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On the behaviour of a sphere in the laminar tube flows

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Summary

The behaviour of a spherical particle in the no flow system and the laminar flow system was studied experimentally, using the square- and circular-section tube. And, the following facts became evident:

  1. 1.

    The falling sphere in the still liquid moves away from the tube wall and this lateral motion is accompanied with the rotation.

  2. 2.

    The sphere suspended neutrally in the laminar tube flow, lags behind the liquid and rotates like the prediction of the parabolic distribution of velocity. But, in such a flow state, the inversion of rotation is not observed.

  3. 3.

    The lateral migration of the sphere suspended neutrally in the laminar tube flows, depends, mainly, on the dimension ratio of sphere and tube. If this ratio becomes about 0.2, the tubular pinch effect is observed clearly and is characterized by two dimensionless quantities.

Besides, on the mechanism of the tubular pinch effect, a proposal was done on the basis of the observed results.

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With 10 figures and 3 tables

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Tachibana, M. On the behaviour of a sphere in the laminar tube flows. Rheol Acta 12, 58–69 (1973). https://doi.org/10.1007/BF01526901

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  • DOI: https://doi.org/10.1007/BF01526901

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