Rheology pp 365-370 | Cite as

Application of Thermodynamics to Stability of Flow and Drag Reduction

  • W. M. Jones


Dimensionless numbers exist to describe the onset of secondary flows and the onset of turbulence, in various geometries. For example, in flow in bent pipes and in porous materials secondary flows suddenly begin to contribute to the pressure gradient when the Dean number L’ = 276; in Couette flow between coaxial cylinders (inner rotating) secondary flows suddenly contribute to the torque when the Taylor number Ta ≃ 3400; in flow through straight pipes the flow becomes turbulent when the Reynolds number Re < 1000.


Secondary Flow Drag Reduction Couette Flow Coaxial Cylinder Taylor Number 
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Bibliography for References and Further Details of Work Cited

  1. Astarita G and Sarti G C 1976 J. Non-Newt Fluid Mech 1, 39CrossRefGoogle Scholar
  2. Jarecki L 1979 Coll Polym Sci 257, 711CrossRefGoogle Scholar
  3. Jones W M and Williams I B 1963 Brit J Appl Phys 14, 877ADSCrossRefGoogle Scholar
  4. Jones W M 1976 J Phys D Appl Phys 9, 721–70ADSCrossRefGoogle Scholar
  5. Jones W M 1979 J Phys D Appl Phys 12, 369ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • W. M. Jones
    • 1
  1. 1.Department of PhysicsU. C. W., PenglaisAberystwyth, DyfedUK

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