Lubrication theory for a fibre suspension Part 1: Pressure-driven flow in a planar channel having slowly-varying cross-section

Journal of Non-Newtonian Fluid Mechanics

Volumn 71, Issue 1-2, 1997, Pages 109-136

  Sykes, P ^a   Rallison, J M ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Fibre suspension; Lubrication theory; Stagnant zone

Indexed keywords

CALCULATIONS; CHANNEL FLOW; LUBRICATION; SUSPENSIONS (FLUIDS); VISCOSITY OF LIQUIDS;

FIBRE SUSPENSION; LUBRICATION THEORY; PLANAR CHANNEL; STAGNANT ZONE;

FLUID MECHANICS;

CHANNELS; FLOW SEPARATION; LUBRICATION-THEORY; SUSPENSIONS;

EID: 0031194638     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(97)00014-1     Document Type: Article

References (17)

1. J.M. Rallison, E.J. Hinch, Do we understand the physics in the constitutive equation?, J. Non-Newtonian Fluid Mech. 29 (1988) 37-55.
2. J.G. Evans, The flow of a suspension of force-free rigid rods in a Newtonian fluid, Ph.D. Thesis, University of Cambridge, 1975.
3. G.G. Lipscomb, M.M. Denn, D.U. Hur, D.V. Boger, The flow of fiber suspensions in complex geometries, J. Non-Newtonian Fluid Mech. 26 (1988) 297-325.
4. G.K. Batchelor, The stress generated in a non-dilute suspension of elongated particles by pure straining motion, J. Fluid Mech. 46 (1971) 813-829.
5. J. Mewis, A.B. Metzner, The rheological properties of suspensions of fibres in Newtonian fluids subjected to extensional deformations, J. Fluid Mech. 62 (1974) 593-600.
6. A. Mongruel, M. Cloitre, Extensional flow of semi-dilute suspensions of rod-like particles through an orifice, Phys. Fluids A 7 (11) (1995) 2546-2552.
7. J.M. Rallison, R.A. Keiller, Sink flows of a suspension of rigid rods, Part 2: Lubrication theory, J. Non-Newtonian Fluid Mech. 48 (1993) 237-259.
8. J.G. Evans, The effect of non-Newtonian properties of a suspension of rod-like particles on flow fields, in: J.F. Hutton, J.R. A. Pearson and K. Walters (Eds.), Theoretical Rheology, Applied Science Publishers, London, 1975, pp. 224-232.
9. 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.
10. N. Phan-Thien, R. Zheng, A.L. Graham, The flow of a model suspension fluid past a sphere, J. Stat. Phys. 62 (1991) 1173-1195.
11. S. Pilitsis, A.N. Beris, Calculations of steady-state viscoelastic flow in an undulating tube, J. Non-Newtonian Fluid Mech. 31 (1989) 231-287.
12. J.A. Deiber, W.R. Schowalter, Modelling the flow of viscoelastic fluids through porous media, A.I.Ch.E. J. 27 (6) (1981) 912-920.
13. N. Phan-Thien, M.M.K. Khan, Flow of an Oldroyd-type fluid through a sinusoidally corrugated tube, J. Non-Newtonian Fluid Mech. 24 (1987) 203-220.
14. R.A. Keiller, Non-Newtonian extensional flows, Ph.D. Thesis, University of Cambridge, 1991.
15. P. Sykes, Lubrication Flows of Semi-dilute Fibre Suspensions, Ph.D. Thesis, University of Cambridge, 1996.
16. K. Walters and H.A. Barnes, Anomalous extensional-flow effects in the use of commercial viscometers, in G. Astarita, G. Marrucci and L. Nicolais (Eds.), Rheology, Vol. I, Principles, Plenum Press, NY, 1980, pp. 45-62.
17. P. Sykes and J.M. Rallison, Lubrication theory for a fibre suspension. Part 2: flow in a journal bearing, J. Non-Newtonian Fluid Mech., 71 (1997) 137-159.