Steady-State Problems, Particles, Drops, and Bubbles

Steady-State Problems. Particles, Drops and Bubbles 

Low Peclet numbers. In [347] it was proved that for an arbitrary dependence of the diffusion coefficient on concentration and for any shape of particles and drops, the following asymptotic formula is valid for the mean Sherwood number at low Peclet numbers  

Here Sh(l, Pe) is the auxiliary Sherwood number corresponding to the solution of the linear problem (5.6.1) with D = 1. 

For a translational Stokes flow, the expression (5.6.3) gives three terms of the expansion (up to terms of the order of Pe2 In Pe inclusive). In this case, the quantity Sh(l, Pe) is determined by the ratio of the right-hand side of (4.4.22) to the dimensionless surface area of the particle. 

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