The Convective Transport From Drops in an Electric Field
Analyses of heat and mass transfer from a drop in an electric field have, to data, dealt only with steady electric fields. This study extends the results of such analyses, for both high and low Peclet number, to corresponding solutions for transport in an alternating electric field. The low Peclet number transport is investigated analytically using a regular and a composite, double perturbation expansion. A digital computer is employed to obtain exact solutions to the recursive governing equations. Motivated by practical considerations, this investigation also examines such transport for an assemblage of drops. Effects of neighboring drops are included in the analysis of an alternating electric field and the induced fluid motion. The results obtained here, in conjunction with analyses of transport from a single drop, provide effective heat or mass transfer rates. In an allied study, the net rate of transient convective heat transfer from a body at uniform temperature in steady flow is shown to be invariant to pointwise reversal of the flow. The proof is not based on symmetry and places no restriction on shape of the body. It remains valid over the entire range of Reynolds and Peclet numbers.
University of Illinois - Urbana-Champaign
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University of Illinois at Urbana-Champaign