A Fractal Velocity Model for Ellis Fluid Flow in Porous Media

다국어 초록 (Multilingual Abstract)

In this paper, we present a fractal model for the flow velocity for an Ellis fluid based on thefractal properties of porous media. The proposed expression quantitatively describes the relationbetween the properties of the Ellis fluid and the parameters of the micro structure of the porousmedium. The model prediction is compared with experimental data, and good agreement betweenthem is found. The analytical expression reveals the physical principles for the flow of Ellis fluidsand other non-Newtonian fluids in porous media.

참고문헌 (Reference)

1 H. C. Park., 15 : 761-, 1975

2 H. C. Park, Michigan State University 1972

3 C. D. Tsakiroglou, 105 : 79-, 2002

4 A. J. Katz., 54 : 1325-, 1985

5 G. A. Bayles., 6 : 168-, 1989

6 J. C. Cai., 23 : 1250054-, 2012

7 J. C. Cai., 414 : 228-, 2012

8 B. Q. Xiao., 26 : 6971-, 2012

9 B. Q. Xiao., 53 : 30-, 2010

10 M. J. Yun., 61 : 164704-, 2012

11 M. J. Yun., 29 : 064706-, 2012

12 B. M. Yu, 22 : 158-, 2005

13 B. M. Yu., 45 : 2983-, 2002

14 B. M. Yu., 9 : 365-, 2001

15 B. Zhang., 14 : 171-, 2006

16 T. G. Myers, 72 : 1-, 2002

17 M. T. Balhoff., 61 : 698-, 2006

18 G. W. Govier., "The flow of complex mixtures in pipes" Litton Educational Publishing 143-, 1972