Coalescence limited by hydrodynamics

Physics of Fluids

Volumn 9, Issue 11, 1997, Pages 3227-3234

  Nikolayev, Vadim S ^a,b   Beysens, Daniel A ^a  

^a CEA GRENOBLE   (France)

^b BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001535896     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869438     Document Type: Article

References (16)

1. M. von Smoluchowski, "Versuch einer matematishen Theorie dar koagulationskinetik kollider Lösungen," Z. Phys. Chem. (Munich) 92, 129 (1917).
2. H. Hayakawa, "Fluctuation effects in coagulation proceues," Physica A 175, 383 (1991).
3. V. S. Nikolayev, D. Beysens, and P. Guenoun, "New hydrodynamic mechanism for drop coarsening," Phys. Rev. Lett. 76, 3144 (1996).
4. ψ can be defined as an effective range for attractive forces (e.g., van der Waals) which overcome the lubrication forces and, hence, make coalescence possible.
5. Y. Jayalakshmi, B. Khalil, and D. Beysens, "Phase separation under a weak concentration gradient," Phys. Rev. Lett. 69, 3088 (1992).
6. D. A. Ladyzhenskaya, The Mathematical Theory of Viscous Incompressible Flow, 2nd ed. (Gordon and Breach, New York, 1969).
7. J. M. Rallison and A. Activos, "A numerical study of the deformation and burst of a viscous drop in an extensional flow," J. Fluid Mech. 89, 191 (1978).
8. These expressions were used in Ref. 9 and 10, but there were misprints in both articles. The correct formulas are presented in Ref. 11.
9. G. K. Youngren and A. Acrivos, "Stokes flow past a particle of arbitrary shape: a numerical method of solution," J. Fluid Mech. 69, 377 (1975).
10. D. Ziemanas and A. Nir, "Or the viscous deformation of biological cells under anisotropic surface tension," J. Fluid Mech. 193, 217 (1988).
11. C. Pozrikidis, Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge U.P., Canbridge, 1992).
12. D. Beysens, P. Guenoun, P. Sibille, and A. Kumar, "Dimple and nose coalescences in phase-separation processes," Phys. Rev. E 50, 1299 (1994).
13. A. K. Chesters and G. Hofman, "Bubble coalescence in pure liquids," Appl. Sci. Res. 38, 353 (1982).
14. A. Z. Zinchenko, "Hydrodynamic interaction of two equal fluid spheres in linear flow field," Prikl. Mat. Mekh. 47, 56 (1983).
15. b, i.e., the volume fraction φ of the drops is large.
16. (2) stemming from the difference between l(0) and l(1), but the accuracy is largely sufficient for the present consideration.