Laminar flow through fractal porous materials: The fractional-order transport equation

Massimiliano Zingales, Gianluca Alaimo, Massimiliano Zingales

Risultato della ricerca: Articlepeer review

21 Citazioni (Scopus)


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 originaleEnglish
pagine (da-a)889-902
Numero di pagine14
Stato di pubblicazionePublished - 2014

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

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