A series solution of the foam drainage equation

Abstract

Foaming occurs in many distillation and absorption processes. The drainage of liquid foams involves the interplay of gravity, surface tension, and viscous forces. In this paper, we apply an analytic technique, namely the homotopy analysis method (HAM) to handle the foam drainage equation. The powerful homotopy analysis method computes the solution in a rapidly convergent infinite series. We also compare the numerical results obtained by HPM or ADM and the same results obtained by using the analytic solutions obtained by HAM.