Towards Heat Transfer Critical Conditions for Flow of Fluids with a Nonmonotonic Dependence of Viscosity on the Temperature in Annular Channel
- Authors: Kireev V.N.1, Mukhutdinova A.A.2, Urmancheev S.F.2
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Affiliations:
- Ufa University of Science and Technology
- Mavlutov Institute of Mechanics UFRC RAS
- Issue: Vol 87, No 3 (2023)
- Pages: 369-378
- Section: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/138864
- DOI: https://doi.org/10.31857/S0032823523030062
- EDN: https://elibrary.ru/ZTIVUQ
- ID: 138864
Cite item
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.
About the authors
V. N. Kireev
Ufa University of Science and Technology
Author for correspondence.
Email: kireev@anrb.ru
Russia, Ufa
A. A. Mukhutdinova
Mavlutov Institute of Mechanics UFRC RAS
Author for correspondence.
Email: muhutdinova18@gmail.com
Russia, Ufa
S. F. Urmancheev
Mavlutov Institute of Mechanics UFRC RAS
Author for correspondence.
Email: said@anrb.ru
Russia, Ufa
References
- Frenkel J. Kinetic Theory of Liquids. Oxford: Clarendon, 1946. 488 p.
- Vinogradov G.V., Malkin A.Y. Rheology of Polymers. Berlin; Heidelberg: Springer, 1980. 468 p.
- Bacon R.F., Fanelli R. The viscosity of sulfur // J. Am. Chem. Soc., 1943, vol. 65, pp. 639–648.
- 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.
- 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.
- Fink J.H., Park S.O., Greeley R. Cooling and deformation of cooling sulfur flow // Icarus, 1983, vol. 56, no. 1, pp. 38–50
- Urmancheev S.F., Kireev V.N. Steady flow of a fluid with an anomalous temperature dependence of viscosity // Dokl. Phys., 2004, vol. 49, no. 5, pp. 328–331.
- Urmancheev S., Kireev V. The transient flow of liquid with non-monotonous temperature dependent viscosity in a plane channel // AIP Conf. Proc., 2017, vol. 1906, no. 1, pp. 200009.
- Kireev V.N., Nizamova A.D., Urmancheev S.F. The hydraulic resistance of thermoviscous liquid flow in a plane channel with a variable cross-section // J. Phys. Conf. Ser., 2019, vol. 1158, no. 3, pp. 032014.
- Kireev V.N., Nizamova A.D., Urmancheev S.F. Some features of hydrodynamic instability of a plane channel flow of a thermoviscous fluid // Fluid Dyn., 2019, vol. 54, no. 7, pp. 978–982.
- Patankar S. Numerical Heat Transfer and Fluid Flow. N.Y.: Hemisphere, 1980. 214 p.