Solution of foam drainage model by variational iteration transform method with fractional approach

Abstract

In the present analysis, the variational iteration transform method have been employed to find an approximate analytical solution of the fractional order of the 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 the passage of liquid through a foam, using 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. The result obtained from the proposed method is very close to the exact solution of the problem. VITM gives the solution without the need for Adomian polynomial, linearization, or discretization. The solutions defined by VITM and exact are compared here for the efficiency of the proposed method.