Fourier transform technique for analytical solution of diffusion equation of concentration spherical drops in rotating disc contactor column

Abstract

A Fourier transform technique has been utilized to obtain analytical solution of diffusion equation of concentration of spherical drops in the Rotating Disc Contactor (RDC) column. The result obtained by Fourier transforms technique is compared with the result that obtained using separation variables. This study shows that the concentrations of spherical shape drops obtained by using both methods are the same. We find that the time for the drops to attains equilibrium depend on the size of drops. The smaller size of drops cause quicker time for the drops to attains the equilibrium.