An anomalous non-self-similar infiltration and fractional diffusion equation

Physica D: Nonlinear Phenomena

Volumn 239, Issue 16, 2010, Pages 1593-1597

  Gerasimov, D N ^a   Kondratieva, V A ^a   Sinkevich, O A ^a  

^a MOSCOW POWER ENGINEERING INSTITUTE   (Russian Federation)

Author keywords

Fractional diffusion equation; Infiltration; Porous media

Indexed keywords

CEMENT MANUFACTURE; DIFFUSION; PARTIAL DIFFERENTIAL EQUATIONS; POROUS MATERIALS; WATER ABSORPTION;

CEMENT MORTARS; FIRED CLAY BRICKS; FRACTIONAL DIFFUSION EQUATION; FRACTIONAL EQUATION; LIQUID INFILTRATION; PHYSICAL MEANINGS; TIME DERIVATIVE; WATER INFILTRATION;

INFILTRATION;

EID: 77954082959     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2010.04.005     Document Type: Article

References (16)

1. Küntz M., and Lavallée P. Experimental evidence and theoretical analysis of anomalous diffusion during water infiltration in porous building materials. J. Phys. D.: Appl. Phys. 34 (2001) 2547-2554
2. Lockington D.A., and Parlange J.-Y. Anomalous water absorption in porous materials. J. Phys. D.: Appl. Phys. 36 (2003) 760-767
3. Pel L., Kopinga K., Bertram G., and Lang G. Water absorption in a fired-clay brick observed by NMR scanning. J. Phys. D.: Appl. Phys. 28 (1995) 675-680
4. Hazrati K., Pel L., Marchand J., Kopinga K., and Pigeon M. Determination of isothermal unsaturated capillary flow in high performance cement mortars by NMR imaging. Mater. Struct. 35 (2002) 614-622
5. El Abd A.E.-G., and Milczarek J.J. Neutron radiography study of water absorption in porous building materials: anomalous diffusion analysis. J. Phys. D.: Appl. Phys. 37 (2004) 2305-2313
6. Carpenter T.A., Davies E.S., Hall C., Hall L.D., Hoff W.D., and Wilson M.A. Capillarity water migration in rock: process and material properties examined by NMR imaging. Mater. Struct. 26 (1993) 286-292
7. Taylor S.C., Hoff W.D., Wilson M.A., and Green K.M. Anomalous water transport properties of Portland and blended cement-based materials. J. Mater. Sci. Lett. 18 (1999) 1925-1927
8. In: Hilfer R. (Ed). Applications of Fractional Calculus in Physics (2000), World Scientific 463 p.
9. West B.J., Bologna M., and Grigolini P. Physics of Fractal Operators (2003), Springer 354 p.
10. Roman H.E., and Alemany P.A. Continuous-time random walks and the fractional diffusion equation. J. Phys. A: Math. Gen. 27 (1994) 3407-3410
11. Giona M., and Roman H.E. Fractional diffusion equation on fractals: one-dimensional case and asymptotic behavior. J. Phys. A: Math. Gen. 25 (1992) 2093-2105
12. Roman H.E., and Giona M. Fractional diffusion equation on fractals: three-dimensional case and scattering function. J. Phys. A: Math. Gen. 25 (1992) 2107-2117
13. Zeng Q., and Li H. Diffusion equation for disordered fractal media. Fractals 8 1 (2000) 117-121
14. Scalas E., Gorenflo R., Mainardi F., and Raberto M. Revisiting the derivation of the fractional diffusion equation. Fractals 11 (2003) 281-289
15. Agrawal O.P. Solution for a fractional diffusion-wave equation defined in a bounded domain. Nonlinear Dynam. 29 (2002) 145-155
16. D.N. Gerasimov, V.A. Kondratieva, M.N. Rudavina, O.A. Sidorenko, To the theory of heat and mass transfer in non-regular media, in: Proc. 4th National Conference on Heat Transfer, vol. 8, pp. 55-58 (in Russian).