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A note on streaming double refraction in a dilute suspension of rigid spheroids subject to weak Brownian rotations

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Summary

The phenomenon of streaming double refraction is examined theoretically for simple shear flow of a dilute suspension of rigid spheroids which are subject to weak Brownian rotations. In particular, we employ recently derived expressions for the statistical distribution of particle orientations in the limit of weak rotaryBrown-ian motion to calculate the corresponding limiting behavior of the extinction angleχ and the birefringenceΔn. These are compared with the earlier results ofScheraga, Edsall, andGadd (17), who utilized a slowly convergent series solution due toPeterlin andStuart for the orientation distribution. The familiar stressoptical relations which have been proposed for various polymeric materials are found to be inapplicable for a suspension of the type considered.

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Author notes

  1. L. G. Leal

    Present address: Department of Chemical Engineering, California Institute of Technology, Pasadena, California, USA

  2. E. J. Hinch

    Present address: Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, England

Authors and Affiliations

  1. Department of Chemical Engineering, California Institute of Technology, Pasadena, California, USA

    E. J. Hinch

  2. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, England

    L. G. Leal

Authors
  1. L. G. Leal
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  2. E. J. Hinch
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Leal, L.G., Hinch, E.J. A note on streaming double refraction in a dilute suspension of rigid spheroids subject to weak Brownian rotations. Rheol Acta 11, 190–198 (1972). https://doi.org/10.1007/BF01993019

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  • DOI: https://doi.org/10.1007/BF01993019

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