The rising motion of spheres in structured fluids with yield stress

Physics of Fluids

Volumn 29, Issue 9, 2017, Pages

  Mirzaagha, S ^a   Pasquino, R ^a   Iuliano, E ^a   D'Avino, G ^a   Zonfrilli, F ^b   Guida, V ^b   Grizzuti, N ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b PROCTER AND GAMBLE COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DRAG; FIBERS; FINITE ELEMENT METHOD; SPHERES; SUSPENSIONS (FLUIDS);

FINITE ELEMENT SIMULATIONS; FLUID DYNAMIC PHENOMENON; HERSCHEL-BULKLEY FLUIDS; HERSCHEL-BULKLEY MODEL; HYDROGENATED CASTOR OIL; SURFACTANT MICELLAR SOLUTIONS; THREE ORDERS OF MAGNITUDE; VISCO-ELASTIC BEHAVIORS;

YIELD STRESS;

EID: 85028702624     PISSN: 10706631     EISSN: 10897666     Source Type: Journal    
DOI: 10.1063/1.4998740     Document Type: Article

References (49)

1. Atapattu, D. D., Chhabra, R. P., and Uhlherr, P. H. T., "Creeping sphere motion in Herschel-Bulkley fluids: Flow field and drag," J. Non-Newtonian Fluid Mech. 59, 245-265 (1995)
2. Ansley, R. W. and Smith, T. N., "Motion of spherical particles in a Bingham plastic," AIChE J. 13, 1193-1196 (1967)
3. Astarita, G. and Apuzzo, G., "Motion of gas bubbles in non-Newtonian liquids," AlChE J. 11, 815-820 (1965)
4. Balmforth, N. J., Frigaard, I. A., and Ovarlez, G., "Yielding to stress: Recent developments in viscoplastic fluid mechanics," Annu. Rev. Fluid Mech. 46, 121-146 (2014)
5. Barnes, H. A., "The yield stress-A review or 'panta roi'-Everything flows?," J. Non-Newtonian Fluid Mech. 81, 133-178 (1999)
6. Beaulne, M. and Mitsoulis, E., "Creeping motion of a sphere in tubes filled with Herschel-Bulkley fluids," J. Non-Newtonian Fluid Mech. 72, 55-71 (1997)
7. Beris, A. N., Tsamopoulos, J. A., Armstrong, R. C., and Brown, R. A., "Creeping flow of a sphere through a Bingham plastic," J. Fluid Mech. 158, 219-244, (1985)
8. Bhavaraju, S. M., Mashelkar, R. A., and Blanch, H. W., "Bubble motion and mass transfer in non-Newtonian fluids: Part I. Single bubble in power law and Bingham fluids," AIChE J. 24, 1063-1070 (1978)
9. Blackery, J. and Mitsoulis, E., "Creeping motion of a sphere in tubes filled with a Bingham plastic material," J. Non-Newtonian Fluid Mech. 70, 59-77 (1997)
10. Chafe, N. P. and de Bruyn, J. R., "Drag and relaxation in a bentonite clay suspension," J. Non-Newtonian Fluid Mech. 131, 44-52 (2005)
11. Clift, R., Grace, J. R., and Weber, M. E., Bubbles, Drops and Particles (Academic Press, New York, 1978)
12. D'Avino, G., Tuccillo, T., Maffettone, P. L., Greco, F., and Hulsen, M. A., "Numerical simulations of particle migration in a viscoelastic fluid subjected to shear flow," Comput. Fluids 39, 709-721 (2010)
13. de Bruyn, J. R., "Transient and steady-state drag in foam," Rheol. Acta 44, 150-159 (2004)
14. de Bruyn, J. R., "Age dependence of the drag force in an aqueous foam," Rheol. Acta 45, 803-811 (2006)
15. De Meirleir, N., Pellens, L., Broeckx,W.,Van Assche, G., and DeMalsche,W., "The rheological properties of hydrogenated castor oil crystals," Colloid Polym. Sci. 292, 2539-2547 (2014)
16. Deglo de Besses, B., Magnin, A., and Jay, P., "Sphere drag in a viscoplastic fluid," AIChE J. 50, 2627-2629 (2004)
17. Denkov, N. D., Subramanian, V., Gurovich, D., and Lips, A., "Wall slip and viscous dissipation in sheared foams: Effect of surface mobility," Colloids Surf., A 263, 129-145 (2005)
18. Denkov, N. D., Tcholakova, S., Golemanov, K., Ananthpadmanabhan, K. P., and Lips, A., "The role of surfactant type and bubble surface mobility in foam rheology," Soft Matter 5, 3389-3408 (2009)
19. Derksen, P. J. J., "Direct simulations of spherical particle motion in Bingham liquids," Comput. Chem. Eng. 35, 1200-1214 (2011)
20. Dezhi, G. and Tanner, R. I., "The drag on a sphere in a power-law fluid," J. Non-Newtonian Fluid Mech. 17, 1-12 (1985)
21. Dimakopoulos, Y., Pavlidis, M., and Tsamopoulos, J., "Steady bubble rise in Herschel-Bulkley fluids and comparision of predictions via the augmented Lagrangian method with those via the Papanastasiou model," J. Non-Newtonian Fluid Mech. 200, 34-51 (2013)
22. Dubash, N. and Frigaard, I. A., "Conditions for static bubbles in viscoplastic fluids," Phys. Fluids 16, 4319-4330 (2004)
23. Dubash, N. and Frigaard, I. A., "Propagation and stopping of air bubbles in Carbopol solutions," J. Non-Newtonian Fluid Mech. 142, 123-134 (2007)
