The motion of a sphere in an incompressible viscous fluid at Reynolds numbers considerably less than one: (A study of the problem of Stokes, Oseen, Lamb, and Faxén, 1845-1960)

Physica Scripta

Volumn 60, Issue 2, 1999, Pages 97-110

  Lindgren, E Rune ^a,b  

^a UNIVERSITY OF FLORIDA   (United States)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; INCOMPRESSIBLE FLOW; REYNOLDS NUMBER; SPHERES; VISCOSITY OF LIQUIDS;

INCOMPRESSIBLE VISCOUS FLUIDS;

VISCOUS FLOW;

EID: 0032595937     PISSN: 00318949     EISSN: None     Source Type: Journal    
DOI: 10.1238/Physica.Regular.060a00097     Document Type: Article

References (22)

1. Stokes, G. G., Cambridge Trans. 8, 287 (1845) of Papers 1, 75 (1845).
2. Stokes, G. G., Cambridge Trans. 8, 287 (1845) of Papers 1, 75 (1845).
3. Stokes, G. G. ibid. 9, 8 (185 1) or Papers 3, 1 (1851).
4. Stokes, G. G. ibid. 9, 8 (185 1) or Papers 3, 1 (1851).
5. Oseen, C. W., Arkiv Matem. Astron. Fysik 6, no 3 (1910).
6. Oseen, C. W., ibid. 6, no 4 (1910).
7. Oseen, C. W., ibid. 6, no 29 (1910).
8. Lamb, H., Phil. Mag. (6) 21, 112 (1911).
9. Lamb, H., "Hydrodynamics", 4th ed. (Cambridge Univ. Press, 1916).
10. ibid. 5th ed. (Cambridge Univ. Press, 1924).
11. ibid. 6th ed. (Cambridge Univ. Press, 1932). (There is also a Dover Reprint issue of the 6th ed. (1973)).
12. Oseen, C. W., Arkiv Matem. Astron. Fysik 9, no 16 (1913).
13. Faxén, H., "Einwirkung der Gefässwände auf den Widerstand gegen die Bewegung einer kleinen Kugel in einer zähen Flüssigikeit", (Doctoral thesis, Uppsala University, 1921).
14. Faxén, H., Arkiv Matem. Astron. Fysik 17, no 27 (1923).
15. Noether, Fritz, Zeits. Math. Phys. 62, 1 (1911).
16. Oseen, C. W., Arkiv Matem. Astron. Fysik 18, no 17 (1924).
17. Oseen, C. W., "Hydrodynamik", (Akademische Verlagsgesellschaft, Leipzig, 1927).
18. Bohlin, T., Trans. R. Inst. Technol. Stockholm, 155, (1960).
19. Haberman, W. L. and Sayre, R. M., "Motion of Rigid and Fluid Spheres in Stationary and Moving Liquids Inside Cylindrical Tubes", David Taylor Model Basin Report 1143 (NS715-102), October 1958.
20. Proudman, I. and Pearson, J. R. A., J. Fluid Mech. 2, 237 (1957).
21. Schlichting, H. "Boundary Layer Theory", 6th ed. (McGraw-Hill Book Company, New York, Verlag G. Braun, Karlsruhe, 1968).
22. Jenson, V. G., Proc. R. Soc. London A249, 346 (1959).