期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 22, 期 1-3, 页码 889-902出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2014.10.005
关键词
Transport equations; Fractional calculus; Fractals
类别
资金
- national research grant Prin
The anomalous transport of a viscous fluid across a porous media with power-law scaling of the geometrical features of the pores is dealt with in the paper. It has been shown that, assuming a linear force-flux relation for the motion in a porous solid, then a generalized version of the Hagen-Poiseuille equation has been obtained with the aid of Riemann-Liouville fractional derivative. The order of the derivative is related to the scaling property of the considered media yielding an appropriate mechanical picture for the use of generalized fractional-order relations, as recently used in scientific literature. (C) 2014 Elsevier B.V. All rights reserved.
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