The problem of steady-state convective diffusion to a solid spherical particle located in a Stokes flow was discussed in  in the approximation of a diffusion boundary layer. The region of the rear critical point at which the boundarylayer solution is inacceptable was investigated in [2, 3]. With the investigation of the diffusional interaction of several particles in a stream of liquid (for example, two spheres with a common axis, directed along the flow), we must know the distribution of the concentration in a region of small angles behind the body, giving the flow for the following particle. In the present work a solution is given to the problem of the distribution of the concentration in the diffusional wake of a spherical particle. It is shown that the concentration rises proportionally to the square root of the distance to its surface.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 176–179, January–February, 1977.
The author thanks Yu. P. Gupalo and Yu. S. Ryazantsev for their useful observations.
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Polyanin, A.D. Distribution of the concentration in a diffusion wake with stokes flow around a particle. Fluid Dyn 12, 150–152 (1977). https://doi.org/10.1007/BF01074645
- Boundary Layer
- Spherical Particle
- Small Angle
- Diffusion Boundary
- Stoke Flow