Dissipative particle dynamics simulation of droplet suspension in shear flow at low Capillary number

Journal of Non-Newtonian Fluid Mechanics

Volumn 212, Issue , 2014, Pages 63-72

  Pan, Dingyi ^a,b   Phan Thien, Nhan ^a   Khoo, Boo Cheong ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

Dissipative particle dynamics (DPD); Droplet deformation; Emulsion; Shear thinning; Viscoelastic

Indexed keywords

SHEAR THINNING;

DISSIPATIVE PARTICLE DYNAMICS; DISSIPATIVE PARTICLE DYNAMICS SIMULATION; DROPLET DEFORMATION; LOW CAPILLARY NUMBERS; VISCOELASTIC;

EMULSIONS;

EID: 84908503730     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2014.08.011     Document Type: Article

References (56)

1. Sjöblom J. Emulsions and Emulsion Stability. Surfactant Science Series 2006, CRC Press. second ed.
2. Ghigliotti G., Biben T., Misbah C. Rheology of a dilute two-dimensional suspension of vesicles. J. Fluid Mech. 2010, 653:489-518.
3. Jadhav S., Chan K.Y., Konstantopoulos K., Eggleton C.D. Shear modulation of intercellular contact area between two deformable cells colliding under flow. J. Biomech. 2007, 40(13):2891-2897.
4. Taylor G.I. The viscosity of a fluid containing small drops of another fluid. Proc. R. Soc. Lond. A, Math. Phys. Sci. 1932, 138:41-48.
5. Taylor G.I. The formation of emulsions in definable fields of flow. Proc. R. Soc. Lond. A, Math. Phys. Sci. 1934, 146:501-523.
6. Cox R.G. The deformation of a drop in a general time-dependent fluid flow. J. Fluid Mech. 1969, 37:601-623.
7. Frankel N.A., Acrivos A. The constitutive equation for a dilute emulsion. J. Fluid Mech. 1970, 44:65-78.
8. Rallison J.M. The deformation of small viscous drops and bubbles in shear flows. Annu. Rev. Fluid Mech. 1984, 16:45-66.
9. Rallison J.M. A numerical study of the deformation and burst of a viscous drop in general shear flows. J. Fluid Mech. 1981, 109:465-482.
10. Stone H.A., Leal L.G. Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid. J. Fluid Mech. 1989, 198:399-427.
11. Kennedy M., Pozrikidis C., Skalak R. Motion and deformation of liquid drops, and the rheology of dilute emulsions in simple shear flow. Comput. Fluids 1994, 23(2):251-278.
12. Batchelor G.K. The stress system in a suspension of force-free particles. J. Fluid Mech. 1970, 41:545-570.
13. Loewenberg M., Hinch E.J. Numerical simulation of a concentrated emulsion in shear flow. J. Fluid Mech. 1996, 321:395-419.
14. Zinchenko A.Z., Davis R.H. Shear flow of highly concentrated emulsions of deformable drops by numerical simulations. J. Fluid Mech. 2002, 455:21-62.
15. Yue P., Feng J.J., Liu C., Shen J. A diffuse-interface method for simulating two-phase flows of complex fluids. J. Fluid Mech. 2004, 515:293-317.
16. Mortazavi S., Tryggvason G. A numerical study of the motion of drops in Poiseuille flow. Part 1. Lateral migration of one drop. J. Fluid Mech. 2000, 411:325-350.
17. Li J., Renardy Y.Y., Renardy M. Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method. Phys. Fluids 2000, 12(2):269-282.
18. Li X., Sarkar K. Effects of inertia on the rheology of a dilute emulsion of drops in shear. J. Rheol. 2005, 49:1377.
19. Hoogerbrugge P.J., Koelman J.M.V.A. Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics. Europhys. Lett. 1992, 19(3):155-160.
20. Español P., Warren P. Statistical-mechanics of dissipative particle dynamics. Europhys. Lett. 1995, 30(4):191-196.
21. Español P. Hydrodynamics from dissipative particle dynamics. Phys. Rev. E 1995, 52(2):1734-1742.
22. C. Marsh, Theoretical aspects of dissipative particle dynamics, D Phil thesis, University of Oxford, 1998.
23. Pan W.X., Caswell B., Karniadakis G.E. Rheology, microstructure and migration in Brownian colloidal suspensions. Langmuir 2010, 26(1):133-142.
24. Fan X.J., Phan-Thien N., Chen S., Wu X.H., Ng T.Y. Simulating flow of DNA suspension using dissipative particle dynamics. Phys. Fluids 2006, 18(6):063102.
25. Clark A.T., Lal M., Ruddock J.N., Warren P.B. Mesoscopic simulation of drops in gravitational and shear fields. Langmuir 2000, 16(15):6342-6350.
26. Chen S., Phan-Thien N., Fan X.J., Khoo B.C. Dissipative particle dynamics simulation of polymer drops in a periodic shear flow. J. Non-Newt. Fluid Mech. 2004, 118(1):65-81.
27. Liu H., Qian H.J., Zhao Y., Lu Z.Y. Dissipative particle dynamics simulation study on the binary mixture phase separation coupled with polymerization. J. Chem. Phys. 2007, 127(14):144903.
