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Rheologica Acta

, Volume 6, Issue 1, pp 15–27 | Cite as

Secondary flow of Rivlin-Ericksen fluids between two concentric spheres oscillating about a fixed diameter

  • Renuka Rajagopalan
  • R. K. Bhatnagar
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  • 34 Downloads

Summary

The paper deals with the study of the nature of secondary flow of aRivlin-Ericksen fluid, contained between two concentric spheres, which perform oscillations about a fixed diameter. The steady part of the secondary flow is discussed in detail in the following three cases (i) the outer sphere at rest, the inner oscillating, (ii) the two spheres oscillating with the same angular velocity in the same sense and (iii) the spheres oscillating with the same angular velocity in opposite sense. In a previous paper, a similar problem was discussed for theOldroyd fluids. We find that the secondary flow is strongly dependent on the common frequency of oscillation of the two spheres and on the rotational nature of the motion for the present investigation also. Certain contrasting features of interest between the secondary flow field of the two fluids are also noted.

Keywords

Polymer Flow Field Angular Velocity Secondary Flow Outer Sphere 
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).
    Bhatnagar, P. L., Renuka Rajagopalan, (Miss) andR. K. Bhatnagar (tender print in J. Phys. Soc. of Japan).Google Scholar
  2. 2).
    Oldroyd, J. G., Proc. Roy. Soc.200 A, 523, 1950.Google Scholar
  3. 3).
    Rivlin, R. S. andJ. L. Ericksen, J. Rat. Mech. Anal.4, 329, 1955.Google Scholar
  4. 4).
    Bhatnagar, P. L. and (Miss)G. K. Rajeswari, Indian J. Math.5, 93, 1963.Google Scholar
  5. 5).
    Frater, K. R., J. Fluid Mech.19, 175, 1964.Google Scholar

Copyright information

© Dr. Dietrich Steinkopff Verlag 1967

Authors and Affiliations

  • Renuka Rajagopalan
    • 1
  • R. K. Bhatnagar
    • 1
  1. 1.Department of Applied MathematicsIndian Institute of ScienceBangaloreIndia

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