Abstract
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.
Lingua originale | English |
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pagine (da-a) | 889-902 |
Numero di pagine | 14 |
Rivista | COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION |
Volume | 22 |
Stato di pubblicazione | Published - 2014 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.2600.2612???
- ???subjectarea.asjc.2600.2611???
- ???subjectarea.asjc.2600.2604???