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On the hydrodynamics of visco-elastic fluids

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Summary

The hydrodynamical equations of motion for a visco-elastic fluid are established. The exact solution for periodic laminar flow in a cylindrical tube and an approximate solution for flow in a film of variable thickness are given. The importance of the elasticity number N=τν/R2, determining the ratio of elastic to inertia forces, is pointed out.

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References

  1. Reiner, M., Ten lectures on theoretical Rheology, Jerusalem 1943.

  2. Kuvshinsky, Zh. exp. teor. Fiz.21 (1951) 88.

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  3. Richardson, E. G., Dynamics of real fluids, London 1950.

  4. Kahlert, W., Ing. Arch. XVI,321 1948.

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Authors
  1. L. J. F. Broer
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Additional information

Mededeling no. 84 uit hot Laboratorium voor Aero-en Hydrodynamica van de Technische Hogeschool te Delft, Nederland

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Broer, L.J.F. On the hydrodynamics of visco-elastic fluids. Appl. sci. Res. 6, 226–236 (1956). https://doi.org/10.1007/BF03185038

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  • DOI: https://doi.org/10.1007/BF03185038

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