Hydrodynamics of fractal continuum flow.

作者: Alexander S. Balankin , Benjamin Espinoza Elizarraraz

DOI: 10.1103/PHYSREVE.85.025302

关键词:

摘要: … operators allied to the Hausdorff derivative introduced in Ref. [17]. It is worth noting that a fractal with metric (mass) dimension D < 3 cannot continuously fill the embedding Euclidean …

参考文章(57)
T. E. Faber, Fluid Dynamics for Physicists Cambridge University Press. ,(1995) , 10.1017/CBO9780511806735
Paul N. Demmie, Martin Ostoja-Starzewski, Waves in Fractal Media Journal of Elasticity. ,vol. 104, pp. 187- 204 ,(2011) , 10.1007/S10659-011-9333-6
Ji Tian, Deng-ke Tong, The Flow Analysis of Fiuids in Fractal Reservoir with the Fractional Derivative Journal of Hydrodynamics. ,vol. 18, pp. 287- 293 ,(2006) , 10.1016/S1001-6058(06)60005-X
Wen Chen, Hongguang Sun, Xiaodi Zhang, Dean Korošak, Anomalous diffusion modeling by fractal and fractional derivatives Computers & Mathematics With Applications. ,vol. 59, pp. 1754- 1758 ,(2010) , 10.1016/J.CAMWA.2009.08.020
P. M. Adler, Transport processes in fractals. VI. Stokes flow through Sierpinski carpets Physics of Fluids. ,vol. 29, pp. 15- 22 ,(1986) , 10.1063/1.865971
J. A. Barker, A generalized radial flow model for hydraulic tests in fractured rock Water Resources Research. ,vol. 24, pp. 1796- 1804 ,(1988) , 10.1029/WR024I010P01796
H. P. Huinink, M. A. J. Michels, Influence of buoyancy on drainage of a fractal porous medium Physical Review E. ,vol. 66, pp. 046301- ,(2002) , 10.1103/PHYSREVE.66.046301
Qinghe Wang, Dengke Tong, The Flow Analysis of Viscoelastic Fluid with Fractional Order Derivative in Horizontal Well Transport in Porous Media. ,vol. 81, pp. 295- 303 ,(2010) , 10.1007/S11242-009-9401-6
Alexander S. Balankin, S. Matías Gutierres, D. Samayoa Ochoa, J. Patiño Ortiz, B. Espinoza Elizarraraz, C. L. Martínez-González, Slow kinetics of water escape from randomly folded foils Physical Review E. ,vol. 83, pp. 036310- ,(2011) , 10.1103/PHYSREVE.83.036310
V. V. Mourzenko, J.-F. Thovert, P. M. Adler, PERCOLATION AND CONDUCTIVITY OF SELF-AFFINE FRACTURES Physical Review E. ,vol. 59, pp. 4265- 4284 ,(1999) , 10.1103/PHYSREVE.59.4265