The upper and lower walls are supported at constant and different temperature. Temperature of the upper wall is more than by the lower. Researched flow can be both laminar and turbulent. It is known that turbulence appears, when the Reynolds number exceeds the critical. In viewed problem viscosity of a fluid is temperature function and so there are cases, when in one part of the channel flow is turbulent, and laminar in the other. In this research it will be viewed viscosity that depends on temperature linearly and exponentially. It was used K − ε Launder-Sharma model for the simulation of a flow turbulence [Launder B. E., Sharma B.I. 1974]. The problem was solved numerically by the control volume method [Patankar S.V. 1991] and method of stabilization. The hysteresis phenomenon for thermoviscous liquid is received. The solution of this task can clarify the expense of pumping of thermoviscous liquids.

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