Summary
The couple on a sphere in the centre of a finite rotating circular cylinder is measured over a wide range of Reynolds numbers for both Newtonian and non-Newtonian fluids. Wall effects are calculated. Experimental results are compared with Collins' analysis. Secondary flow is made visible. For non-Newtonian fluids the apparatus determines accurately the zero shear rate viscosity.
Résumé
Le couple sur une sphère dans un cylindre circulaire rotatoire est mesuré pour des divers nombres de Reynolds et pour des fluides Newtoniens et non-Newtoniens. L'effet des parois sur le couple est calculé. Les resultats obtenus sont comparés avec l'analyse de Collins. Pour les fluides non-Newtoniens l'appareil determine la viscosité de zéro cisaillement.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
H. Lamb,Hydrodynamics, 6th Ed. (Cambridge University Press, 1932).
K. Walters andN. D. Waters, Rheol. Acta3, 312 (1964).
K. Walters andN. D. Waters, Brit. J. appl. Phys.14, 667 (1963).
W. D. Collins, Mathematica2, 42 (1955).
K. Walters andJ. G. Savins, Trans. Soc. Rheol.9, 407 (1965).
G. B. Jeffrey, Proc. Lond. Math. Soc.14, 327 (1915).
M. G. Palekar, J. appl. Math. Phys. (ZAMP)16, 502 (1965).
J. Happel andH. Brenner,Low Reynolds Number Hydrodynamics (Prentice-Hall, 1965).
B. Caswell, Chem. Eng. Sci.25, 1167 (1970).
H. Brenner, Appl. Sci. Res. [A]13, 81 (1962).
B. Mena, Sc.M. thesis (Brown University, Providence R.I., USA 1969).
E. Levinson, Sc.M. thesis (Brown University, Providence R.I., USA 1971).
D. Shanks, J. Math. Phys.25, 1 (1955).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mena, B., Levinson, E. & Cawwell, B. Torque on a sphere inside a rotating cylinder. Journal of Applied Mathematics and Physics (ZAMP) 23, 173–181 (1972). https://doi.org/10.1007/BF01593082
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01593082