Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632471 | Applied Mathematics and Computation | 2009 | 10 Pages |
Abstract
In this paper we present a time fractional Fokker–Planck equation (fFPE) for radial two-phase flow of liquid and gas in porous media. The fFPE of order α is solved for both two- and three-dimensional flow patterns using the Laplace transform method. The general solutions of the fFPE for both two- and three- dimensional flows are given as a convolution integral of the input and a kernel in the Laplace domain. Special solutions for a large value and a periodic boundary condition are also given in the time domain when the inverse Laplace transform can be found analytically. The fFPE for two-phase flow in porous media presented in this paper is the first report of its kind.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ninghu Su,