Particles, Drops, and Bubbles. First-Order Reaction

Particles, Drops, and Bubbles. First-Order Reaction 

Moderate Peclet Numbers. For spherical particles, drops, and bubbles (under limiting resistance of the continuous phase), in the case of a first-order volume reaction, the mean Sherwood number can be calculated [358] by the formula 

Here Sho = Sho(Pe) is the Sherwood number in the absence of chemical reactions 

The expression (5.3.7) gives exact asymptotic results for all four limit cases kv - 0, ky - oo, Pe - 0, and Pe — oo (it is assumed that there are stagnant points on the interface). For a spherical drop in a translational Stokes flow, the maximum error of Eq. (5.3.7) is about 7%. For a translational or linear straining shear Stokes flow past a solid sphere, one must set Sho = Shp in (5.3.7), where the value of Shp is calculated with the aid of (4.7.9) and (4.8.5). 

Mass and Heat Transfer Under Complicating Factors 

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