Abstract
It is shown that for sufficiently large values of the thermal conductivity of the condensed phaseλ' as compared with the thermal conductivity of the vaporλ (λ/λ' ∼ Kn) the effects associated with the presence of a Knudsen layer on the evaporating surface must be taken into account in order to obtain a solution of the problem of a spherical particle in a slow (Re∞, ≪ 1) continuum (Knudsen number Kn ≪ 1) flow of its own vapor. The drag is calculated for various types of boundary conditions on the particle surface.
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Literature cited
J. P. Hirth and G. M. Pound, Condensation and Evaporation, Pergamon (1963).
R. Ya. Kucherov and L. é. Rikenglaz, “Hydrodynamic boundary conditions in the presence of evaporation and condensation,” Zh. Eksp. Teor. Fiz.,37, 125 (1959).
N. K. Makashev, “Evaporation, condensation and heterogeneous chemical reactions at low values of the Knudsen number,” Uch. Zap. TsAGI,5, 49 (1974).
R. I. Nigmatulin, Fundamentals of the Mechanics of Heterogeneous Media [in Russian], Nauka, Moscow (1978).
S. S. Brodskii and A. M. Golovin, “Effect of asymmetry of the heat flux on the drag of a droplet in a viscous flow,“ Inzh.-Fiz. Zh.,30, 494 (1976).
J. Montlucon, “Heat and mass transfer in the vicinity of an evaporating droplet,” Int. J. Multiphase Flow,2, 171 (1975).
A. Yu. Boris, “Slow flow over a strongly heated sphere in the presence of injection and evaporation from its surface,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 128 (1982).
E. S. Asmolov and M. N. Kogan, “Role of the Knudsen layer in the droplet evaporation problem,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 127 (1984).
M. N. Kogan, V. S. Galkin, and O. G. Fridlender, “Stresses in gases resulting from nonuniformity of the temperature and concentrations. New types of free convection,” Usp. Fiz. Nauk,119., 111 (1976).
S. K. Godunov, “Numerical solution of boundary-value problems for systems of linear ordinary differential equations,” Usp. Mat. Nauk,16, 171 (1961).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 134–139, March–April, 1987.
In conclusion the authors wish to thank V. S. Galkin and M. N. Kogan for useful discussions.
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Asmolov, E.S., Boris, A.Y. Boundary kinetic effects in the problem of slow flow over an evaporating heat-conducting spherical particle. Fluid Dyn 22, 279–283 (1987). https://doi.org/10.1007/BF01052263
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DOI: https://doi.org/10.1007/BF01052263