Literature cited
V. G. Levich, Physicochemical Hydrodynamics, Prentice-Hall (1962).
Yu. P. Gupalo, Yu. S. Ryazantsev, and Yu. A. Sergeev, “Diffusion flow at a deformed gas bubble for high Reynolds numbers,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 70–76 (1976).
Yu. P. Gupalo, A. D. Polyanin, V. D. Polyanin, and Yu. S. Ryazantsev, “The asymptotic solution of the problem of convective diffusion to a drop with high Peclet numbers and finite Reynolds numbers,” Prikl. Mekh. Tekh. Fiz., No. 1, 99–103 (1978).
V. V. Dil'man and B. B. Brandt, “Diffusion flow near a moving drop,” Inzh.-Fiz. Zh.,12, 662–665 (1967).
V. V. Dil'man and B. B. Brandt, “Approximate method of calculating mass transfer, complicated by chemical reactions,” Teor. Osn. Khim. Tekhnol.,5, 326–328 (1971).
V. V. Dil'man and A. D. Polyanin, “Method of model equations and similarity in problems of convective mass exchange of particles with surface and volumetric reactions,” Khim. Promyshl., No. 4, 238–243 (1983).
A. M. Golovin and A. F. Zhivotyagin, “Effect of volumetric chemical reactions on mass transport inside drops for large Peclet numbers,” Vestn. Mosk. Gos. Univ., Ser. Mat. Mekh., No. 4, 77–83 (1979).
V. S. Krylov, “Diffusion boundary layer at the surface of a moving drop in the presence of volumetric chemical reactions,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 146–149 (1967).
G. E. Klinzing, G. D. Byrne, G. K. Leaf, and M. Minkoff, “Mass transfer with n-th-order chemical reaction around spheres in the presence of surfactants,” Chem. Eng. Sci.,35, 1667–1676 (1980).
R. M. Wellek and C. C. Huang, “Mass transfer from spherical gas bubbles and liquid droplets moving through power-law fluids in the laminar flow regime,” Ind. Eng. Chem. Fundam.,9, 480–488 (1970).
Yu. P. Gupalo and Yu. S. Ryazantsev,“Diffusion toward a particle during shear flow of a viscous liquid; the diffusion boundary layer approximation,” Prikl. Mat. Mekh.,36, 475–479 (1972).
Author information
Authors and Affiliations
Additional information
New approximate analytic methods are suggested for investigating problems of physicochemical mechanics. Specific examples are provided, illustrating the use of these methods.
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 46, No. 3, pp. 415–424, March, 1984.
Rights and permissions
About this article
Cite this article
Polyanin, A.D., Dil'man, V.V. New approximate analytic methods of investigating problems of physicochemical mechanics. Journal of Engineering Physics 46, 295–302 (1984). https://doi.org/10.1007/BF00831371
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00831371