Abstract
The field of concentrations and the rate of diffusion toward a drop or particle of arbitrary shape situated in a stream of liquid are determined for the case in which a chemical action of the first order is taking place on the surface. The solution is derived by matching asymptotic expansions in terms of the Péclet number; the Reynolds number is regarded as being small. In the particular case of an infinitely high chemical reaction rate the results derived in an earlier paper [1] follow directly from this solution. On the other hand, for a particle of spherical form the results agree with the solution presented in [2].
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H. Brenner, “Forced-convection heat and mass transfer at small Péclet numbers from a particle of arbitrary shape,” Chem. Engng. Sci.,18, No. 2 (1963).
Yu. P. Gupalo and Yu. S. Ryazantsev, “Mass and heat transfer from a sphere in a laminar flow,” Chem. Engng. Sci.,127, No. 1 (1972).
H. Brenner and R. G. Cox, “The resistance to a particle of arbitrary shape in translational motion at small Reynolds numbers,” J. Fluid Mech.,17, Pt. 4 (1963).
A. Acrivos and T. D. Taylor, “Heat and mass transfer from single spheres in Stokes flow,” Phys. Fluids,5, No. 4 (1962).
Yu. P. Gupalo, Yu. S. Ryazantsev, and A. T. Chalyuk, “Flow around a sphere covered with a liquid film for small Reynolds numbers,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5 (1974).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 99–106, March–April, 1975.
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Gupalo, Y.P., Ryazantsev, Y.S. & Syskov, Y.N. Diffusion to a reacting particle of arbitrary shape having a liquid flowing around it. Fluid Dyn 10, 274–281 (1975). https://doi.org/10.1007/BF01015599
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DOI: https://doi.org/10.1007/BF01015599