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

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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.
Russia, Ufa

A. A. Mukhutdinova

Mavlutov Institute of Mechanics UFRC RAS

Author for correspondence.
Russia, Ufa

S. F. Urmancheev

Mavlutov Institute of Mechanics UFRC RAS

Author for correspondence.
Russia, Ufa


  1. Френкель Я.И. Кинетическая теория жидкостей. Л.: Наука, 1975. 592 с.
  2. Виноградов Г.В., Малкин А.Я. Реология полимеров. М.: Химия, 1977. 438 с.
  3. Bacon R.F., Fanelli R. The viscosity of sulfur // J. Am. Chem. Soc. 1943. V. 65. P. 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. V. 226–228. P. 887–890.
  5. Алтунина Л.К., Кувшинов В.А., Кувшинов И.В., Стасьева Л.А., Чертенков М.В., Андреев Д.В., Карманов А.Ю. Увеличение нефтеотдачи пермо-карбоновой залежи высоковязкой нефти Усинского месторождения физико-химическими и комплексными технологиями (обзор) // СФУ ж. Химия. 2018. Т. 11. № 3. С. 462–476.
  6. Fink J.H., Park S.O., Greeley R. Cooling and deformation of cooling sulfur flow // Icarus. 1983. V. 56. № 1. P. 38–50.
  7. Урманчеев С.Ф., Киреев В.Н. Установившееся течение жидкости с температурной аномалией вязкости // Докл. РАН. 2004. Т. 396. № 2. С. 204–207.
  8. Urmancheev S., Kireev V. The transient flow of liquid with non-monotonous temperature dependent viscosity in a plane channel // AIP Conf. Proc. 2017. V. 1906. № 1. P. 200009.
  9. 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. V. 1158. № 3. P. 032014.
  10. Киреев В.Н., Низамова А.Д., Урманчеев С.Ф. Некоторые особенности гидродинамической неустойчивости термовязкой жидкости в плоском канале // ПММ. 2019. № 3. С. 454–459.
  11. Патанкар С. Численные методы решения задач теплообмена и динамики жидкости. М.: Энергоатомиздат, 1984. 152 с.

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Copyright (c) 2023 В.Н. Киреев, А.А. Мухутдинова, С.Ф. Урманчеев

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