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Unsteady curvilineal flow of an incompressible simple fluid between two rotating concentric spheres

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Summary

Unsteady curvilineal flow of an incompressible simple fluid (based on Noll's theory) representing the flow between two rotating concentric spheres is considered. The outer sphere is assumed to undergo forced harmonic oscillations about a vertical axis through its centre, while the inner sphere is constrained by a torsionwire. It is found that exact solution in terms of Bessels functions exists under certain conditions on the shear stress function and the normal stress functions.

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References

  1. [1]

    C. Truesdell andW. Noll,The non-linear field theories of Mechanics, Handbuch der Physik,111/3. Springer-Verlag (1965).

  2. [2]

    T. K. Choudhury andJ. Dutta,Note on a steady curvilineal flow of an incompressible simple fluid, Communicated to ‘Indian Journal of Mechanics and Mathematics’.

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Dutta, J., Chaudhury, T.K. Unsteady curvilineal flow of an incompressible simple fluid between two rotating concentric spheres. PAGEOPH 102, 161–166 (1973). https://doi.org/10.1007/BF00876603

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Keywords

  • Shear Stress
  • Exact Solution
  • Normal Stress
  • Vertical Axis
  • Bessels Function