Flow of a yield stress fluid perpendicular to a disc

Journal of Non-Newtonian Fluid Mechanics

Volumn 191, Issue , 2013, Pages 14-24

  Jossic, Laurent ^a   Ahonguio, Fiacre ^a   Magnin, Albert ^a  

^a Univ Joseph Fourier Grenoble 1   (France)

Author keywords

Creeping flow; Disc; Drag; Rigid zones; Yield stress fluid

Indexed keywords

CARBOPOL; CREEPING FLOWS; DISC; EXPERIMENTAL STUDIES; FLOW DIRECTION; INERTIAL EFFECT; MINIMUM YIELD; NUMERICAL RESULTS; RIGID ZONE; VELOCITY FIELD; VISCOUS EFFECT; YIELD STRESS FLUIDS;

DRAG; VELOCITY;

YIELD STRESS;

EID: 84870663918     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2012.10.006     Document Type: Article

References (40)

1. Piau J.-M. Carbopol gels: elastoviscoplastic and slippery glasses made of individual swollen sponges. Meso- and macroscopic properties, constitutive equations and scaling laws. J. Nonnewton. Fluid Mech. 2007, 144:1-29.
2. Atapattu D.D., Chhabra R.P., Uhlherr P.H.T. Creeping sphere motion in Herschel-Bulkley fluids: flow field and drag. J. Nonnewton. Fluid Mech. 1995, 59:245-265.
3. Atapattu D.D., Chhabra R.P., Uhlherr P.H.T. Wall effect for spheres falling at small Reynolds number in a viscoplastic medium. J. Nonnewton. Fluid Mech. 1990, 38(1):31-42.
4. Chhabra R.P. Bubbles, Drops and Particles in Non-Newtonian Fluids 1993, CRC Press.
5. Tabuteau H., Coussot P., de Bruyn J.R. Drag force on a sphere in steady motion through a yield stress fluiz. J. Rheol 2007, 51(1):55-71.
6. Merkak O., Jossic L., Magnin A. Spheres and interactions between spheres moving at very low velocities in a yield stress fluid. J. Nonnewton. Fluid Mech. 2006, 133(2-3):99-108.
7. Putz A.M.V., Burghelea T.I., Frigaard I.A., Martinez D.M. Settling of an isolated spherical particle in a yield stress shear thinning fluid. Phys. Fluids 2008, 20(3). (art no 033102).
8. Beris A.N., Tsamopoulos J.A., Armstrong R.C., Brown R.A. Creeping motion of a sphere through a Bingham plastic. J. Fluid Mech. 1985, 158:219-244.
9. Beaulne M., Mitsoulis E. Creeping motion of a sphere in tubes filled with Herschel-Bulkley fluids. J. Nonnewton. Fluid Mech. 1997, 72:55-71.
10. Blackery J., Mitsoulis E. Creeping motion of a sphere in tubes filled with a Bingham plastic material. J. Nonnewton. Fluid Mech. 1997, 70(1-2):59-77.
11. Deglo de Besses B., Magnin A., Jay P. Sphere drag in viscoplasticfluids. AIChE J. 2004, 50(10):2627-2629.
12. Boardman G., Whitmore R.L. Yield stress exerted on a body immersed in a Bingham fluid. Nature 1960, 187:50.
13. Rae D. Yield stress exerted on a body immersed in a Bingham fluid. Nature 1962, 194:272.
14. Boardman G., Whitmore R.L. Response to Rae D. Nature 1962, 194:272.
15. Brookes G.F., Whitmore R.L. The static drags on bodies in Bingham plastics. Rheol. Acta 1968, 7:188.
16. Brookes G.F., Whitmore R.L. Drag forces in Bingham plastics. Rheol. Acta 1969, 8:472.
17. Pazwash H., Robertson J.M. Forces on bodies in Bingham fluids. J. Hydraul. Res. 1975, 13:35-55.
18. Jossic L., Magnin A. Drag and stability of objects in a yield stress fluid. AIChE J. 2001, 47(12):2666-2672.
