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Flow of a Viscoelastic Fluid Between Eccentric Rotating Cylinders

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Collected Papers of R.S. Rivlin

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Synopsis

The flow of a viscoelastic fluid in the annular region between two infinite, eccentrically-mounted, rotating cylinders is analyzed. The flow is assumed to be sufficiently slow, so that the second-order Rivlin-Ericksen constitutive equation is applicable and so that inertial effects may be neglected. The resultant forces on the cylinders, as well as the distribution of their normal and tangential components, are calculated. No restrictions are placed on the ratio of the radii or on the distance between the cylinder axes.

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References

  1. N. E. Zhukowski, Commun. Math. Soc. Kharkov, 17, 31 (1887).

    Google Scholar 

  2. G. B. Jeffrey, Proc. Roy. Soc. London, A101, 169 (1922).

    Article  Google Scholar 

  3. G. Duffing, Z. Angew. Math. Mech., 4, 297 (1924).

    Google Scholar 

  4. H. Reissner, Z. Angew. Math. Mech., 15, 81 (1935).

    Article  Google Scholar 

  5. W. Müller, Ing. Arch., 13, 37 (1942).

    Article  Google Scholar 

  6. W. Müller, Ann. Phys., 41, 335 (1942).

    Article  Google Scholar 

  7. W. Müller, Z. Angew. Math. Mech., 22,177 (1942).

    Article  Google Scholar 

  8. G. Wannier, Quart. Appl. Math., 8, 1 (1950).

    Google Scholar 

  9. B. Y. Ballal and R. S. Rivlin, in press.

    Google Scholar 

  10. R. I. Tanner, Phys. Fluide, 9, 1246 (1966).

    Article  Google Scholar 

  11. H. Giesekus, Rheol. Acta, 3, 59 (1963).

    Article  Google Scholar 

  12. G. J. Fix and P. R. Paslay, J. Appl. Mech., 34, 579 (1967).

    Article  Google Scholar 

  13. M. Reiner, M. Hannin, and A. Harnoy, 1sr. J. Technol., 7, 273 (1969).

    Google Scholar 

  14. M. J. Davies and K. Walters, Symposium on Rheology of Lubricants, Nottingham, 65 (1972).

    Google Scholar 

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Authors and Affiliations

  1. Center for the Application of Mathematics, Lehigh University, Bethlehem, Pennsylvania, 18015, USA

    B. Y. Ballal & R. S. Rivlin

Authors
  1. B. Y. Ballal
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  2. R. S. Rivlin
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Editor information

Editors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, CB3 9EW, UK

    Grigori Isaakovich Barenblatt (G.I. Taylor Professor of Fluid Mechanics, Emeritus) (G.I. Taylor Professor of Fluid Mechanics, Emeritus)

  2. Department of Aerospace Engineering, 107 Ackerman Hall, University of Minnesota, 110 Union Street, SE, Minneapolis, MN, 55455, USA

    Daniel D. Joseph

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© 1976 Springer Science+Business Media New York

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Ballal, B.Y., Rivlin, R.S. (1976). Flow of a Viscoelastic Fluid Between Eccentric Rotating Cylinders. In: Barenblatt, G.I., Joseph, D.D. (eds) Collected Papers of R.S. Rivlin. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2416-7_138

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  • DOI: https://doi.org/10.1007/978-1-4612-2416-7_138

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7530-5

  • Online ISBN: 978-1-4612-2416-7

  • eBook Packages: Springer Book Archive

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