Abstract
The Stokes and Hadamard-Riabouchinsky formulas are generalized to the case of steady motion of a solid spherical particle or drop in an incompressible fluid whose viscosity depends exponentially on the temperature. It is shown that for finite temperature differences between the surface of the particle and the region far from it the drag is determined by an effective viscosity with value close to the geometric mean of the viscosity on the surface of the particle and far from it.
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S. M. Targ, Fundamental Problems in the Theory of Laminar Flows [in Russian], Gostekhizdat, Moscow-Leningrad (1951), p. 420.
B. S. Petukhov, Heat Transfer and Drag in the Case of Laminar Flow of Fluids in Tubes [in Russian], Énergiya, Moscow (1967), p. 411.
P. van Carey and J. C. Mollendorf, “Variable viscosity effects in several natural convection flows,” Int. J. Heat Mass Transfer,23, 95 (1980).
V. G. Levich, Physicochemical Hydrodynamics [in Russian], Fizmatgiz, Moscow (1959), p. 699.
H. Lamb, Hydrodynamics, Cambridge (1932).
J. Mathews, “Drag force on a slowly moving sphere in a medium with variable viscosity,” Phys. Fluids,21, 876 (1978).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 38–42, January–February, 1983.
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Golovin, A.M., Fominykh, V.V. Motion of a spherical particle in a viscous nonisothermal fluid. Fluid Dyn 18, 26–29 (1983). https://doi.org/10.1007/BF01090504
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DOI: https://doi.org/10.1007/BF01090504