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Torque on a sphere inside a rotating cylinder

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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.

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Authors and Affiliations

  1. Dept. of Applied Mathematics, University College of Wales, Aberystwyth, UK

    Baltasar Mena

  2. Div. of Engineering, Brown University, Providence, R.I., USA

    Ernest Levinson & Bruce Cawwell

Authors
  1. Baltasar Mena
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  2. Ernest Levinson
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  3. Bruce Cawwell
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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

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  • DOI: https://doi.org/10.1007/BF01593082

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