Summary
The motion of an inner non-Newtonian fluid sphere at the instant it passes the centre of a rigid spherical container is investigated. The inner and outer fluid motions have been determined and the drag on the inner sphere evaluated. Well-known cases are deduced and wall effects then examined.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Cunningham, E.: On the velocity of steady fall of spherical particles through fluid medium. Proc. Roy. Soc. (London)A 83, 357–369 (1910).
Williams, W. E.: On the motion of a sphere in a viscous fluid. Phil. Mag. (6th ser.)29, 526–540 (1915).
Haberman, W. L., Sayre, R. M.: Wall effects for rigid and fluid spheres in slow motion with a moving liquid. David Taylor model. Basin Report no. 1143, Washington D.C. (1958).
Ramkissoon, H.: A slip flow problem. J. Math. Sci.8, 59–63 (1997).
Reiner, M.: A mathematical theory of dilatancy. Amer. J. Math.67, 350–370 (1945).
Ramkissoon, H.: Stokes flow past a Reiner-Rivlin liquid sphere. Z. Angew. Math. Mech.69, 259–263 (1989).
Happel, J., Brenner, H.: Low Reynolds number hydrodynamics, Ch. 4. London: Prentice-Hall 1965.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ramkissoon, H., Rahaman, K. Non-Newtonian fluid sphere in a spherical container. Acta Mechanica 149, 239–245 (2001). https://doi.org/10.1007/BF01261675
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01261675