Flows of viscoplastic materials: Models and computations

Computers and Structures

Volumn 64, Issue 1-4, 1997, Pages 677-694

  Papanastasiou, T C ^a   Boudouvis, A G ^b  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; FLOW OF SOLIDS; ITERATIVE METHODS;

GALERKIN METHOD;

VISCOPLASTICITY;

EID: 0031192632     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(96)00167-8     Document Type: Article

References (26)

1. E. C. Bingham, Fluidity and Plasticity. McGraw-Hill, New York (1922).
2. R. B. Bird, G. G. Dai and B. J. Yarusso, The rheology and flow of viscoplastic materials. Rev. Chem. Engng 1, 1-70 (1982).
3. A. B. Metzner, Rheology of suspensions in polymer liquids. J. Rheol. 29, 739-772 (1985).
4. Z. Ji and A. D. Gotsis, Numerical study of slip at the walls in the extruder. Int. Polym. Process. 7, 132-139 (1992).
5. J. L. White, Y. Wang, A. I. Isayev, N. Nakajima, F. C. Weissert and K. Min, Modeling of shear viscosity behavior and extrusion through dies for rubber compounds. Rubber Chem. Technol. 60, 337-358 (1986).
6. N. Q. Dzuy and D. V. Boger, Direct yield stress measurement with the vane method. J. Rheol. 29, 335-347 (1985).
7. Z. Lou, R. D. Ervin and F. E. Filisko, The influence of viscometer dynamics on the characterization of an electrorheological fluid under sinusoidal electric excitation. J. Rheol. 37, 55-70 (1993).
8. Z. Lou and W.-J. Yang, Computer simulation of the non-Newtonian blood flow at the aortic bifurcation. J. Biomech. 26, 37-49 (1993).
9. C. Dorier and A. Tichy, Behavior of a Bingham-like viscous liquid in lubrication flows. J. Non-Newtonian Fluid Mech. 45, 291-310 (1992).
10. A. N. Beris, J. A. Isamopoulos, R. C. Armstrong and R. A. Brown, Creeping motion of a sphere through a Bingham plastic. J. Fluid Mech. 158, 219-244 (1985).
11. D. K. Gartling and N. Phan-Thien, A numerical simulation of a plastic fluid in a parallel-plate plastometer. J. Non-Newtonian Fluid Mech. 14, 347-360 (1984).
12. E. J. O'Donovan and R. I. Tanner, Numerical study of the Bingham squeeze film problem. J. Non-Newtonian Fluid Mech. 15, 75-84 (1984).
13. M. Bercovier and M. Engleman, A finite-element method for incompressible non-Newtonian flows. J. Comput. Phys. 36, 313-326 (1980).
14. T. C. Papanastasiou, Flows of materials with yield. J. Rheol. 31, 385-404 (1987).
15. K. R. J. Ellwood, G. C. Georgiou, T. C. Papanastasiou and J. O. Wilkes, Laminar jets of Bingham-plastic liquids. J. Rheol. 34, 787-812 (1990).
16. H. A. Barnes and K. Walters, The yield stress myth. Rheol. Acta 24, 323-326 (1985).
17. G. Astarita. The engineering reality of the yield stress. J. Rheol. 34, 275-277 (1990).
18. P. Doremus and J. M. Piau, Yield stress fluid. Structural model and transient shear flow behaviour. J. Non-Newtonian Fluid Mech. 39, 335-352 (1991).
19. S. Abdali, E. Mitsoulis and N. C. Markatos, Entry and exit flows of Bingham fluids. J. Rheol. 36, 389-407 (1992).
20. E. Mitsoulis, S. Abdali and N. C. Markatos, Flow simulation of Herschel-Bulkley fluids through extrusion dies. Can. J. Chem. Engng 77, 147-160 (1993).
21. C. R. Beverly and R. I. Tanner, Numerical analysis of three-dimensional Bingham plastic flow. J. Non-Newtonian Fluid Mech. 42, 85-115 (1992).
22. C. W. Hirt and B. D. Nichols, Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39, 201-225 (1981).
23. J. R. Richards, A. N. Beris and A. M. Leuhoff, Steady laminar flow of liquid-liquid jets at high Reynolds numbers. Phys. Fluids A 5, 1703-1717 (1993).
24. L. C. Walton and S. H. Bittleston, The axial flow of a Bingham plastic in a narrow eccentric annulus. J. Fluid Mech. 222, 39-40 (1991).
25. W. H. Beyer, Handbook of Mathematical Sciences, 5th Edn. CRC Press, West Palm Beach, FL (1978).
26. G. Strang and G. J. Fix, An Analysis of the Finite Element Method. Prentice-Hall, Englewood Cliffs, NJ (1973).