Conjugate mass transfer during gas absorption by falling liquid droplet with internal circulation

We considered conjugate mass transfer during absorption of a gas by a falling droplet with internal circulation. Gaseous phase is assumed to contain inert admixtures, and resistance to mass transfer in both phases is taken into account. Mass flux is directed from a gaseous phase to a droplet, and the interfacial shear stress causes a fluid flow inside the droplet. Droplet deformation under the influence of the interface shear stress is neglected. Absorbate accumulation in the bulk of dispersed phase is taken into account. The problem is solved in the approximations of a thin concentration boundary layer in the dispersed and continuous phases. The bulk of a droplet, beyond the diffusion boundary layer is completely mixed, and concentration of absorbate is homogeneous and time-dependent in the bulk. The thermodynamic parameters of a system are assumed constant. By combining the generalized similarity transformation method with Duhamel's theorem, the system of transient conjugate equations of convective diffusion for absorbate transport in liquid and gaseous phases with time-dependent boundary conditions is reduced to Volterra integral equation of the second kind which is solved numerically. Theoretical results are compared with the available experimental data.