Collapse and growth of cavity regions in granular media due to viscous flow

Physics of Fluids

Volumn 18, Issue 12, 2006, Pages

  Sano, Osamu ^a   Nagata, Yusaku ^b  

^a TOKYO UNIVERSITY OF AGRICULTURE AND TECHNOLOGY   (Japan)

^b OPEN UNIVERSITY OF JAPAN   (Japan)

Author keywords

Flow simulation; Granular flow; Granular materials

Indexed keywords

COMPUTER SIMULATION; GRANULAR MATERIALS; MATHEMATICAL MODELS; VELOCITY; TWO PHASE FLOW; VISCOUS FLOW;

FLOW SIMULATION; GRANULAR FLOW; TWO-FLUID MODEL; CAVITY REGIONS; GRANULAR MEDIA; LOCAL VELOCITY; NETWORK FORMATION; TWO FLUID MODEL; UPSTREAM DIRECTION; WATER CHANNELS;

VISCOUS FLOW; GRANULAR MATERIALS;

COMPUTER SIMULATION; GRANULAR MATERIALS; MATHEMATICAL MODELS; VELOCITY; VISCOUS FLOW;

EID: 33846068512     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2396931     Document Type: Article

References (25)

1. M. Muskat, Flow of Homogeneous Fluids Through Porous Media (McGraw-Hill, New York, 1937).
2. A. E. Scheidegger, The Physics of Flow through Porous Media (University of Toronto Press, Toronto, 1960).
3. M. E. Harr, Groundwater and Seepage (McGraw-Hill, New York, 1962).
4. H. Brenner, "Rheology of two-phase systems," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fl.02.010170.001033 2, 137(1970).
5. G. K. Batchelor, "Transport properties of two-phase materials with random structure," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/ annurev.fl.06.010174.001303 6, 227(1974).
6. D. A. Drew, "Mathematical modeling of two-phase flow," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fl.15.010183.001401 15, 261(1983).
7. O. Sano, "Viscous flow past a cylindrical hole bored inside porous media-with application to measurement of the velocity of subterranean water by the single boring method," Nagare NAGAE90286-3154 2, 252(1983) (in Japanese).
8. H. C. Brinkman, "A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles," Appl. Sci. Res., Sect. A ASRAA90365-713210.1063/1.1312272 1, 27(1947).
9. P. Debye and A. M. Bueche, "Intrinsic viscosity, diffusion and sedimentation rate of polymers in solution," J. Chem. Phys.J CPSA60021-960610.1063/1.1746948 16, 573(1948).
10. C. K. W. Tam, "The drag on a cloud of spherical particles in low Reynolds number flow," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112069000322 38, 537(1969).
11. S. Childress, "Viscous flow past a random array of spheres," J. Chem. Phys. JCPSA60021-960610.1063/1.1677576 56, 2527(1972).
12. K. Momii, K. Jinno, T. Ueda, H. Motomura, F. Hirano, and T. Honda, "Experimental study on groundwater flow in a borehole," J. Groundwater Hydrol. 31, 13(1989).
13. G. P. Raja Sekhar and O. Sano, "Viscous flow past a circular/ spherical void in porous media-An application to measurement of the velocity of groundwater by the single boring method," J. Phys. Soc. Jpn. JUPSAU0031-901510.1143/JPSJ.69.2479 69, 2479(2000).
14. G. P. Raja Sekhar and O. Sano, "Two-dimensional viscous flow past a slightly deformed circular cavity in a porous media," Fluid Dyn. Res. FDRSEH0169-598310.1016/S0169-5983(00)00033-2 28, 281(2001).
15. G. P. Raja Sekhar and O. Sano, "Two-dimensional viscous flow in a granular material with a void of arbitrary shape," Phys. Fluids PHFLE61070-663110.1063/1.1536165 15, 554(2003).
16. H. Yano, A. Kieda, and I. Mizuno, "The fundamental solution of Brinkman's equation in two dimensions," Fluid Dyn. Res. FDRSEH0169-598310.1016/0169-5983(91)90051-J 7, 109(1991).
17. Y. Kaneko and O. Sano, "Experimental study on the interaction of two two-dimensional circular holes placed in a uniform viscous flow in a porous medium," Fluid Dyn. Res. FDRSEH0169-598310.1016/ S0169-5983(02)00139-9 32, 15(2003).
18. O. Sano and G. P. Raja Sekhar, "Collapse of void region and network formation of water in a granular material due to viscous fluid," in Proceedings of the Ninth Asian Congress on Fluid Mechanics (Isfahan, Iran, 2002), p. 105.
19. O. Sano, "Collapse and growth of cavity in a granular material due to viscous flow," Theor Appl. Mech. ZZZZZZ0285-6042 52, 91(2003).
20. O. Sano, "Collapse of cavity regions in a granular material due to viscous flow," Comput. Fluid Dyn. J. ZZZZZZ0918-6654 13, 515(2004).
21. O. Sano, Y. Kaneko, and Y. Nagata, "Collapse and growth of cavity region and network formation in a granular mterial due to viscous fluid," in Proceedings of the 10th Asian Congress on Fluid Mechanics (Peradeniya, Sri Lanka, 2004), p. 751.
22. O. Sano and Y. Kaneko, "Onset of collapse and growth of cavity region in a granular material due to viscous flow," in Powders and Grains, edited by R. Garcia-Rojo, H. J. Herrmann, and S. McNamara (Taylor & Francis, London, 2005), p. 1043.
23. Y. Kaneko and O. Sano, "Collapse and merging of cavity regions in a granular material due to viscous flow," Phys. Fluids PHFLE61070-663110.1063/1.1850148 17, 033102(2005).
24. T. B. Anderson and R. Jackson, "A fluid mechanical description of fluidized bed," Ind. Eng. Chem. Fundam. IECFA70196-431310.1021/ i160024a007 6, 527(1967).
25. S. Ergun, "Fluid flow through packed columns," Chem. Eng. Prog. CEPRA80360-7275 48, 89(1952).