Toward the computational rheometry of filled polymeric fluids

다국어 초록 (Multilingual Abstract)

We present a short review for authors' previous work on direct numerical simulations for inertialess hard particle suspensions formulated either with a Newtonian fluid or with viscoelastic polymeric fluids to understand the microstructural evolution and the bulk material behavior. We employ two well-defined bi-periodic domain concepts such that a single cell problem with a small number of particles may represent a large number of repeated structures: one is the sliding bi-periodic frame for simple shear flow and the other is the extensional bi-periodic frame for planar elongational flow. For implicit treatment of hydrodynamic interaction between particle and fluid, we use the finite-element/fictitious-domain method similar to the distributed Lagrangian multiplier (DLM) method together with the rigid ring description. The bi-periodic boundary conditions can be effectively incorportated as constraint equations and implemented by Lagrangian multipliers. The bulk stress can be evaluated by simple boundary integrals of stresslets on the particle boundary in such formulations. Some 2-D example results are presented to show effects of the solid fraction and the particle configuration on the shear and elongational viscosity along with the micro-structural evolution for both particles and fluid. Effects of the fluid elasticity has been also presented.

참고문헌 (Reference)

1 "hp submeshing via non-conforming finite element methods" 189 : 1011-1030, 2000

2 "Viscoelastic mobility problem of a system of particles" 104 : 87-124, 2002

3 "Viscoelastic mobility problem of a system of particles" 104 : 87-124, 2002

4 "The stress system in a suspension of force-free particles J" 545-570, 1970

5 "The normal stress behaviour of suspensions with viscoelastic matrix fluids" 41 : 61-76, 2002

6 "The influence of flow-induced crystallization on the impact toughness of high-density polyethylene" 185 : 89-102, 2002

7 "The computer study of transport processes under extreme conditions" 19721921-1929

8 "The characterization of the steady-state shear and normal stress functions of highly concentrated suspensions formulated with viscoelastic liquids" 381-406, 1993

9 "The Einstein viscosity correction in n dimensions" 113-114, 1984

10 "Rheology of a suspension of particles in viscoelastic fluids" 96 : 423-443, 2001

11 "Rheology and microstructure in concetrated noncolloidal suspensions" 46 : 1031-1056, 2002

12 "Numerical simulations of elliptic particle suspensions in sliding bi-periodic frames" 17 : 171-180, 2005

13 "Molecular dynamics simulations of extensional" 15-27, 1985

14 "Mixed finite element methods for viscoelastic flow analysis: a review" 79 : 361-385, 1998

15 "Flow-induced structure in colloidal suspensions" 17 : 2005

16 "Extensional motions of spatially periodic lattices" 1045-1059, 1992

17 "Experimental investigations of shear and elongational flow properties of polystylene melts reinforced with calcium carbonate" 949-956, 1980

18 "Direct simulation of particle suspensions in sliding bi-periodic frames" 194 : 742-772, 2004a

19 "Direct simulation of particle suspensions in a viscoelastic fluid in sliding bi-periodic frames" 121 : 15-33, 2004b

20 "Direct numerical simulations of suspensions of spherical particles in a viscoelastic fluid in sliding tri-periodic domains" 2004

21 "Direct numerical simulations of hard particle suspensions in planar elongational flow" 136 : 167-178, 2006

22 "Chaotic advection in a cavity flow with rigid particles" 17 : 2005

23 "A new mixed finite element method for computing viscoelastic flows" 60 : 27-52, 1995

24 "A new formulation of the distributed Lagrangian multipliers/fictitious domain method for particulate flows" 26 : 1509-1524, 2000

25 "A new approach for the FEM simulation of viscoelastic flows" 295-310, 1989

26 "A distributed Lagrangian multiplier/fictitious domain method for particulate flows" 25 : 755-749, 1999