Abstract
The problem of flow of a liquid about a nonuniformly heated droplet at small Reynolds numbers is solved analytically with allowance for the effect of medium motion with arbitrary temperature differences between the particle surface and the region away from it and the temperature dependence of the viscosity, represented in the form of a series. It is shown that in the approximation considered the nonuniformly heated droplet retains a spherical shape.
Similar content being viewed by others
References
Yu. I. Gupalo, A. E. Rednikov, and Yu. S. Ryazantsev, Prikl. Mat. Mekh., 53, Issue 3, 433–442 (1989).
V. A. Gorodtsov, Prikl. Mekh. Tekh. Fiz., No. 6, 32–37 (1975).
V. I. Naidenov, Prikl. Mat. Mekh., 38, Issue 1, 162–166 (1971).
A. M. Golovin and V. V. Fominykh, Mekh. Zhidk. Gaza, No. 1, 38–42 (1983).
Yu. I. Yalamov and A. S. Sanasaryan, Inzh.-Fiz. Zh., 28, No. 6, 1061–1064 (1975).
O. A. Popov, Theory of the Motion of Droplets and Solid Particles in Liquid Media That Are Nonuniform in Temperature, Author’s Abstract of Candidate’s Dissertation in Physical and Mathematical Sciences, Moscow (1986).
C. W. Oseen, Ark. Math. Astron. Fys., 6, No. 29, 102–114 (1910).
L. Praudman and J. B. A. Pearson, J. Fluid Mech., 2, No. 3, 237–262 (1957).
A. Acrivos and T. D. Taylor, J. Phys. Fluids, 5, No. 4, 387–394 (1962).
St. Bretschneider, Properties of Gases and Liquids. Engineering Methods of Calculation [Russian translation], Moscow (1966).
J. Happel and G. Brenner, Hydrodynamics at Small Reynolds Numbers [Russian translation], Moscow (1976).
L. D. Landau and E. M. Lifshits, Mechanics of Continua [in Russian], Moscow (1954).
M. van Dyke, Perturbation Methods in Fluid Mechanics [Russian translation], Moscow (1967).
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Moscow (1972).
E. Kamke, Handbook of Ordinary Differential Equations [Russian translation], Moscow (1961).
N. V. Malai, M. A. Amatov, and E. R. Shchukin, in: Differential Equations (Qualitative Theory), Interinstitute Collection of Scientific Papers [in Russian], Ryazan’ (1995), pp. 102–112.
Author information
Authors and Affiliations
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 73, No. 4, pp. 728–738, July–August, 2000.
Rights and permissions
About this article
Cite this article
Malai, N.V. Flow of a liquid about a nonuniformly heated droplet with arbitrary temperature differences in its vicinity. J Eng Phys Thermophys 73, 713–724 (2000). https://doi.org/10.1007/s10891-000-0080-y
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10891-000-0080-y