24. Ducloué, L., Pitois, O., Goyon, J., Chateau, X., and Ovarlez, G., "Rheological behavior of suspensions of bubbles in yield stress fluid," J. Non-Newtonian Fluid Mech. 215, 31-39 (2015)
25. Emady, H., Caggioni, M., and Spicer, P., "Colloidal microstructure effects on particle sedimentation in yield stress fluids," J. Rheol. 57, 1761 (2013)
26. Fraggedakis, D., Dimakopoulos,Y., and Tsamopoulos, J., "Yielding the yieldstress analysis: A study focused on the effects of elasticity on the settling of a single spherical particle in simple yield-stress fluids," Soft Matter 12, 5378-5401 (2016a)
27. Fraggedakis, D., Pavlidis, M., Dimakopoulos, Y., and Tsamopoulos, J., "On the velocity discontinuity at a critical volume of a bubble rising in a viscoelastic fluid," J. Fluid Mech. 789, 310-346 (2016b)
28. Gueslin, B., Talini, L., Herzhaft, B., Peysson,Y., and Allain, C., "Flowinduced by a spheres settling in an aging yield stress fluid," Phys. Fluids 18, 103101 (2006)
29. Harper, J. F., "The motion of bubbles and drops through liquids," Adv. Appl. Mech. 12, 59-129 (1972)
30. Jossic, L. and Magnin, A., "Drag and stability of objects in a yield stress fluid," AIChE J. 47, 2666-2672 (2001)
31. Liu, B. T., Muller, S., and Denn, M. M., "Interactions of two rigid spheres translating collinearly in creeping flow in a Bingham material," J. Non-Newtonian Fluid Mech. 113, 49-67 (2003)
32. Luo, H. and Pozrikidis, C., "Effect of surface slip on Stokes flow past a spherical particle in infinite fluid and near a plane wall," J. Eng. Math. 62, 1-21 (2008)
33. Magnaudet, J. and Eames, I., "The motion of high-Reynolds number bubbles in inhomogeneous flows," Annu. Rev. Fluid Mech. 32, 659-708 (2000)
34. Merkak, O., Jossic, L., and Magnin, A., "Spheres and interactions between spheres moving at very low velocities in a yield stress fluid," J. Non-Newtonian Fluid Mech. 133, 99-108 (2006)
35. Mitsoulis, E., "On creeping drag flow of a viscoplastic fluid past a circular cylinder: Wall effects," Chem. Eng. Sci. 59, 789-800 (2004)
36. Mitsoulis, E., "Flows of viscoplastic materials: Models and computations," Rheol. Rev. 2007, 135-178, available online at http://www.bsr.org.uk/rheology-reviews/RheologyReviews/viscoplasticmaterials-Mitsoulis.pdf
37. Mitsoulis, E. and Galazoulas, S., "Simulation of viscoplastic flow past cylinders in tubes," J. Non-Newtonian Fluid Mech. 158, 132-141 (2009)
38. Mitsoulis, E. and Tsamopoulos, J., "Numerical simulations of complex yieldstress fluid flows," Rheol. Acta 56, 231-258 (2017)
39. Mullineux, G., "Non-linear least squares fitting of coefficients in the Herschel-Bulkley model," Appl. Math. Modell. 32, 2538-2551 (2008)
40. Papanastasiou, T. C., "Flows of materials with yield," J. Rheol. 31, 385-404 (1987)
41. Procter & Gamble, EP01396535B1 patent 02447167.4 (2004)
42. Putz, A. M. V., Burghelea, T. I., Frigaard, I. A., and Martinez, D. M., "Settling of an isolated spherical particle in a yield stress shear thinning fluid," Phys. Fluids 20, 033102-033111 (2008)
43. Roquet, N. and Saramito, P., "An adaptive finite element method for Bingham fluid flows around a cylinder," Comput. Methods Appl. Mech. Eng. 192, 3317-3341 (2003)
44. Saramito, P. andWachs, A., "Progress in numerical simulation of yield stress fluid flows," Rheol. Acta 56, 211-230 (2017)
45. Sikorski, D., Tabuteaua, H., and de Bruyna, J. R., "Motion and shape of bubbles rising through a yield-stress fluid, J. Non-Newtonian Fluid Mech. 159, 10-16 (2009)
46. Tabuteau, H., Coussot, P., and de Bruyn, J., "Drag force on a sphere in steady motion through a yield-stress fluid," J. Rheol. 51, 125-137 (2006)
47. Tcholakova, S., Denkov, N. D., Golemanov, K., Ananthapadmanabhan, K. P., and Lips, A., "Theoretical model of viscous friction inside steadily sheared foams and concentrated emulsions," Phys. Rev. E 78, 011405-011452 (2008)
48. Tsamopoulos, J., Dimakopoulos, Y., Chatzidai, N., Karapetsas, G., and Pavlidis, M., "Steady bubble rise and deformation in Newtonian and viscoplastic fluids and conditions for bubble entrapment," J. Fluid Mech. 601, 123-164 (2008)
49. Yu, Z. andWachs, A., "A fictitious domain method for dynamic simulation of particle sedimentation in Bingham fluids," J. Non-Newtonian Fluid Mech. 145, 78-91 (2007)