19. Jossic L., Magnin A. Drag of an isolated cylinder and interactions between two cylinders in yield stress fluids. J. Nonnewton. Fluid Mech. 2009, 164:9-16.
20. Putz A., Frigaard I.A. Creeping flow around particles in a Bingham fluid. J. Nonnewton. Fluid Mech. 2010, 165(5-6):263-280.
21. Piau J.-M. Viscoplastic boundary layer. J. Nonnewton. Fluid Mech. 2002, 102:193-218.
22. Piau J.-M., Debiane K. The adhesive or slippery flat plate viscoplastic boundary layer for a shear-thinning power-law viscosity. J. Nonnewton. Fluid Mech. 2004, 117(2-3):97-107.
23. Happel, Brenner Low Reynolds Number Hydrodynamics, with Special Applications to Particulate Media 1965, Prentice-Hall.
24. M. Kupferman, The Vertical Holding Capacity of Marine Anchors in Clay Subjected to Static and Cyclic Loading, MSc thesis, University of Massachusetts, Amherst, Mass, 1965.
25. Yu H.S. Cavity Expansion Methods in Geomechanics 2000, Kluwer, Dordrecht.
26. Merifield R.S., Lyamin A.V., Sloan S.W., Yu H.S. Three-dimensional lower bound solutions for stability of plate anchors in clay. J. Geotech Geoenviron. Eng. ASCE 2003, 129(3):243-253.
27. Khatri V.N., Kumar J. Vertical uplift resistance of circular plate anchors in clays under undrained condition. Comput. Geotech. 2009, 36:1352-1359.
28. Merifield R.S., Smith C.C. The ultimate uplift capacity of multi-plate strip anchors in undrained clay. Comput. Geotech. 2010, 37:504-514.
29. Mitsoulis E., Galazoulas S. Simulation of viscoplastic flow past cylinders in tubes. J. Nonnewton. Fluid Mech. 2009, 158:132-141.
30. B.F. Goodrich Literature, Cleveland, 1997.
31. Oldroyd J.G. A rational formulation of the equations of plastic flow for a Bingham fluid. Proc. Camb. Phil. Soc. 1947, 43:100-105.
32. Oldroyd J.G. Two-dimensional plastic flow for a Bingham fluid. A boundary-layer theory for slow motion. Proc. Camb. Phil. Soc. 1947, 43:383-395.
33. Magnin A., Piau J.-M. Shear rheometry of fluids with a yield stress. J. Nonnewton. Fluid Mech. 1987, 23:91-106.
34. Magnin A., Piau J.-M. Cone and plate rheometry of yield stress fluids. Study of an aqueous gel. J. Nonnewton. Fluid Mech. 1990, 36:85-108.
35. Mougin N., Magnin A., Piau J.-M. The significant effect of internal stresses on the dynamics of bubbles in a yield stress fluid. J. Nonnewton. Fluid Mech. 2012, 171-172:42-55.
36. Hassager O. Negative wake behind bubbles in non-newtonian liquids. Nature 1979, 279:402.
37. Tokpavi D.L., Jay P., Magnin A., Jossic L. Experimental study of the very slow flow of a yield stress fluid past a cylinder. J. Nonnewton. Fluid Mech. 2009, 157(3):75-87.
38. Yarin A.L., Zussman E., Theron A., Rahimi S., Sobe Z., Hasan D. Elongational behavior of gelled propellant simulants. J. Rheol. 2004, 48(1):101-116.
39. Balmforth N.J., Dubash N., Slim A.C. Extensional dynamics of viscoplastic filaments I: long-wave approximation and the Rayleigh instability. J. Nonnewton. Fluid Mech. 2010, 165(19-20):1139-1146.
40. Balmforth N.J., Dubash N., Slim A.C. Extensional dynamics of viscoplastic filaments II: drips and bridges. J. Non-Newtonian Fluid Mech. 2010, 165(19-20):1147-1160.