Nonspherical Cavity Filled by a Stagnant Medium

The method of asymptotic analogies (see Section 4.1) permits one to generalize formulas (5.4.2)—(5.4.4) to cavities of an arbitrary shape. In the special case of a first-order volume reaction, we obtain the formula 

For an arbitrary rate of volume chemical reaction, the mean Sherwood number may be calculated according to the formula 

For a first-order volume reaction, the mean concentration over the volume is calculated as follows  

We note that relation (5.4.6) between c and Sh is exact. Substituting (5.4.5) into (5.4.6), one can obtain a formula for the mean concentration. 

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