Numerical analysis of the coupling between the flow kinematics and the fiber orientation in eulerian simulations of dilute short fiber suspensions flows

Canadian Journal of Chemical Engineering

Volumn 80, Issue 6, 2002, Pages 1107-1114

  Chinesta, Francisco ^a,b   Poitou, Arnaud ^c  

^a CNRS   (France)

^b University of Paris Cité   (France)

^c SORBONNE UNIVERSITÉ   (France)

Author keywords

Fokker Planck equation; Quadratic closure relation; Short fiber suspensions; Transport equation

Indexed keywords

COMPUTER SIMULATION; GALERKIN METHODS; KINEMATICS; STRESS ANALYSIS; SUSPENSIONS (FLUIDS);

FLOW KINEMATICS;

FLUID DYNAMICS;

DILUTION; FIBER; KINEMATICS; MATHEMATICAL ANALYSIS; ORIENTATION; SUSPENSION;

ARTICLE; CALCULATOR; FIBER; FINITE ELEMENT ANALYSIS; FLOW KINETICS; KINEMATICS; MATHEMATICAL ANALYSIS; SHEAR FLOW; SHEAR STRESS; SIMULATION; SUSPENSION;

COUPLING; FIBER FLOW; FIBER ORIENTATION; MATHEMATICAL ANALYSIS; MODEL;

EID: 0037600560     PISSN: 00084034     EISSN: None     Source Type: Journal    
DOI: 10.1002/cjce.5450800612     Document Type: Article

References (23)

1. Advani, S.G. and C.L. Tucker III, "Closure Approximations for Three-dimensional Structure Tensors", J. Rheol. 34, 367-386 (1990).
2. Altan, M.C., S.I. Guçeri, and R.B. Pipes, "Anisotropic Channel Flow of Fiber Suspensions", J. Non-Newt. Fluid Mech. 42, 65-83 (1992).
3. Ausias, G., "Étude de l'Extrusion de Tubes en Polymères Thermoplastiques Chargés de Fibres Courtes", PhD Thesis, ENSMP, Paris, France (1991).
4. Azaiez, J., R. Guénette, and A. Ait-Kadi, "Investigation of the Abrupt Contraction Flow of Fiber Suspensions in Polymeric Fluids", J. Non-Newtonian Fluid Mech. 73, 289-316 (1997).
5. Batchelor, G.K. "Slender-body Theory for Particles of Arbitrary Cross-section in Stokes Flow", J. Fluid Mech. 44, 419-440 (1970).
6. Batchelor, G.K. "The Stress Generated in Non-Dilute Suspensions in Elongated Particles by Pure Straining Motion", J. Fluid Mech. 46, 813-829 (1971).
7. Chiba, K., K. Nakamura and D.V. Boger, "A Numerical Solution for the Flow of Dilute Fiber Suspensions Through an Axisymmetric Contraction", J. Non-Newtonian Fluid Mech. 35, 1-14 (1990).
8. Chiba, K. and K. Nakamura, "Numerical Solution of Fiber Suspensions Flow Through a Complex Channel", J. Non-Newtonian Fluid Mech. 78, 167-185 (1998).
9. Chinesta, F., A. Poitou and R. Torres, "Numerical Prediction of the Fiber Orientation in Steady Flows", Revue Européenne des Eléments Finis 8(4), 355-374 (1999).
10. Chinesta, F., A. Poitou and R. Torres, "A Semi-Lagrangian Strategy to Predict the Fiber Orientation in Steady Flows of Reinforced Thermoplastics", Comput. Methods Appl. Mech. Eng. 189, 233-247 (2000).
11. Chinesta, F. and G. Chaidron, "On the Steady Solution of Linear Advection Equations in Steady Recirculating Flows", J. Non-Newtonian Fluid Mech. 98, 65-80 (2001).
12. Dinh, S.M. and R.C. Armstrong, "A Rheological Equation of State for Semi-Concentrated Fiber Suspensions", J Rheol. 28, 207-227 (1984).
13. Folgar, F. and C.L. Tucker III, "Orientation Behaviour of Fibers in Concentrated Suspensions", J. Reinf. Plast. Composites 3, 98-119 (1984).
14. Givler, C., M.J. Crochet and R.P. Pipes, "Numerical Prediction of Fiber Orientation in Dilute Suspensions", J. Compos. Mater. 17, 330-343 (1983).
15. Hand, G.L., "A Theory of Anisotropic Fluids", J. Fluid Mech. 13, 33-46 (1962).
16. Hinch, E.J. and L.G. Leal, "Constitutive Equations in Suspension Mechanics. Part I", J. Fluid Mech. 71, 481-495 (1975).
17. Hinch, E.J. and L.G. Leal, "Constitutive Equations in Suspension Mechanics. Part II", J. Fluid Mech. 76, 187-208 (1976).
18. Lipscomb, G.G., M.M. Denn, D.U. Hur and D.V. Boger, "The Flow of Fiber Suspensions in Complex Geometries", J. Non-Newt. Fluid Mech. 26, 297-325 (1988).
19. Meslin, F. and A. Poitou, "Viscosité en Cisaillement d'un Composite Fibres Courtes à l'État Fondu", C.R. Acad. Sci. Paris 327, 559-565 (1999).
20. Poitou, A., F. Chinesta and R. Torres, "Numerical Simulation of the Steady Recirculating Flows of Fibers Suspensions", J. Non-Newtonian Fluid Mech. 90, 65-80 (2000).
21. Rosenberg, J., M.M. Denn and R. Keunings, "Simulation of Non-Recirculating Flows of Dilute Fiber Suspensions", J. Non-Newtonian Fluid Mech. 37, 317-345 (1990).
22. Souloumiac, B. "Étude Rhéologique, Modélisation et Simulation Numérique de l'Écoulement des Thermoplastiques Chargés de Fibres Courtes", PhD Thesis, ENSMP, Paris, France (1996).
23. Townsend, R and K. Walters, "Expansion Flows of Non-Newtonian Liquids", Chem. Eng. Sci. 49(5), 749-763 (1993).