Towards Heat Transfer Critical Conditions for Flow of Fluids with a Nonmonotonic Dependence of Viscosity on the Temperature in Annular Channel-Reference-Cited by-同舟云学术

Towards Heat Transfer Critical Conditions for Flow of Fluids with a Nonmonotonic Dependence of Viscosity on the Temperature in Annular Channel

Published:2023-05-01 Issue:3 Volume:87 Page:369-378
ISSN:0032-8235
Container-title:Прикладная математика и механика
language:
Short-container-title:Prikladnaâ matematika i mehanika

Author:

Kireev V. N.¹,Mukhutdinova A. A.²,Urmancheev S. F.²

Affiliation:

1. Ufa University of Science and Technology

2. Mavlutov Institute of Mechanics UFRC RAS

Abstract

The present work is devoted to mathematical modeling of the features of the flow of fluids with a nonmonotonic dependence of viscosity on temperature, which is inherent in some solutions and melts of polymers, as well as in a number of liquid metal alloys. For a given pressure drop, the critical conditions of heat transfer on the channel walls are found, which determine the fluid flow rate in the process of establishing a flow associated with the formation of a localized high-viscosity region.

Publisher

The Russian Academy of Sciences

Reference11 articles.

1. Frenkel J. Kinetic Theory of Liquids. Oxford: Clarendon, 1946. 488 p.

2. Vinogradov G.V., Malkin A.Y. Rheology of Polymers. Berlin; Heidelberg: Springer, 1980. 468 p.

3. Bacon R.F., Fanelli R. The viscosity of sulfur // J. Am. Chem. Soc., 1943, vol. 65, pp. 639–648.

4. Tabachnikova E.D., Bengus V.Z., Egorov D.V., Tsepelev V.S., Ocelik V. Mechanical properties of amorphous alloys ribbons prepared by rapid quenching of the melt after different thermal treatments before quenching // Mater. Sci. Eng. A, 1997, vol. 226–228, pp. 887–890.

5. Altunina L.K., Kuvshinov V.A., Kuvshinov I.V., Stasyeva L.A., Chertenkov M.V., Andreev D.V., Karmanov A.Yu. Enhanced oil recovery from permian-carboniferous deposit of high-viscosity oil in the Usinsk oilfield with physicochemical and complex technologies // J. Sib. Fed. Univ. Chem., 2018, vol. 11, no. 3, pp. 462–476.