کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632471 1340646 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
N-dimensional fractional Fokker–Planck equation and its solutions for anomalous radial two-phase flow in porous media
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
N-dimensional fractional Fokker–Planck equation and its solutions for anomalous radial two-phase flow in porous media
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 213, Issue 2, 15 July 2009, Pages 506–515
نویسندگان
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