Starting from the fractional calculus formulation of diffusion equations in euclidean media, a fractional equation is proposed for describing transport in fractal and disordered structures. The solution of this equation, obtained analytically, is consistent with known results for diffusion on fractals and should also apply to systems showing more general anomalous transport behaviour. Analytical expressions for the Fourier transform of the concentration profile are predicted which can be studied by X-ray- and neutron-scattering experiments. © 1992.
Giona, M., Roman, H. (1992). A theory of transport phenomena in disordered systems. THE CHEMICAL ENGINEERING JOURNAL AND THE BIOCHEMICAL ENGINEERING JOURNAL, 49(1), 1-10 [10.1016/0300-9467(92)85018-5].
A theory of transport phenomena in disordered systems
Roman H. E.
1992
Abstract
Starting from the fractional calculus formulation of diffusion equations in euclidean media, a fractional equation is proposed for describing transport in fractal and disordered structures. The solution of this equation, obtained analytically, is consistent with known results for diffusion on fractals and should also apply to systems showing more general anomalous transport behaviour. Analytical expressions for the Fourier transform of the concentration profile are predicted which can be studied by X-ray- and neutron-scattering experiments. © 1992.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
