A study of emulsion expansion by a boundary integral method

Mechanics Research Communications

Volumn 30, Issue 6, 2003, Pages 639-649

  Cunha, F R ^a   Loewenberg, M ^b  

^a UNIVERSITY OF BRASILIA   (Brazil)

^b Yale University   (United States)

Author keywords

Boundary integral; Concentrated emulsion; Emulsion expansion; Numerical simulation; Reciprocal theorem

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FLOW INTERACTIONS; INTEGRAL EQUATIONS; NUMERICAL METHODS; REYNOLDS NUMBER; THREE DIMENSIONAL; VISCOELASTICITY; VISCOUS FLOW; VOLUME FRACTION;

BOUNDARY INTEGRAL METHOD; CONCENTRATED EMULSION; EMULSION EXPANSION; RECIPROCAL THEOREM;

DROP FORMATION;

EID: 0242323629     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0093-6413(03)00068-5     Document Type: Article

References (25)

1. Almeida, M.P., Cunha, F.R., 1998. Numerical simulation of non-colloidal deformable particles at low Reynolds numbers. In: Proceedings, 7th Brazilian Congress of Engineering and Thermal Sciences, vol. 1, pp. 963-970.
2. Batchelor, G.K., 1970 The stress in a suspension of force-free particles. J. Fluid Mech. 41, 545-570.
3. Beenakker, C.W.J., 1986 Ewald sum of Rotne-Prager tensor. J. Chem. Phys. 85, 1581-1582.
4. Cristini, W., Blawzdziewicz, J., Loewenberg, M., 1998 Drop breakup in three-dimensional viscous flows. Phys. Fluids 10, 1781-1783.
5. Cristini, V., Blawzdziewicz, J., Loewenberg, M., 2001 An adaptive mesh algorithm for evolving surface: simulations of drop breakup and coalescence. J. Comput. Phys. 168, 445-463.
6. Cunha, F.R., Loewenberg, M., 2003 Direct numerical simulation of emulsion flows. J. Braz. Mec. Sci. 25, 30-40.
7. Cunha, F.R., Blawzdziewicz, J., Loewenberg, M., 1999 Rheology of an emulsion in shear flow. In Proceedings of American Institute of Chemical Engineers, Annual Meeting, Fundamental Research in Fluid Mechanics. p. 124j.
8. Cunha, F.R., Loewenberg, M., 1999, Emulsion drops in oscillatory shear flow. In: Proceedings of 52nd American Physical Society, Division of Fluid, gk. 8, November, New Orleans.
9. Frankel, N.A., Acrivos, A., 1970, The constitutive equation for a dilute emulsion. J. Fluid Mech. 44, 65-78.
10. Guido, S., Simeone, M., 1998, Binary collision of drops in simple shear flow by computer-assisted video optical microscopy. J. Fluid Mech. 357, 1-20.
11. Happel, J., Brenner, H., 1965 Low Reynolds number hydrodynamics. Prentice Hall.
12. Kraynik, A.M., Reinelt, D.A., Princen, H.M., 1991, The nonlinear elastic behavior of polydisperse hexagonal foams and concentrated emulsions. J. Rheol. 35, 1235-1253.
13. Ladyzheskaya, O.A., 1969 The Mathematical Theory of Viscous Incompressible Flow. Flow. Gordon & Breach, New York.
14. Li, X., Zhou, H., Pozrikidis, C., 1995 A numerical study of the shearing motion of emulsions and foams. J. Fluid Mech. 286, 379-404.
15. Loewenberg, M., Hinch, E.J., 1996 Numerical simulations of a concentrated emulsion in shear flow. J. Fluid Mech. 321, 395-419.
16. Mason, T.G., Lacasse, M.D., Grest, S.G., Levine, D., Bibette, J., Weitz, D.A., 1997 Osmotic pressure and viscoelasticity shear moduli of concentrated emulsions. Phys. Rev. E 56, 3150-3166.
17. Pozrikidis, C., 1992 Boundary integral and singularity methods for linearized viscous flow. Cambridge University Press, Cambridge.
18. Pozrikidis, C., 1993. On the transient motion of ordered suspensions of liquid drops. J. Fluid Mech. 246, 301-320.
19. Rallison, J.M., Acrivos, A, 1978, A numerical study of the deformation and burst of a viscous drop in an extensional flow. J. Fluid Mech. 89, 191-200.
20. Rallison, J.M., 1981 A Numerical study of the deformation and burst of a viscous drop in general shear flows. J. Fluid Mech. 109, 465-482.
21. Schowalter, W.R., Chaffey, C.E., Brenner, H, Rheological behaviour of a dilute emulsion. J. Colloid Int. Sci. 26, 152-160.
22. Taylor, G.I., 1932 The formation of emulsion in definable fields of flow. Proc. Roy. Soc. 146, 501-523.
23. Youngren, G.K., Acrivos, A., 1975 Strokes flow past a particle of arbitrary shape: a numerical method of solution. J. Fluid Mech. 69, 377-403.
24. Zinchenko, A.Z., Rother, M.A., Davis, R.H. 1997 A novel boundary-integral algorithm for viscous interaction of deformable drops. Phys. Fluids 9, 1493-1511.
25. Zhou, H., Pozrikidis, C., 1993 The flow of ordered and random suspensions of two-dimensional drops in channel. J. Fluid Mech. 255, 103-127.