28. Pan D., Phan-Thien N., Mai-Duy N., Khoo B.C. Numerical investigations on the compressibility of a DPD fluid. J. Comput. Phys. 2013, 242:196-210.
29. Mai-Duy N., Pan D., Phan-Thien N., Khoo B.C. Dissipative particle dynamics modeling of low Reynolds number incompressible flows. J. Rheol. 2013, 57:585-604.
30. Groot R.D., Warren P.B. Dissipative particle dynamics: bridging the gap between atomistic and mesoscopic simulation. J. Chem. Phys. 1997, 107(11):4423-4435.
31. Lees A.W., Edwards S.F. The computer study of transport processes under extreme conditions. J. Phys. C: Solid State Phys. 1972, 5(15):1921.
32. Irving J.H., Kirkwood J.G. The statistical mechanical theory of transport processes. Part 4. The equations of hydrodynamics. J. Chem. Phys. 1950, 18(6):817-829.
33. Xing P.X., Bousmina M., Rodrigue D., Kamal M.R. Critical experimental comparison between five techniques for the determination of interfacial tension in polymer blends: model system of polystyrene/polyamide-6. Macromolecules 2000, 33(21):8020-8034.
34. D. Pan, N. Phan-Thien, B.C. Khoo, Studies on liquid-liquid interfacial tension with standard dissipative particle dynamics method, Mol. Simulat. doi:. doi:10.1080/08927022.2014.952636.
35. Visser D.C., Hoefsloot H.C.J., Iedema P.D. Modelling multi-viscosity systems with dissipative particle dynamics. J. Comput. Phys. 2006, 214:491-504.
36. Guido S., Villone M. Three-dimensional shape of a drop under simple shear flow. J. Rheol. 1998, 42(2):395-415.
37. Phan-Thien N., Mai-Duy N., Pan D., Khoo B.C. Exponential-time differencing schemes for low-mass DPD systems. Comput. Phys. Commun. 2014, 185(1):229-235.
38. Mai-Duy N., Phan-Thien N., Khoo B.C. A numerical study of strongly overdamped dissipative particle dynamics (DPD) systems. J. Comput. Phys. 2013, 245:150-159.
39. Singh R.K., Sarkar K. Inertial effects on the dynamics, streamline topology and interfacial stresses due to a drop in shear. J. Fluid Mech. 2011, 683:149-171.
40. Wagner N.J., Brady J.F. Shear thickening in colloidal dispersions. Phys. Today 2009, 62(10):27-32.
41. Zinchenko A. Hydrodynamic interaction of two identical liquid spheres in linear flow field. J. App. Math. Mech. 1983, 47(1):37-43.
42. Davis R.H., Schonberg J.A., Rallison J.M. The lubrication force between two viscous drops. Phys. Fluids 1989, 1:77-81.
43. Yoon Y., Baldessari F., Ceniceros H.D., Leal L.G. Coalescence of two equal-sized deformable drops in an axisymmetric flow. Phys. Fluids 2007, 19(10):102102.
44. Loewenberg M., Hinch E.J. Collision of two deformable drops in shear flow. J. Fluid Mech. 1997, 338:299-315.
45. Guido S., Simeone M. Binary collision of drops in simple shear flow by computer-assisted video optical microscopy. J. Fluid Mech. 1998, 357:1-20.
46. Olapade P.O., Singh R.K., Sarkar K. Pariwise interactions between deformation drops in free shear at finite inertial. Phys. Fluids 2009, 21:063302.
47. Singh R.K., Sarkar K. Effects of viscosity ratio and three dimensional positioning on hydrodynamic interactions between two viscous drops in a shear flow at finite inertia. Phys. Fluids 2009, 21:103303.
48. Xu X., Rice S.A., Dinner A.R. Relation between ordering and shear thinning in colloidal suspensions. Proc. Natl. Acad. Sci. 2013, 110:3771-3776.
49. Caserta S., Reynaud S., Simeone M., Guido S. Drop deformation in sheared polymer blends. J. Rheol. 2007, 51:761-774.
50. Einstein A. Eine neue bestimmungder molekküldimensionen. Annln. Phys. 1906, 324:289-306.
51. Einstein A. Berichtigung zu meiner arbeit: 'eine neue bestimmung der molekül-dimensionen'. Annln. Phys. 1911, 339:591-592.
52. Yaron I., Gal-Or B. On viscous flow and effective viscosity of concentrated suspensions and emulsions. Rheol. Acta 1972, 11(3-4):241-252.
53. Choi S.J., Schowalter W.R. Rheological properties of nondilute suspensions of deformable particles. Phys. Fluids 1975, 18:420-427.
54. Pal R. Shear viscosity behavior of emulsions of two immiscible liquids. J. Colloid Interface Sci. 2000, 225(2):359-366.
55. Phan-Thien N., Pham D. Differential multiphase models for polydispersed suspensions and particulate solids. J. Non-Newt. Fluid Mech. 1997, 72:305-318.
56. Pal R. Novel viscosity equations for emulsions of two immiscible liquids. J. Rheol. 2001, 45:509-520.