Influence of shear and elongation on drop deformation in convergent-divergent flows

International Journal of Multiphase Flow

Volumn 26, Issue 1, 2000, Pages 17-44

  Khayat, Roger E ^a   Luciani, A ^b   Utracki, L A ^c   Godbille, F ^d   Picot, J ^d  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

^b LABORATOIRE DE TECHNOLOGIE DES COMPOSITES ET POLYMÈRES LTC   (Switzerland)

^c NATIONAL RESEARCH COUNCIL CANADA   (Canada)

^d UNIVERSITY OF NEW BRUNSWICK   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; DEFORMATION; DROPLET;

BOUNDARY ELEMENT METHOD; CHANNEL FLOW; COMPUTER SIMULATION; ELASTICITY; MATHEMATICAL MODELS; NEWTONIAN FLOW; SURFACE ROUGHNESS; VISCOELASTICITY;

CONVERGENT-DIVERGENT FLOWS; DROP DEFORMATION;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0033622696     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0301-9322(98)00083-4     Document Type: Article

References (33)

1. Ascoli E.P., Dandy D.S., Leal L.G. Boundary-driven motion of a deformable drop toward a planar wall at low Reynolds number. J. Fluid Mech. 213:1990;287.
2. Bird, R.B., Armstrong, R.C., Hassager, O., 1987. Dynamics of Polymeric Liquids, 2nd Ed., vol. 1. Wiley, New York.
3. Bourry, D., Godbille, F., Khayat, R.E., Luciani, A., Picot, J., Utracki, L.A., 1998 Extensional flow of polymeric dispersion, Polym. Eng. Sci. (in press).
4. Bousfield D.W., Keunigs R., Marrucci G., Denn M.M. Nonlinear analysis of the surface tension driven breakup of viscoelastic filaments. J. Non-Newtonian Fluid Mech. 21:1986;79.
5. Christensen R.M. Theory of Viscoelasticity. 2nd ed. 1982;Pergamon Press, Oxford.
6. Elmendorp, J.J., 1986. A study on polymer blending microrheology. Ph.D. thesis, Delft University of Technology, The Netherlands.
7. Erwin L. Principles of laminar fluid/fluid mixing. Rauwendaal C. Mixing in Polymer Processing. 1991;Marcel Dekker, New York.
8. Floryan J.M., Rasmussen H. Numerical methods for viscous flows with moving boundaries. Appl. Mech. Rev. 42:1989;323.
9. Frayce D., Khayat R.E. A dual reciprocity boundary element approach to three-dimensional transient heat conduction as applied to materials processing. Numer. Heat Transfer A. 29:1996;243.
10. Girifalco L.A., Good R.J. A theory for the estimation of surface and interfacial energies. I. Derivation and application to interfacial tension. J. Phys. Chem. 61:1957;904.
11. Goldsmith H.L., Mason S.G. Eirich F.R. Rheology. Theory and Applications. 1967;Academic Press, London.
12. Grace, H.P., 1971. 3rd Engineering Foundation Research Conference on Mixing, Andover, NH, 9-14 August.
13. Han C.D. Multiphase Flow in Polymer Processing. 1981;Academic Press, New York.
14. Khayat R.E., Garcia-Rejon A. Uniaxial and biaxial unsteady inflation of a viscoelastic material. J. Non-Newton. Fluid Mech. 43:1992;31.
15. Khayat R.E., Derdouri A., Hebert L.P. A boundary-element approach to three-dimensional gas-assisted injection molding. J. Non-Newton. Fluid Mech. 57:1995;253.
16. Khayat R.E., Luciani A., Utracki L.A. Boundary-element analysis of planar drop deformation in confined flow. Part I. Newtonian fluids. Engng Anal. Bound. Elem. 19:1997;279.
17. Khayat, R.E., Derdouri, A., Frayce, D., 1998 Boundary-element analysis of three dimensional transient mixing processes of Newtonian and viscoelastic fluids, Int. J. Num. Meth. Fluids 28, 815.
18. Mao W., Khayat R.E. Numerical simulation of transient planar flow of a viscoelastic materials with two moving free surfaces. Int. J. Num. Meth. Fluids. 21:1995;1137.
19. Martinez M.J., Udell K.S. Axisymmetric creeping motion of drops through circular tubes. J. Fluid Mech. 210:1990;565.
20. Neves A.C., Brebbia C.A. The multiple reciprocity boundary element method for transforming domain integrals to the boundary. Int. J. Num. Meth. Engng. 31:1991;709.
21. Nguyen, X.Q., Utracki, L.A. 1995 US Patent, 5,451,106, 19 September (application 8 August 1984, to National Research Council of Canada, Ottawa).
22. Nowak A.J. Application of the multiple reciprocity method for solving nonlinear problems. Wrobel L.C., Brebbia C.A., Nowak A.J. Advanced Computational Methods in Heat Transfer II, Vol I: Conduction, Radiation and Phase Change. 1995;Computational Mechanics Publications, Southampton.
23. Palierne J.F. Linear rheology of viscoelastic emulsions with interfacial tension. Rheol. Acta. 29:1990;204.
24. Pozrikidis C. The axisymmetric deformation of a red blood cell in a uniaxial straining Stokes flow. J. Fluid Mech. 216:1990;231.
25. Pozrikidis C. Boundary Integral and Singularity Methods for Linearized Viscous Flow. 1992;Cambridge University Press, Cambridge.
26. Rallison J.M. The deformation of small viscous drops and bubbles in shear flows. Ann. Rev. Fluid Mech. 16:1984;45.
27. Suzaka, Y. 1982 US Patent, 4,334,783, 15 June (application 21 December 1978, to Showa Denko, Kabushiki Kaisha, Oita, Japan).
28. Taylor G.I. The viscosity of a fluid containing small drops of another. Proc. R. Soc. Lond. A. 138:1932;41.
29. Taylor G.I. The formulation of emulsions in definable fields of flow. Proc. R. Soc. Lond. A. 146:1934;501.
30. Tsai T.M., Miksis M.J. Dynamics of a drop in a constricted capillary tube. J. Fluid Mech. 274:1994;197.
31. Utracki L.A., Dumoulin M.M., Toma P. Melt rheology of high density polyethylene/polyamide-6 blends. Polym. Engng Sci. 26:1986;34.
32. Wrobel L.C. The dual reciprocity boundary element formulation for nonlinear problems. Comput. Meth. Appl. Mech. Engng. 65:1987;147.
33. Yiantsios S.G., Davis R.H. On the buoyancy-driven motion of a drop towards a rigid or deformable interface. J. Fluid Mech. 217:1990;547.