Authors

Abstract

In this study, drying process is modeled in porous media using random walk theory. In this line, first the effect of microscopic quantities derived from random walk theory has been studied on drying rate. Then, the relationship between drying rate and moisture content is obtained taking convection into account. The results obtained in this study indicates the effect of convection on the process of drying in porous media.

Keywords

1. S Havlin and D Ben-Avraham, Advances in Physics 51 (2002) 187.
2. M Mehrafarin and M Faghihi, Physica A 301 (2001) 163.
3. A Taloni, A Chechkin, and J Klafter, Phys. Rev. Lett. 104 (2010).160602.
4. A Taloni, A Chechkin, and J Klafter, Phys. Rev. E 82 (2010) 061104.
5. I Podlubny, “Fractional Differential Equations”, Academic Press, San Diego (1999).
6. K B Oldham and J Spanier, “The Fractional Calculus”, Academic Press, New York (1974).
7. K S Miller and B Ross, “An Introduction to the Fractional Calculus and Fractional Differential Equations”, Wiley-Interscience (1993).
8. S G Samko, A A Kilbas, and O I Marichev, “Fractional Integrals and Derivatives”, Gordonand Breach Science Publishers, Amsterdam (1993).
9. R Metzler and J Klafter, Phys. Rep. 339 1 (2000).
10. M Weissman, Rev. Mod. Phys. 60 (1988) 537.
11. M Shlesinger, Annu. Rev. Phys. Chem. 39 (1988) 269
12. G M Zaslavsky, Phys. Rep. 371 (2002) 461.
13. A I Saichev and G M Zaslavsky, Chaos 7 (1997) 753.
14. V V Uchaikin, J. Exper. Theor.Phys. 97 (2003) 810.
15. M M Meerschaert, D A Benson, and B Baeumer, Phys. Rev. E 63 (2001) 021112.
16. V E Tarasov, Phys. Rev. E 71 (2005) 011102.
17. V E Tarasov, J. Phys. A 38, (2005) 5929.
18. N Laskin and G M Zaslavsky, Physica A 368 (2005) 38.
19. V E Tarasov and G M Zaslavsky, Chaos 16 (2006) 023110.
20. A Compte, R Metzler, and J Camacho, Phys. Rev. E 56 (1997) 1445.
21. B J West and P Grigolini, “Complex Webs: Anticipating the Improbable”, Cambridge University Press (2011).
22. F Mainardi and P Pironi, Extracta Mathematicae 11 (1996) 140.
23. I Goychuk, Phys. Rev. E 80 (2009) 046125.
24. J H Jeon and R Metzler, Phys. Rev. E 81 (2010) 021103.
25. K Linkenkaer-Hansen, V V Nikouline, J Matias Palva, and R J Ilmoniemi, The Journal of Neuroscience 21 (2001) 1370.
26. R N Mantegna and H E Stanley, Nature 376 (1995) 46.
27. C K Peng, S Havlin, H E Stanley and A L Goldberger, Chaos 5 (1995) 82.
28. J M Coulsont, and J F Richardson, “Chemical Engineering”, 4th Edition, Pergamon Press, Oxford (1993).
29. H Theliander, “Chemical Engineering Design Advanced Course”, 3rd Edition, Chalmers University of Technology, Gothenburg (1999).
30. J G Salin, Drying Tech. 9 (1991) 775.

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