The anomalous flux 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 the porous solid, then a generalized version of the Darcy 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 physical picture of the use fractional-order Darcy equation recently used in scientific literature.
Alaimo, G., Zingales, M. (2014). FRACTIONAL-ORDER GENERALIZATION OF TRANSPORT EQUATIONS IN FRACTAL POROUS MEDIA. In R. Zannoli, I. Corazza, Rita. Stagni (a cura di), Proceedings of ICMMB2014.
FRACTIONAL-ORDER GENERALIZATION OF TRANSPORT EQUATIONS IN FRACTAL POROUS MEDIA
Alaimo, Gianluca;ZINGALES, Massimiliano
2014-01-01
Abstract
The anomalous flux 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 the porous solid, then a generalized version of the Darcy 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 physical picture of the use fractional-order Darcy equation recently used in scientific literature.
| File | Dimensione | Formato | |
|---|---|---|---|
|
FRACTIONAL-ORDER GENERALIZATION.pdf
accesso aperto
Descrizione: Licenza: Creative Commons Attribution Non-commercial 3.0 (CC BY-NC 3.0)
Tipologia:
Versione Editoriale
Dimensione
1.47 MB
Formato
Adobe PDF
|
1.47 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
