Start-up of flow of a FENE-fluid through a 4:1:4 constriction in a tube

Journal of Non-Newtonian Fluid Mechanics

Volumn 72, Issue 1, 1997, Pages 73-86

  Szabo, P ^a,b   Rallison, J M ^a   Hinch, E J ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

4:1:4 contraction expansion; FENE; Finite element method; Lagrangian formulation; Viscoelastic flow

Indexed keywords

FINITE ELEMENT METHOD; NON NEWTONIAN FLOW; PIPE FLOW; PRESSURE DROP; VISCOELASTICITY; VORTEX FLOW;

DEBORAH NUMBER; SPLIT LAGRANGIAN EULERIAN FINITE ELEMENT METHOD;

NON NEWTONIAN LIQUIDS;

FINITE ELEMENT METHOD; VISCOELASTIC FLUID;

EID: 0031231271     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(97)00023-2     Document Type: Article

References (11)

1. F. Brezzi, M. Fortin, Mixed and Hybrid Finite Element Methods, Springer Verlag, New York, 1991.
2. U. Cartalos, J.M. Piau, Creeping flow regimes of low concentration polymer solutions in which solvents through an orifice die, J. Non-Newtonian Fluid Mech. 45 (1992) 231-285.
3. M.D. Chilcott, J.M. Rallison, Creeping flow of dilute polymer solutions past cylinders and spheres, J. Non-Newtonian Fluid Mech. 29 (1988) 382-432.
4. J.G. Evans, The effect of the non-Newtonian properties of a suspension of rod-like particles on flow fields, in: J.F. Hutton, J.R.A. Pearson, K. Walters (Eds.), Theoretical Rheology, Applied Science Publishers, London, 1975, pp. 224-232.
5. O.G. Harlen, J.M. Rallison, P. Szabo, A split Lagrangian-Eulerian method for simulating transient viscoelastic flows, J. Non-Newtonian Fluid Mech. 44 (1995) 229-265.
6. G.H. McKinley, W.P. Raiford, R.A. Brown, R.C. Armstrong, Nonlinear dynamics of viscoelastic flow in axisymmetric abrupt contractions, J. Fluid Mech. 223 (1991) 411-456.
7. R.A. Keiller, Entry-flow calculations for the Oldroyd-B and FENE equations, J. Non-Newtonian Fluid Mech. 42 (1993) 143-178.
8. R.A. Keiller, J.M. Rallison, J.G. Evans, Sink flows of a suspension of rigid rods: the failure of a similarity solution, J. Non-Newtonian Fluid Mech. 42 (1992) 249-266.
9. J.M. Marchal, M.J. Crochet, A new mixed finite element for calculating viscoelastic flow, J. Non-Newtonian Fluid Mech. 26 (1987) 77-114.
10. A. Wathen, D. Silvester, Fast iterative solution of stabilised Stokes systems. Part I: Using simple diagonal preconditioners, SIAM J. Numer. Anal. 30 (1993) 630-649.
11. D. Silvester, A. Wathen, Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners, SIAM J. Numer. Anal. 31 (1994) 1352-1367.