Solution of diffusion equation of total concentration in spherical shape drops using laplace transform

Abstract

Liquid-liquid extraction is a separation technology that is based on the distribution of one or more components between two immiscible or almost immiscible liquids. The equipment that is used for the extraction is Rotating Disc Contactor (RDC) column. This research is concerned with solving analytically the diffusion equation of total concentration in spherical shape drops by using Laplace transform. Currently the drops move the counter in a RDC column. The total concentrations of all spherical shape drops were simulated by using Matlab software and Microsoft Office Excel. From the results, it shows that total concentration of spherical shape drops increases as time increases and the total concentration also increases as radius of drops increases. Whilst, the value of total concentration decreases when different values of diffusion constant were used.