Flow of a visco-plastic fluid in a channel of slowly varying width

Journal of Non-Newtonian Fluid Mechanics

Volumn 123, Issue 1, 2004, Pages 67-83

  Frigaard, I A ^a   Ryan, D P ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Extensional flows; Lubrication theory; Pseudo plugs; Pseudo yield surfaces; Visco plastic fluids

Indexed keywords

FUNCTIONS; PERTURBATION TECHNIQUES; VISCOPLASTICITY;

RELAXATION; UNIFORM CHANNEL FLOW; VISCO-PLASTIC FLUIDS;

FLOW OF FLUIDS;

CHANNEL FLOW; MATHEMATICAL ANALYSIS; NON-NEWTONIAN FLUID; POISEUILLE FLOW; VISCOPLASTIC FLOW;

EID: 5744230397     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2004.06.011     Document Type: Article

References (30)

1. G.G. Lipscomb M.M. Denn Flow of Bingham fluids in complex geometries J. Non-Newtonian Fluid Mech. 14 1984 337-346
2. I.C. Walton S.H. Bittleston The axial flow of a Bingham plastic in a narrow eccentric annulus J. Fluid Mech. 222 1991 39-60
3. P. Szabo O. Hassager Flow of viscoplastic fluids in eccentric annular geometries J. Non-Newtonian Fluid Mech. 45 1992 149-169
4. G.H. Covey B.R. Stanmore Use of the parallel-plate plastometer for the characterisation of viscous fluids with a yield stress J. Non-Newtonian Fluid Mech. 8 1981 249-260
5. E.J. O'Donovan R.I. Tanner Numerical study of the Bingham squeeze film problem J. Non-Newtonian Fluid Mech. 15 1984 75-83
6. D.K. Gartling N. Phan-Thien A numerical simulation of a plastic fluid in a parallel-plate plastometer J. Non-Newtonian Fluid Mech. 14 1984 347-360
7. S.D.R. Wilson Squeezing flow of a Bingham material J. Non-Newtonian Fluid Mech. 47 1993 211-219
8. J.D. Sherwood D. Durban Squeeze flow of a power-law viscoplastic solid J. Non-Newtonian Fluid Mech. 62 1996 35-54
9. J.D. Sherwood D. Durban Squeeze-flow of a Herschel-Bulkley fluid J. Non-Newtonian Fluid Mech. 77 1998 115-121
10. D.N. Smyrnaios J. Tsamopoulos Squeeze-flow of Bingham plastics J. Non-Newtonian Fluid Mech. 100 2001 165-190
11. K.F. Liu C.C. Mei Slow Spreading of a Sheet of Bingham fluid on an inclined plane J. Fluid Mech. 207 1989 505-529
12. K.F. Liu C.C. Mei Approximate equations for the slow spreading of a thin sheet of Bingham plastic fluid Phys. Fluids A2 1990 30-36
13. P. Coussot S. Proust Slow, unconfined spreading of a mud flow J. Geophys. Res. 101 1996 25217-25229
14. P. Coussot S. Proust C. Ancey Rheological interpretation of deposits of yield stress fluids J. Non-Newtonian Fluid Mech. 66 1996 55-70
15. J.M. Piau Flow of a yield stress fluid in a long domain. Application to flow on an inclined plane J. Rheology 40 1996 711-723
16. R.W. Griffiths J.H. Fink Solidifying Bingham extrusions: a model for the growth of silicic lava domes J. Fluid Mech. 347 1997 13-36
17. X. Huang M.H. Garcia A Herschel-Bulkley model for mud flow down a slope J. Fluid Mech. 374 1998 305-333
18. S.D.R. Wilson S.L. Burgess The steady, spreading flow of a rivulet of mud J. Non-Newtonian Fluid Mech. 79 1998 77-85
19. N.J. Balmforth R.V. Craster A consistent thin-layer theory for Bingham plastics J. Non-Newtonian Fluid Mech. 84 1999 65-81
20. S.D.R. Wilson A note on thin-layer theory for Bingham plastics J. Non-Newtonian Fluid Mech. 85 1999 29-33
21. R.W. Griffiths The dynamics of lava flows Annu. Rev. Fluid Mech. 32 2000 477-518
22. N.J. Balmforth A.S. Burbidge R.V. Craster J. Salzig A. Shen Visco-plastic models of isothermal lava domes J. Fluid Mech. 403 2000 37-65
23. N.J. Balmforth R.V. Craster Dynamics of cooling domes of visco-plastic fluid J. Fluid Mech. 422 2000 225-248
24. C.C. Mei M. Yuhi Slow flow of a Bingham fluid in a shallow channel of finite width J. Fluid Mech. 431 2001 135-159
25. A.B. Ross S.K. Wilson B.R. Duffy Thin-film flow of a viscoplastic material round a large horizontal stationary or rotating cylinder J. Fluid Mech. 430 2001 309-333
26. S.K. Wilson B.R. Duffy A.B. Ross On the gravity-driven draining of a rivulet of viscoplastic material down a slowly varying substrate Phys. Fluids 14 2002 555-571
27. G. Duvaut J.L. Lions Inequalities in Mechanics and Physics vol. 219 1976 Springer-Verlag 279-327
28. E. Guyon J.-P. Hulin L. Petit C. Mitescu Physical Hydrodynamics 2001 Oxford University Press
29. S.D.R. Wilson A.J. Taylor The channel entry problem for a yield stress fluid J. Non-Newtonian Fluid Mech. 65 1999 165-176
30. M.A.M. Al Khatib S.D.R. Wilson The development of Poiseuille flow of a yield stress fluid J. Non-Newtonian Fluid Mech. 100 2001 1-8