Fractal derivative model for air permeability in hierarchic porous media

Abstract and Applied Analysis

Volumn 2012, Issue , 2012, Pages

  Fan, Jie ^a,b,c,d   He, Jihuan ^b  

^a BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^b SOOCHOW UNIVERSITY   (China)

^c Zhejiang Provincial Key Laboratory of Textile Research and Development   (China)

^d TIANJIN POLYTECHNIC UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84871448093     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/2012/354701     Document Type: Article

References (20)

1. Fan J., Luo Z., Li Y., Heat and moisture transfer with sorption and condensation in porous clothing assemblies and numerical simulation. International Journal of Heat and Mass Transfer 2000 43 16 2989 3000 2-s2.0-0343673793 10.1016/S0017-9310(99)00235-5 ZBL0969.76085 (Pubitemid 30306510)
2. Fan J., Wen X., Modeling heat and moisture transfer through fibrous insulation with phase change and mobile condensates. International Journal of Heat and Mass Transfer 2002 45 19 4045 4055 2-s2.0-0036642117 10.1016/S0017-9310(02)00114-X ZBL1006.76574 (Pubitemid 34792340)
3. Qian X., Fan J., A quasi-physical model for predicting the thermal insulation and moisture vapour resistance of clothing. Applied Ergonomics 2009 40 4 577 590 2-s2.0-64449085579 10.1016/j.apergo.2008.04.022
4. Blossman-Myer B., Burggren W. W., The silk cocoon of the silkworm, Bombyx mori: macro structure and its influence on transmural diffusion of oxygen and water vapor. Comparative Biochemistry and Physiology 2010 155 2 259 263 2-s2.0-72049125345 10.1016/j.cbpa.2009.11.007
5. Weisman S., Trueman H. E., Mudie S. T., Church J. S., Sutherland T. D., Haritos V. S., An unlikely silk: the composite material of green lacewing cocoons. Biomacromolecules 2008 9 11 3065 3069 2-s2.0-57049149130 10.1021/bm8005853
6. Zhang L. Z., A fractal model for gas permeation through porous membranes. International Journal of Heat and Mass Transfer 2008 51 21-22 5288 5295 2-s2.0-51349137083 10.1016/j.ijheatmasstransfer.2008.03.008 ZBL1152.76051
7. Zheng Q., Yu B., Wang S., A diffusivity model for gas diffusion through fractal porous media. Chemical Engineering Science 2012 68 650 655 10.1016/j.ces.2011.10.031
8. 2 from natural gas: a review of conventional and emerging process technologies. Journal of Petroleum Science and Engineering 2012 94-95 9 123 154 10.1016/j.petrol.2012.06.016
9. Gassner M., Baciocchi R., Maréchal F., Mazzotti M., Integrated design of a gas separation system for the upgrade of crude SNG with membranes. Chemical Engineering and Processing 2009 48 9 1391 1404 2-s2.0-70349486905 10.1016/j.cep.2009.07.002
10. Giona M., Adrover A., Schwalm W. A., Schwalm M. K., Exact solution of linear transport equations in fractal media- III. Adsorption and chemical reaction. Chemical Engineering Science 1996 51 22 5065 5076 2-s2.0-0030579948 10.1016/0009-2509(96)00309-0
11. Shi Y., Wu H., Quan S., Xiao J., Pan M., Fractal model for predicting the effective binary oxygen diffusivity of the gas diffusion layer in proton exchange membrane fuel cells. Journal of Power Sources 2010 195 15 4865 4870 2-s2.0-77950299223 10.1016/j.jpowsour.2010.01.080
12. Wu R., Liao Q., Zhu X., Wang H., A fractal model for determining oxygen effective diffusivity of gas diffusion layer under the dry and wet conditions. International Journal of Heat and Mass Transfer 2011 54 19-20 4341 4348 2-s2.0-79959716764 10.1016/j.ijheatmasstransfer.2011.05.010 ZBL1227.76058
13. Mandelbrot B. B., The Fractal Geometry of Nature 1983 New York, NY, USA W. H. Freeman and Company 665254 ZBL0504.28001
14. Chen W., Sun H., Zhang X., Korošak D., Anomalous diffusion modeling by fractal and fractional derivatives. Computers and Mathematics with Applications 2010 59 5 1754 1758 2-s2.0-76449111034 10.1016/j.camwa.2009.08.020 ZBL1189.35355
15. Shou D., Fan J., Ding F., A difference-fractal model for the permeability of fibrous porous media. Physics Letters A 2010 374 10 1201 1204 2-s2.0-74449093354 10.1016/j.physleta.2010.01.002 ZBL1236.76070
16. Qassim M. D., Furati K. M., Tatar N.-E., On a differential equation involving Hilfer-Hadamard fractional derivative. Abstract and Applied Analysis 2012 2012 17 391062 2926900
17. Ashyralyev A., A note on fractional derivatives and fractional powers of operators. Journal of Mathematical Analysis and Applications 2009 357 1 232 236 2526823 ZBL1175.26004 10.1016/j.jmaa.2009.04.012
18. Wang Q., He J., Li Z., Fractional model for heat conduction in polar bear hairs. Thermal Science 2011 15 1 5 10.2298/TSCI101004084K
19. Chen W., Time-space fabric underlying anomalous diffusion. Chaos, Solitons and Fractals 2006 28 4 923 929 2-s2.0-27744450698 10.1016/j.chaos.2005. 08.199 ZBL1098.60078 (Pubitemid 41607590)
20. He J. H., A new fractal derivation. Thermal Science 2011 15 supplement 1 S145 S147 2-s2.0-79955145165 10.2298/TSCI11S1145H