Axial flow of generalized viscoplastic fluids in non-circular ducts

Chemical Engineering Communications

Volumn 168, Issue , 1998, Pages 13-43

  Wang, Yeh ^a  

^a TUNGHAI UNIVERSITY   (Taiwan)

Author keywords

Bingham number; Finite element method; Generalized viscoplastic fluid; Variational principle

Indexed keywords

AXIAL FLOW; DUCTS; FINITE ELEMENT METHOD; VARIATIONAL TECHNIQUES; VISCOPLASTICITY; YIELD STRESS;

BINGHAM NUMBER; REGULARIZATION TECHNIQUE; VISCOPLASTIC FLUIDS;

PIPE FLOW;

EID: 0031632014     PISSN: 00986445     EISSN: None     Source Type: Journal    
DOI: 10.1080/00986449808912705     Document Type: Article

References (29)

1. Argon, A. S. (1975) Constitutive Equations in Plasticity, MIT, Cambridge, MA.
2. Atkinson, C. and El-Ali, K. (1992) "Some Boundary Value Problems for the Bingham Model", J. Non-Newtonian Fluid Mech., 41, 339-363.
3. Bercovier, M. and Engelman, M. (1980). "A Finite Element Method for the Incompressible Non-Newtonian Flows", J. Comp. Phys., 36, 313-326.
4. Beris, A. N., Tsamopoulos, J. A., Armstrong, R. C. and Brown, R. A. (1985) "Creeping Motion of a Sphere through a Bingham Plastic", J. Fluid Mech., 158, 219-244.
5. Bingham, E. C. (1922) Fluidity and Plasticity, McGraw-Hill, New York.
6. Bird, R. B., Dai, G. C. and Yarusso, B. J. (1983) "The Rheology and Flow of Viscoplastic Materials", Rev. Chem. Eng., 1, 1-70.
7. Bird, R. B. (1960) "New Variational Principle for Incompressible Non-Newtonian Flow", Phys. Fluids. 3, 539-541.
8. Bittleston, S. H. and Hassager, O. (1992) "Flow of Viscoplastic Fluids in a Rotating Concentric Annulus", J. Non-Newtonian Fluid Mech., 42, 19-36.
9. Bittleston, S. H., Fordham, E. J. and Tehrani, M. A. (1994) in Letters to the Editor, AlChE J., 40, 378-379.
10. Duvaut, G. and Lions, J. L. (1976) Inequalities in Mechanics and Physics, Springer, Berlin.
11. Fordham, E. J., Bittleston, S. H. and Tehrani, M. A. (1991) "Viscoplastic Flow in Centered Annuli, Pipes, and Slotes", Ind. Eng. Chem. Res., 30, 517-524.
12. Glowinski, R., Lions, J. L. and Tremolires, R. (1981) Numerical Analysis of Variational Inequalities, North-Holland, Amsterdam.
13. Gucuyener, H. I. and Mehmetoglu, T. (1992) "Flow of Yield-Pseudo-Plastic Fluids through a Concentric Annulus", AlChE J., 38, 1139-1143.
14. Hohenemser, K. and Prager, W. (1932) "On the Construction of Mechanics of Isotropic Continua", ZAMM, 12, 216-226.
15. Huigol, R. R. and Panizza, M. P. (1995) "On the Determination of the Plug Flow Region in Bingham Fluids through the Application of Variational Inequalities", J. Non-Newtonian Fluid Mech., 58, 207-217.
16. Metzner, A. B. (1985) "Rheology of Suspensions in Polymeric Liquids", J. Rheol, 29, 739.
17. O'Donovan, E. J. and Tanner, R. I. (1984) "Numerical Study of the Bingham Squeeze Film Problem", J. Non-Newtonian Fluid Mech., 15, 75-83.
18. Oldroyd, J. G. (1947) "A Rational Formulation of the Equations of Plastic Flow for a Bingham Solid", Proc. Camb. Phil. Soc., 43, 100-105.
19. Papanastasiou, T. C. (1987) "Flows of Materials with Yield", J. Rheol, 31, 385-404.
20. Prager, W. (1954) "On Slow Viscoplastic Flow", in Studies in Mathematics and Mechanics, pp. 208-216, Academic Press, New York.
21. Reiner, M. (1943) "Ten Lectures on Theoretical Rheology", Th. Rheol., 49, 133.
22. Szabo, Peter and Ole Hassager (1992) "Flow of Viscoplastic Fluids in eccentric annular geometries", J. Non-Newtonian Fluid Mech., 45, 149-169.
23. Tanguy, P. A., Fortin, A. and Bertrand, F. (1991) "On the Imposition of Friction Boundary Conditions for the Numerical Simulation of Bingham Fluid Flows", Comp. Meth. Appl. Mech. Eng., 88, 97-109.
24. Walton, I. C. and Bittleston, S. H. (1991) "The Axial Flow of Bingham Plastic in a Narrow Eccentric Annulus", J. Fluid Mech., 222, 39-60.
25. Taylor, A. J. and Wilson, D. R. (1997) "Conduit Flow of an Incompressible, Yield Stress Fluid", J. Rheol., 41, 93-101.
26. Wang, Yeh (1998) "Finite Element Analysis of the Duct Flow of the Bingham Plastic Fluids - An Application of the Variational Inequality", Inter. J. Num. Meth. Fluids, accepted.
27. White, J. L. (1992) Principles of Polymer Engineering Rheology, Wiley, New York.
28. Zienkiewicz, O. C. and Godbole, P. N. (1975) "Viscous, Incompressible Flow with Special Reference to Non-Newtonian (Plastic) Fluids", in Finite Elements in Fluids, 1, R. H. Gallaghen et al. Eds., Wiley, New York.
29. Zienkiewicz, O. C., Onate, E. and Heinrich, J. C (1981) "A General Formulation for Coupled Thermal Flow of Metals Using Finite Elements", Inter. J. Num. Meth. Eng., 17, 1497-1514.