Rheologica Acta

, Volume 11, Issue 2, pp 170–178 | Cite as

Peristaltic motion of a non-Newtonian fluid

  • K. K. Raju
  • R. Devanathan
Originals

Summary

To understand theoretically the flow properties of physiological fluids, we have considered as a model the peristaltic motion of a power law fluid in a tube, with a sinusoidal wave of small amplitude travelling down its wall. The solution for the stream function is obtained as a power series in terms of the amplitude of the wave. The stream function and the velocity components are evaluated by solving numerically two point boundary value problems with a singular point at the origin. The influence of the applied pressure gradient along with non-Newtonian parameters on the streamlines and velocity profiles are discussed in detail.

Keywords

Polymer Pressure Gradient Velocity Profile Singular Point Velocity Component 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1).
    Skalak, R., Proc. Symposion on Biomechanics, ASME. (Ed.Y. C. Fung, p. 20.) (p. 20. 1966.)Google Scholar
  2. 2).
    Rudinger, G., Biomedical fluid mechanics symposium, sponsored by Fluid Mechanics Committee, ASME, 1966, p. 1.Google Scholar
  3. 3).
    Shapiro, A. H., Proceedings, workshop on Ureteral Reflux in children, Washington, D.C., National Academy of Science, Natural Research Council, 1967, p. 109.Google Scholar
  4. 4).
    Shapiro, A. H., M. Y. Jaffrin, andS. L. Weinberg, Fluid mechanics laboratory publication No. 68.5, Department of Mechanical Engineering, Massachusetts Institute of Technology, Sept. 1968.Google Scholar
  5. 5).
    Latham, T. W. andA. H. Shapiro, (Abstract) Proc. Annual Conf. on Engg. in Medicine and Biology, San Francisco. (Ed.)G. G. Vurek, vol. 8, 1966, p. 147.Google Scholar
  6. 6).
    Burns, J. C. andT. Parkes, J. Fluid Mech.29, 731 (1967).Google Scholar
  7. 7).
    Fung, Y. C. andC. S. Yih, J. App. Mech., Trans. ASME.,35E, 669 (1968).Google Scholar
  8. 8).
    Yin, F. andY. C. Fung, J. App. Mech., Trans. ASME.,36E, 579 (1969).Google Scholar
  9. 9).
    Chow, T. S., J. App. Mech., Trans. ASME.,37E, 901 (1970).Google Scholar
  10. 10).
    Kanaka Raju, K., Flow of a non-Newtonian fluid in a tube with sinusoidal deformation. (To appear in 1972 Proc. Phys. Soc. JapanGoogle Scholar
  11. 11).
    Yin, F. andY. C. Fung, J. Fluid Mech.47, 93 (1971).Google Scholar

Copyright information

© Dr. Dietrich Steinkopff Verlag 1972

Authors and Affiliations

  • K. K. Raju
    • 1
  • R. Devanathan
    • 1
  1. 1.Department of Applied MathematicsIndian Institute of ScienceBangaloreIndia

Personalised recommendations