Towards a reliable method for predicting the rheological properties of multiphase fluids

Engineering Analysis with Boundary Elements

Volumn 26, Issue 10, 2002, Pages 861-869

  Mammoli, A A ^a  

^a MSC01 1070   (United States)

Author keywords

Barnes Hut multipole acceleration; Boundary element method; Parallel processing; Rheological properties; Suspensions

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; COSTS; PARALLEL PROCESSING SYSTEMS; SUSPENSIONS (FLUIDS);

MULTIPHASE FLUIDS;

RHEOLOGY;

EID: 0036888124     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(02)00058-9     Document Type: Article

References (18)

1. Batchelor G.K. The stress system in a suspension of force-free particles. J Fluid Mech. 41:1969;545-570.
2. Cooley M.D.A., O'Neill M.E. On the slow motion generated in a viscous fluid by the approach of a sphere to a plane wall or stationary sphere. Mathematika. 16:1969;37-49.
3. Goldman A.J., Cox R.G., Brenner H. The slow motion of two identical arbitrarily oriented spheres through a viscous fluid. Chem Engng Sci. 21:1966;1151-1170.
4. Hou T.Y., Lowengrub J.S., Shelley M.J. Boundary integral methods for multicomponent fluids and multiphase materials. J Comput Phys. 169:2001;302-362.
5. Huang P.Y., Hu H.H., Joseph D.D. Direct simulation of the sedimentation of elliptic particles in Oldroyd-B fluids. J Fluid Mech. 362:1997;297-325.
6. Jeffrey D.J., Onishi Y. The forces and couples acting on two nearly touching spheres in low-Reynolds number flow. ZAMP. 35:1984;634-641.
7. Mammoli A.A., Ingber M.S. Stokes flow around cylinders in a bounded two-dimensional domain using multipole-accelerated boundary element methods. Int J Numer Meth Engng. 44:1999;897-917.
8. Mammoli A.A., Ingber M.S. High performance computing 2000. High performance computing 2000. 2000;WIT Press. p. 137-46.
9. Nott P.R., Brady J.F. Pressure-driven flow of suspensions: Simulations and theory. J Fluid Mech. 275:1994;157-199.
10. Phan-Thien N., Kim S. Microstructures in elastic media - principles and computational methods. 1994;Oxford University Press, New York.
11. Phan-Thien N., Tullock D. Completed double layer boundary element method in elasticity and Stokes flow: Distributed computing through PVM. Comput Mech. 14:1994;370-383.
12. Phillips R.J., Armstrong R.C., Brown R.A., Graham A.L., Abbott J.R. A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration. Phys Fluids A. 4:1992;30-40.
13. Power H., Wrobel L.C. Boundary integral methods in fluid mechanics. 1995;Computational Mechanics Publications.
14. Qi F., Phan-Thien N., Fan X.J. Effective moduli of particulate solids: The completed double layer boundary element method with lubrication approximation. ZAMP. 51:2000;52-113.
15. Takada N., Misawa M., Tomiyama A., Hosokawa S. Simulation of bubble motion under gravity by lattice Boltzmann method. J Nucl Sci Technol. 38:2001;330-341.
16. Telles J.C.F. A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals. Int J Numer Meth Engng. 24:1987;959-973.
17. Telles J.C.F., Oliveira R.F. Third degree polynomial transformation for boundary element integrals: Further improvements. Engng Anal Bound Elem. 13:1994;135-141.
18. Zinchenko A.Z. Effective conductivity of loaded granular materials by numerical simulation. Proc R Soc A. 356:1998;2953-2998.