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Two problems of convective diffusion to the surfaces of poorly streamlined bodies
Two problems of convective diffusion to the surfaces of poorly streamlined bodies,10.1007/BF01050962,Fluid Dynamics,A. D. Polyanin,P. A. Pryadkin
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Two problems of convective diffusion to the surfaces of poorly streamlined bodies
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A. D. Polyanin
,
P. A. Pryadkin
Problems of diffusion to particles of nonspherical shape at large Peclet numbers have been analyzed in many papers (see [1–7], for example). The solution of the problem of mass exchange of an ellipsoidal bubble at low Reynolds numbers was obtained in [1] while the solution at
high Reynolds numbers
was obtained in [2, 3]. In [4] an expression is given for the diffusional flux to the surface of a solid ellipsoidal particle over which a uniform Stokes stream flows. Generalization to the case of particles of arbitrary shape was done in [5, 6], while generalization to any number of critical lines on the surface of the body was done in [7, 8]. The twodimensional problem of steady convective diffusion to the surface of a body of arbitrary shape is analyzed in the approximation of a diffusional
boundary layer
(ADBL). The simple analytical expressions obtained are more suitable for practical calculations than those in [58], since they allow one to determine at once, in the same
coordinate system
in which the field of flow over the particle was analyzed, the value of the diffusional flux to its surface (from the corresponding hydrodynamic characteristics). The plane problem of the diffusion to an elliptical cylinder in a uniform Stokes stream is solved. The problems of the diffusion to a plate of finite dimensions (in the plane case) and a disk (in the axisymmetric case) whose planes are normal to the direction of the incident stream are considered. It is shown that, in contrast to the results known earlier (see [4, 615], for example), where the total diffusional flux was proportional to the cube root of the Peclet number, here it is proportional to the onefourth power.
Journal:
Fluid Dynamics  FLUID DYN
, vol. 13, no. 6, pp. 876881, 1978
DOI:
10.1007/BF01050962
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Fluid Dynamics  FLUID DYN
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On the Steady Motion of a Cylinder through Infinite Viscous Fluid
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