Unsteady convection mass transfer inside a drop in the presence of volume chemical reaction

Abstract

Unsteady diffusion inside a moving drop of material dissolved in a stream of viscous liquid is investigated at high Peclet numbers. The diffusing material in the drop volume may take part in a first-order chemical reaction. The case is considered, when the concentration of the dissolved substance in the liquid surrounding the drop is uniform, and its transport inside the drop depends on the velocity field distribution and the concentration only in that region (the internal problem). The flow in the drop is assumed to be steady and to correspond to a spherical Hill vortex (at low Reynolds number).