ANALYTICAL RELATIONSHIP BETWEEN THE COEFFICIENTS OF THE ADDED MASS AND THERMAL CONDUCTIVITY IN A SUSPENSION OF SPHERICAL PARTICLES

В. V. Boshenyatov; Бошенятов Б. В.

doi:10.31857/S2686740023050024

ANALYTICAL RELATIONSHIP BETWEEN THE COEFFICIENTS OF THE ADDED MASS AND THERMAL CONDUCTIVITY IN A SUSPENSION OF SPHERICAL PARTICLES

Authors: Boshenyatov В.V.¹
Affiliations:
1. Institute of Applied Mechanics, Russian Academy of Sciences
Issue: Vol 512, No 1 (2023)
Pages: 58-62
Section: МЕХАНИКА
URL: https://journals.rcsi.science/2686-7400/article/view/232977
DOI: https://doi.org/10.31857/S2686740023050024
EDN: https://elibrary.ru/OWNGMS
ID: 232977

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription Access

Abstract
About the authors
References
Supplementary files
Statistics

Abstract

An analytical dependence between the dimensionless coefficients of the added mass and thermal conductivity was obtained in a suspension of spherical particles. The dependence is confirmed by comparison with the theoretical data of other authors, including at elevated concentrations of dispersed particles, taking into account their hydrodynamic interaction.

Keywords

suspension, ideal incompressible fluid, added mass coefficient, thermal conductivity coefficient

About the authors

В. V. Boshenyatov

Institute of Applied Mechanics, Russian Academy of Sciences

Author for correspondence.
Email: bosbosh@mail.ru
Russia, Moscow

References

Дульнев Г.Н., Новиков В.В. Процессы переноса в неоднородных средах. Л.: Энергоатомиздат. Ленингр. отд., 1991. 248 с.
Sangani A.S., Zhang D.Z., Prosperetti A. The added mass, Basset, and viscous drag coefficients in nondilute bubbly liquids undergoing small amplitude oscillatory motion // Phys. Fluids A. 1991. V. 3. № 12. P. 2955–2970. https://doi.org/10.1063/1.857838
Felderhof B.U. Virtual mass and drag in two-phase flow // J. Fluid Mech. 1991. V. 225. P. 177–196. https://doi.org/10.1017/S002211209100201X
Fackrell S. Study of the added mass of cylinders and spheres. Ph.D. thesis. University of Windsor, 2011.
Бошенятов Б.В. K теории электро- и теплопроводности пузырьковых газожидкостных сред // ДАН. 2014. Т. 459. № 6. С. 693–695. https://doi.org/10.7868/S0869565214360080
Ландау Л.Д., Лифшиц Е.М. Гидродинамика. Теоретическая физика. Т. VI. М.: Наука. Гл. ред. физ.-мат. лит., 1986. 736 с.
Ландау Л.Д., Лифшиц Е.М. Электродинамика сплошных сред. Теоретическая физика. Т. 8. М.: Наука. Гл. ред. физ.-мат. лит., 1982. 620 с.
Бошенятов Б.В. Гидродинамическое взаимодействие и присоединенная масса дисперсных частиц // Изв. вузов. Физика. 2014. Т. 57. № 8/2. С. 50–60. http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000515869
Van Wijngaarden L. Hydrodynamic interaction between gas bubbles in liquid // J. Fluid Mechanics. 1976. V. 77 (1). P. 27–44. https://doi.org/10.1017/S0022112076001110
Brennen C.E. Fundamentals of Multiphase Flows. Cambridge: Cambridge University Press, 2005. 414 p.
Гуськов О.Б., Бошенятов Б.В. Гидродинамическое взаимодействие сферических частиц в потоке невязкой жидкости // ДАН. 2011. Т. 438. № 5. С. 626–628.
Бошенятов Б.В. К расчету эффективных коэффициентов переноса в монодисперсных суспензиях сферических частиц // Письма в ЖТФ. 2015. Т. 41. Вып. 3. С. 67–73.
Jeffrey D.J. Conduction through a random suspension of spheres // Proc. Roy. Soc. London. 1973. V. A335. P. 355–367. https://doi.org/10.1098/rspa.1973.0130