Separation of streamlines for spatially periodic flow at non-zero Reynolds numbers

  • K. Ma
  • D. W. Pravica
Original Papers
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Abstract

The flow generated by a small rotating circular cylinder at the center of a corrugated outer cylinder is considered. By using a Stokes expansion, the first order correction in the Reynolds numberR is found for the creeping flow solution. An approximate critical Reynolds numberR c is found at which separation appears, and it is expressed in terms of the boundary parameters. Separation is found to occur in the concave regions of the boundary skewed opposite to the direction of rotation of the inner cylinder. By partially solving for the second order correction in the Stokes expansion, it is found that an increase inR causes an increase in the torque exerted on the outer boundary.

Keywords

Torque Reynolds Number Mathematical Method Circular Cylinder Outer Boundary 

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References

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Copyright information

© Birkhäuser Verlag 1992

Authors and Affiliations

  • K. Ma
    • 1
  • D. W. Pravica
    • 2
  1. 1.Dept of MathematicsUniversity of TorontoOntarioCanada
  2. 2.Dept of MathematicsStanford UniversityStanfordUSA

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