Slow motion of a slip spherical particle parallel to one or two plane walls

Journal of the Chinese Institute of Chemical Engineers

Volumn 34, Issue 1, 2003, Pages 123-133

  Chen, Po Y ^a   Keh, Huan J ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Aerosol sphere; Boundary effect; Creeping flow; Drag force and torque; Slip flow surface

Indexed keywords

BOUNDARY CONDITIONS; CREEP; HYDRODYNAMICS; TORQUE; VISCOSITY;

STOKES EQUATIONS;

CHEMICAL ENGINEERING;

AEROSOL; BOUNDARY ELEMENT METHOD; CREEP; DRAG; FLUID FLOW; MATHEMATICAL ANALYSIS; MODELING;

EID: 0038743283     PISSN: 03681653     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. Basset, A. B., A Treatise on Hydrodynamics, Vol. 2, Dover, New York, U.S.A. (1961).
2. Chen, S. H. and H. J. Keh, "Axisymmetric Motion of Two Spherical Particles with Slip Surfaces," J. Colloid Interface Sci., 171, 63 (1995).
3. Davis, M. H., "Collisions of Small Cloud Droplets: Gas Kinetic Effects," J. Atoms. Sci., 29, 911 (1972).
4. Dean, W. R. and M. E. O'Neill, "A Slow Motion of Viscous Liquid Caused by the Rotation of a Solid Sphere," Mathematica., 10, 13 (1963).
5. Ganatos, P., S. Weinbaum and R. Pfeffer, "A Strong Interaction Theory for the Creeping Motion of a Sphere between Plane Parallel Boundaries. Part 2. Parallel Motion," J. Fluid Mech., 99, 755 (1980).
6. Goldman, A. J., R. G. Cox and H. Brenner, "Slow Viscous Motion of a Sphere Parallel to a Plane Wall-I. Motion through a Quiescent Fluid," Chem. Eng. Sci., 22, 637 (1967).
7. Hadamard, J. S., "Mouvement Permanent Lent d'Une Sphere Liquid et Visqueuse dans Un Liquide Visqueux," Compt. Rend. Acad. Sci. (Paris), 152, 1735 (1911).
8. Happel, J. and H. Brenner, Low Reynolds Number Hydrodynamics., Nijhoff, Dordrecht, The Netherlands (1983).
9. Hutchins, D. K., M. H. Harper and R. L. Felder, "Slip Correction Measurements for Solid Spherical Particles by Modulated Dynamic Light Scattering," Aerosol Sci. Technol., 22, 202 (1995).
10. Keh, H. J. and J. H. Chang, "Boundary Effects on the Creeping-Flow and Thermophoretic Motions of an Aerosol Particle in a Spherical Cavity," Chem. Eng. Sci., 53, 2365 (1998).
11. Keh, H. J. and P. Y. Chen, "Slow Motion of a Droplet between Two Parallel Plane Walls," Chem. Eng. Sci., 56, 6863 (2001).
12. Kennard, E. H., Kinetic Theory of Gases, McGraw-Hill, New York, U.S.A. (1938).
13. Kim, S. and S. J. Karrila, Microhydrodynamics: Principles and Selected Applications, Butterworth-Heinemann, Boston, MA, U.S.A. (1991).
14. Loyalka, S. K., "Slip and Jump Coefficients for Rarefied Gas Flows: Variational Results for Lennard-Jones and n(r)-6 Potentials," Physica A., 163, 813 (1990).
15. O'Brien, V., "Form Factors for Deformed Spheroids in Stokes Flow," AIChE J., 14, 870 (1968).
16. O'Neill, M. E., "A Slow Motion of Viscous Liquid Caused by a Slowly Moving Solid Sphere," Mathematika, 11., 67 (1964).
17. Reed, L. D. and F. A. Morrison, "Particle Interactions in Viscous Flow at Small Values of Knudsen Number," J. Aerosol Sci., 5, 175 (1974).
18. Rybczynski, W., "Uber Die Fortschreitende Bewegung Einer Flussigen Kugel in Einem Zahen Medium," Bull. Acad. Sci. Cracovie Ser. A, 1, 40 (1911).
19. Stokes, G. G., "On the Effect of the Internal Friction of Fluid on Pendulums," Trans. Camb. Phil. Soc., 9, 8 (1851).
20. Talbot, L., R. K. Cheng, R. W. Schefer and D. R. Willis, "Thermophoresis of Particles in Heated Boundary Layer," J. Fluid Mech., 101, 737 (1980).
21. Ying, R. and M. H. Peters, "Interparticle and Particle-Surface Gas Dynamic Interactions," Aerosol Sci. Technol., 14, 418 (1991).