Convective Mass Transfer Within a Drop Cavity

Convective Mass Transfer Within a Drop (Cavity) 

Let us consider mass transfer within a drop (or a cavity) of an arbitrary shape taking into account the circulation of the fluid (the motion of the fluid can be caused by the external flow about the drop or other factors). 

By integrating Eq. (5.3.1) over the cavity volume V, after a number of transformations, we obtain [166] 

For a monotone kinetic function /v = /v(c), by taking into account the inequality /v(c) /v(l) = 1 forO c 1, from (5.4.7) we obtain a rough estimate 

In the inner problems of the convective mass transfer for kv - 0(1) as Pe — oo, the concentration is leveled out along each streamline. The mean Sherwood number, by virtue of the estimate (5.4.8), is bounded above uniformly with respect to the Peclet number Sh const kw. This means that the inner diffusion boundary layer cannot be formed by increasing the circulation intensity alone (i.e., by increasing the fluid velocity, which corresponds to Pe - oo) for moderate values of kv. This property of the mean Sherwood number is typical of all inner problems. For outer problems of mass transfer, the behavior of this quantity is essentially different here a thin diffusion boundary layer is usually 

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