Numerical simulations of non-stationary flows of non-Newtonian fluids between concentric and eccentric cylinders by stream-tube method and domain decomposition

Rheologica Acta

Volumn 47, Issue 5-6, 2008, Pages 609-620

  Grecov, Dana ^a   Clermont, Jean Robert ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b UNIV GRENOBLE ALPES   (France)

Author keywords

Concentric and eccentric cylinders; Domain decomposition; Non Newtonian fluids; Stream tube method; Unsteady flows

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; NON NEWTONIAN FLOW; RHEOLOGY; UNSTEADY FLOW; VORTEX FLOW;

EID: 46549089955     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00397-007-0252-1     Document Type: Conference Paper

References (24)

1. Beris AN, Armstrong RC, Brown RA (1984) Finite element calculation of viscoelastic flow in a journal bearing: I. Small eccentricities. J Non Newtonian Fluid Mech 16:141-172
2. Beris AN, Armstrong RC, Brown RA (1987) Spectral/finite element calculations of the flow of a Maxwell fluid between eccentric cylinders. J Non Newtonian Fluid Mech 22:129-167
3. Bird RB, Armstrong RC, Hassager O (1987) Dynamics of polymer liquids. Wiley, New York
4. Chawda A, Agousti M (1996) Stability of viscoelastic flow between eccentric rotating cylinders. J Non Newtonian Fluid Mech 63:97-112
5. Clermont JR (1988) Analysis of incompressible three-dimensional flows using the concept of stream tubes in relation with a transformation of the physical domain. Rheol Acta 27:357
6. Clermont JR, de la Lande M-E (1993) Calculation of main flows of a memory integral fluid in an axisymmetric contraction at high Weissenberg numbers. J Non Newtonian Fluid Mech 46:89-110
7. Collins D, Savage MD, Taylor CM (1986) The influence of fluid inertia on the stability of a plain journal bearing incorporating a complete oil film. J Fluid Mech 168:415-430
8. Gourdin A, Boumahrat M (1989) Méthodes numériques appliquées. Technique et Documentation. Editions Lavoisier, Paris
9. Grecov Radu D, Normandin M, Clermont JR (2002) A numerical approach for computing flows by local transformations and domain decomposition using an optimization algorithm. Comput Methods Appl Mech Eng 191(39-40):4401-4419
10. Gwynllyw DR, Davies AR, Phillips TN (1996) A moving spectral element approach to the dynamically loaded journal bearing problem. J Comput Phys 123:476-494
11. Huang X, Phan-Thien N, Tanner RI (1996) Viscoelastic flow between eccentric rotating cylinders: Unstructured control volume method. J Non Newtonian Fluid Mech 64:71-92
12. Jung H, Choi JW, Park CG (2004) Asymmetric flows of non-Newtonian fluids in symmetric stenosed artery. Korea-Australia Rheology Journal 16(2):101-108
13. Levenberg K (1944) A method for the solution of certain nonlinear problems in least squares. Quart Appl Math 2:144-168
14. Li XK, Gwynllyw DR, Davies AR, Phillips TN (2000) On the influence of lubricant properties on the dynamics of two-dimensional journal bearings. J Non Newtonian Fluid Mech 93:29-59
15. Liu G-T, Wang X-J, Ai B-Q, Liu L-G (2004) Numerical study of pulsating flow through a tapered artery with stenosis. Chin J Phys 42(4-I)
16. Marquardt DW (1963) An algorithm for least squares estimation of non-linear parameters. SIAM J Appl Math 11:431-441
17. Mori N, Wakabayashi T, Horikawa A, Nakamura K (1984) Measurements of pulsating and oscillating flows of non-Newtonian fluids through concentric and eccentric cylinders. Rheol Acta 23:508-513
18. Normandin M, Clermont JR, Guillet J, Raveyre C (1999) Three-dimensional extrudate swell. Experimental and numerical study of a polyethylene melt obeying a memory-integral equation. J Non Newtonian Fluid Mech 87:1-25
19. Normandin M, Radu D, Clermont JR, Mahmoud A (2002) Finite element and stream tube formulations for computing flows with slip or free surfaces. Mathematics and Computers in Simulation 60(1-2):129-134
20. Oshima M, Torii R, Kobayash T, Taniguchi N, Takag K (2001) Finite element simulation of blood flow in the cerebral artery. Comput Methods Appl Mech Eng 191:661-671
21. Phan-Thien N, Dudek J (1982) Pulsating flow revisited. J Non Newtonian Fluid Mech 11:147-161
22. Steller R (1993) A new approach to the pulsating and oscillating flows of viscoelastic liquids in channels. Rheol Acta 32(2):192-205
23. Tu C, Deville M (1996) Pulsatile flow of non-Newtonian fluids through arterial stenoses. J Biomechanics 29(7):899-908
24. Williamson BP, Walters K, Bates TW, Coy RC, Milton AL (1997) The viscoelastic properties of multigrade oils and their effect on journal bearing characteristics. J Non Newtonian Fluid Mech 73:115-126