Thermocapillary mobility of a suspension of droplets in a fluid

Physics of Fluids

Volumn 8, Issue 7, 1996, Pages 1705-1714

  Felderhof, B U ^a  

^a RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DROPLETS; SUSPENSIONS;

EID: 0029673047     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868955     Document Type: Article

References (36)

1. N. O. Young, J. S. Goldstein, and M. J. Block, "The motion of gas bubbles in a vertical temperature gradient," J. Fluid Mech. 6, 350 (1959).
2. Immiscible Liquid Metals and Organics, edited by I., Ratke (Informationsgesellschaft, Oberursel, 1993).
3. J. L. Anderson, "Droplet interactions in thermocapillary motion," Int. J. Multiphase Flow 11, 813 (1985).
4. H. J. Keh and S. H. Chen, "The axisymmetric thermocapillary motion of two fluid droplets," Int. J. Multiphase Flow 16, 515 (1990).
5. H. J. Keh and S. H. Chen, "Droplet interactions in axisymmetric thermocapillary motion," J. Colloid Interface Sci. 151, 1 (1992).
6. M. Meyyappan, W. R. Wilcox, and R. S. Subramanian, "The slow axisymmetric motion of two bubbles in a thermal gradient," J. Colloid Interface Sci. 94, 243 (1983).
7. M. Meyyappan and R. S. Subramanian, "The thermocapillary motion of two bubbles oriented arbitrarily ralative to a thermal gradient," J. Colloid Interface Sci. 97, 291 (1984).
8. F. Feuillebois, "Thermocapillary migration of two equal bubbles parallel to their line of centers," J. Colloid Interface Sci. 131, 267 (1989).
9. J. V. Satrape, "Interaction and collisions of bubbles in thermocapillary motion," Phys. Fluids A 4, 1883 (1992).
10. A. Acrivos, D. J. Jaffrey, and D. A. Saville, "Particle migration in suspensions by thermocapillary or electrophoretic motion," J. Fluid Mech. 212, 95 (1990).
11. Y. Wang, R. Mauri, and A. Acrivos, "Thermocapillary migration of a bidisperse suspension of bubbles," J. Fluid Mech. 261, 47 (1994).
12. B. U. Felderhof, "Thermocapillary mobility of bubbles and electrophoretic motion of particles in a fluid," to apper in J. Eng. Math.
13. D. J. Jeffrery, "Conduction through a random suspension of spheres," Proc. R. Soc. London Ser. A 335, 355 (1973).
14. B. U. Felderhof, G. W. Ford, and E. G. D. Cohen. "Cluster expansion for the dielectric constant of a polarizable suspension," J. Stat. Phys. 28, 135 (1982).
15. B. Cichocki and B. U. Felderhof, "Renormalized cluster expansion for multiple scattering in disordered systems," J. Stat. Phys. 51, 57 (1988).
16. B. Cichocki and B. U. Felderhof, "Dielectric constant of polarizable, non-polar fluids and suspensions," J. Stat. Phys. 53, 499 (1988).
17. A. S. Sangani and C. Yao, "Bulk thermal conductivity of composites with spherical inclusions," J. Appl. Phys. 63, 1334 (1988).
18. I. C. Kim and S. Torquato, "Effective conductivity of suspensions of hard spheres by Brownian motion simulation," J. Appl. Phys. 69, 2280 (1991).
19. R. T. Bonnecaze and J. F. Brady, "The effective conductivity of random suspensions of spherical particles," Proc. R. Soc. London Ser. A 432, 445 (1991).
20. K. Hinsen and B. U. Felderhof, "Dielectric constant of a suspension of uniform spheres," Phys. Rev B 46, 12955 (1992).
21. B. U. Felderhof and B. Cichocki, "Generalization of the Foldy-Lax formula for the self-energy of a wave propagating in a disordered system of scatterers," J. Stat. Phys. 55, 1157 (1989)
22. R. Schmitz and B. U. Felderhof, "Creeping flow about a spherical particle," Physica A 113, 90 (1982).
23. B. Cichocki, B. U. Felderhof, and R. Schmitz, "Hydrodynamic interactions between two spherical particles," PhysicoChem. Hydrodyn. 10, 383 (1988).
24. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Noordhoff, Leyden, 1973).
25. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, 1974).
26. R. F. Probstein, Physicohemical Hydrodynamics (Butterworths, Boston, 1989), p. 302.
27. R. S. Subramanian, "The Stokes force on a droplet in an unbounded fluid medium due to capillary effects," J. Fluid Mech. 153, 389 (1985).
28. R. B. Jones and R. Schmitz, "Mobility matrix for arbitrary spherical particles in solution," Physica A 149, 373 (1988).
29. B. U. Felderhof, "Sedimentation and Convective flow in suspensions of spherical particles," Physic A 153, 217 (1988).
30. B. Cichocki and B. U. Felderhof, "Sedimentaion and self-diffusion in suspensions of spherical particles," Physica A 154, 213 (1989).
31. B. U. Felderhof and R. B. Jones, "Displacement theorems for spherical solutions of the linear Navier-Stokes equations," J. Math. Phys. 30, 339 (1989).
32. E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonics (Cambridge University Press, Cambridge, 1931), p. 139.
33. B. U. Felderhof, G. W. Ford, and E. G. D. Cohen, "Two-particle cluster integral in the expansion of dielectric constant," J. Stat. Phys. 28, 649 (1982).
34. J. K. Percus and G. J. Yevick, "Analysis of classical statistical mechanics by means of collective coordinates," Phys. Rev. 110, 1 (1958).
35. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic. London, 1986).
36. J. W. Perram, "Hard sphere correlation functions in the Percus-Yevick approximation," Mol. Phys. 30, 1505 (1975).