ANALYSIS OF PERMEABILITY FOR ELLIS FLUID FLOW IN FRACTAL POROUS MEDIA

REFERENCES

• Adler , P. M. ( 1996 ). Transports in fractal porous media , J. Hydrol. , 187 , 195 – 213 .
   Web of Science ®Google Scholar
• Adler , P. M. and Thovert , J. F. ( 1998 ). Real porous media: Local geometry and macroscopic properties , Appl. Mech. Rev. , 51 ( 9 ), 537 – 585 .
   Google Scholar
• Balhoff , M. T. and Thompson , K. E. ( 2006 ). A macroscopic model for shear-thinning flow in packed beds based on network modeling , Chem. Eng. Sci. , 61 , 698 – 719 .
   Web of Science ®Google Scholar
• Bostan , M. and Hild , P. ( 2006 ). Starting flow analysis for Bingham fluids , Nonlinear Anal. , 64 ( 5 ), 1119 – 1139 .
   Google Scholar
• Cavatorta , O. N. and Tonini , R. D. ( 1987 ). Dimensionless velocity profiles and parameter maps for non-Newtonian fluids , Int. Commun. Heat Mass Transfer , 14 , 359 – 369 .
   Google Scholar
• Chhabra , R. P. ( 1993 ). Bubbles, Drops, and Particles in Non-Newtonian Fluids , 217 – 297 , CRC Press , Boca Raton , Fla .
   Google Scholar
• Chhabra , R. P. , Comiti , J. , and Machac , I. ( 2001 ). Flow of non-Newtonian fluids in fixed and fluidized beds , Chem. Eng. Sci. , 56 , 1 – 27 .
   Web of Science ®Google Scholar
• Dauben , D. L. ( 1966 ). Non-Newtonian flow through porous media , Ph.D. diss., University of Oklahoma .
   Google Scholar
• Feder , J. ( 1988 ). Fractals , Plenum Press , New York .
   Google Scholar
• Govier , G. W. and Aziz , K. ( 1972 ). The Flow of Complex Mixtures in Pipes , 143 – 144 , Litton , New York .
   Google Scholar
• Harvey , A. H. ( 1968 ). Investigation of the flow of polymer solutions through porous media , Ph.D. diss. , University of Oklahoma .
   Google Scholar
• Ikoku , C. U. and Ramey , H. J. ( 1979 ). Transient flow of non-Newtonian power law fluids in porous media , Soc. Pet. Eng. J. , 19 , 164 – 174 .
   Google Scholar
• Kemblowski , Z. and Michniewicz , M. ( 1979 ). A new look at the laminar flow of power law fluids through granular beds , Rheol. Acta , 18 ( 6 ), 572 – 739 .
   Google Scholar
• Kong , X. Y. , Chen , F. L. , and Chen , G. Q. ( 1999 ). Mathematical models and feature parameters of non-Newtonian liquid flows in porous media , J. China Univ. Sci. Technol. , 29 , 141 – 148 .
   Google Scholar
• Kuzhir , P. , Bossis , G. , Bashtovoi , V. , and Volkova , O. ( 2003 ). Flow of magnetorheological fluid through porous media , Eur. J. Mech. B Fluids , 22 ( 4 ), 331 – 343 .
   Google Scholar
• Liu , T.-J. , Lin , H.-M. , and Hong , C.-N. ( 1988 ). Comparison of two numerical methods for the solution of non-Newtonian flow in ducts , Int. J. Numer. Methods Fluids , 8 , 845 – 861 .
   Web of Science ®Google Scholar
• Mandelbrot , B. B. ( 1982 ). The Fractal Geometry of Nature , Freeman , San Francisco .
   Google Scholar
• Matsuhisa , S. and Bird , R. B. ( 1965 ). Analytical and numerical solutions for laminar flow of the non-Newtonian Ellis fluid , AIChE J. , 11 , 588 – 595 .
   Google Scholar
• Myers , T. G. ( 2002 ). Application of non-Newtonian models to thin film flow , Phys. Rev. E , 72 , 1 – 11 .
   Google Scholar
• Park , H. C. (1972). The flow of non-Newtonian fluids through porous media , Ph.D. diss., Department of Chemical Engineering, Michigan State University.
   Google Scholar
• Park , H. C. , Hawley , M. C. , and Blanks , R. F. ( 1975 ). The flow of non-Newtonian solutiond through packed beds , Polym. Eng. Sci. , 15 ( 11 ), 761 – 773 .
   Web of Science ®Google Scholar
• Sabiri , N. E. and Comiti , J. ( 1995 ). Pressure drop in non-Newtonian purely viscous fluid through porous media , Chem. Eng. Sci. , 50 , 1193 – 1201 .
   Web of Science ®Google Scholar
• Sadowski , T. J. ( 1963 ). Non-Newtonian flow through porous media , Ph.D. Thesis, University of Wisconsin .
   Google Scholar
• Smit , G. J. F. and Du Plessis , J. P. ( 1999 ). Modeling of non-Newtonian purely viscous flow through isotropic high porosity synthetic foams , Chem. Eng. Sci. , 54 , 645 – 654 .
   Google Scholar
• Spelt , P. D. M. , Yeow , A. Y. , Lawrence , C. J. , and Selerland , T. ( 2005 ). Creeping flows of Bingham fluids through arrays of aligned cylinders , J. Non-Newton. Fluid Mech. , 129 ( 2 ), 66 – 74 .
   Google Scholar
• Steller , R. T. ( 2001 ). Generalized slit flow of an Ellis fluid , Polym. Eng. Sci. , 41 , 1859 – 1870 .
   Google Scholar
• Thovert , J. F. , Wary , F. , and Adler , P. M. ( 1990 ). Thermal conductivity of random media and regular fractals , J. Appl. Phys. , 68 , 3872 – 3883 .
   Google Scholar
• Tsakiroglou , C. D. ( 2002 ). A methodology for the derivation of non-Darcian models for the flow of generalized Newtonian fluids in porous media , J. Non-Newton. Fluid Mech. , 105 , 79 – 110 .
   Web of Science ®Google Scholar
• Yu , B. M. ( 2005 ). Fractal character for tortuous streamtubes in porous media , Chin. Phys. Lett. , 22 , 158 – 160 .
   Web of Science ®Google Scholar
• Yu , B. M. and Cheng , P. ( 2002 ). A fractal model for permeability of bi-dispersed porous media , Int. J. Heat Mass Transfer , 45 , 2983 – 2993 .
   Web of Science ®Google Scholar
• Yu , B. M. and Lee , J. H. ( 2001 ). Some fractal characters of porous media , Fractals , 9 , 365 – 372 .
   Web of Science ®Google Scholar
• Yu , B. M. , Lee , L. J. , and Cao , H. Q. ( 2001 ). Fractal characters of pore microstructures of textile fabrics , Fractals , 9 ( 2 ), 155 – 163 .
   Google Scholar