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The influence of vibration on Poiseuille flow of a non-Newtonian fluid, I.

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Collected Papers of R.S. Rivlin

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Abstract

It has been observed by Mena 1) that when a polymer solution flows through a tube of circular cross-section under a constant pressure gradient, the rate of discharge is increased if the tube is subjected to a longitudinal sinusoidal vibration. It is shown in the present paper how this effect can be predicted on the basis of two different assumptions regarding the constitutive equation for the fluid.

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References

  1. Langlois, W. E., R. S. Rivlin, Steady flow of slightly viscoelastic fluids. Technical Report No. DA-4725/3 (Division of Applied Mathematics, Brown University, Providence, R. I., 1959).

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  2. Coleman, B. D., W. Noll, Arch. Rational Mech. Anal. 6, 355 (1960).

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  3. Olver, F. W. J., Handbook of Mathematical Functions, Abramowitz, M., I. A. Stegun (eds.): (U.S. Government Printing Office, Washington, D. C. 355, 1970).

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Author information

Authors and Affiliations

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

    J. Y. Kazakia & R. S. Rivlin

Authors
  1. J. Y. Kazakia
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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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© 1978 Springer Science+Business Media New York

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Kazakia, J.Y., Rivlin, R.S. (1978). The influence of vibration on Poiseuille flow of a non-Newtonian fluid, I.. 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_143

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  • DOI: https://doi.org/10.1007/978-1-4612-2416-7_143

  • 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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