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Applied Scientific Research, Section A

, Volume 12, Issue 2, pp 199–212 | Cite as

Flow of a Bingham fluid in a slightly curved tube

  • D. B. Clegg
  • G. Power
Article

Summary

A theoretical analysis is made of the flow of an incompressible Bingham fluid in a slightly curved circular pipe. For the purpose of the analysis the curvature of the pipe has been taken such that the radius of the circle in which the central line of the pipe is coiled is large in comparison with the radius of cross-section. A solution is developed by successive approximations from the perturbation of flow of a Bingham fluid in a straight pipe. The streamlines in the plane of symmetry are illustrated, as well as the projections of the stream surfaces on a normal section, for assumed thickness of plug of material in the centre of the pipe.

Keywords

Stress Equation Central Plane Circular Pipe Stream Surface Newtonian Liquid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1).
    Bingham, E. C, Fluidity and Plasticity (1922) 215–218.Google Scholar
  2. 2).
    Houwink, R., Elasticity, Plasticity and Structure of Matter (1937), 10.Google Scholar
  3. 3).
    Oldroyd, J. G., Proc. Camb. Phil. Soc.43 (1947) 100.MATHCrossRefMathSciNetGoogle Scholar
  4. 4).
    Oldroyd, J. G., Proc. Camb. Phil. Soc.43 (1947) 396.MATHCrossRefMathSciNetGoogle Scholar
  5. 5).
    Reiner, M. and R. S. Rivlin, Kolloid Zhur,43 (1930) 1.CrossRefGoogle Scholar
  6. 6).
    Buckingham, F., Proc. Am. Soc. Testing Materials21 (1921) 1154.Google Scholar
  7. 7).
    Reiner, M., Kolloid Zhur,39 (1926) 80.CrossRefGoogle Scholar
  8. 8).
    Dean, W. R., Phil. Mag.4 (1927) 208.Google Scholar
  9. 9).
    Jones, J. R., Quart. J. Mech. Appl. Math.13 (1960) 428.MATHMathSciNetGoogle Scholar
  10. 10).
    Dean, W. R., Phil. Mag.5 (1928) 673.Google Scholar
  11. 11).
    Eustice, J., Proc. Roy. Soc. A.85 (1911) 119.CrossRefADSGoogle Scholar

Copyright information

© Martinus Nijhoff, The Hague/Kluwer Academic Publishers 1963

Authors and Affiliations

  • D. B. Clegg
    • 1
  • G. Power
    • 1
  1. 1.University of NottinghamEngland

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