Solution of time fractional foam drainage model

  • Archana C. Varsoliwala SVNIT
  • Twinkle R. Singh

Abstract

This paper deals with the study of time fractional foam drainage model. Foam is a collection of gas bubbles inside a liquid or solid and drainage refers to the flow of liquid within a foam. Foam drainage refers to the phenomenon of passage of liquid through a foam, by means of channels and nodes, caused primarily by the force of gravity and capillary action. Foam drainage plays a very important role in foam stability - the property of foam to maintain its initial state, which directly impacts its utility. In this work, we utilize Elzaki Adomian Decomposition Method (EADM) to successfully obtain the solution for the proposed model for various distance and time. EADM gives the solution without the need of linearization or discretization. The solutions defined
by EADM and exact are compared here for efficiency of the proposed method.

Published
2023-02-21