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Flow near an oscillating cylinder in dilute viscoelastic fluid

An Erratum to this article was published on 13 February 1975

Abstract

THERE are many natural phenomena in which nonlinear interactions of time-dependent inputs give rise to steady—that is, time-independent outputs. One of these is a steady streaming belonging to a class of secondary flows sometimes called acoustic streaming. It occurs when a circular cylinder oscillates normal to its axis in an unbounded Newtonian fluid1–3. We report here on the steady secondary flow induced when a long thin cylinder oscillates as described in a viscoelastic liquid. We found that the direction of steady streaming is opposite to that found for the bulk of fluid when the experiment is performed with a Newtonian fluid.

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References

  1. Rayleigh, Lord, The Theory of Sound, 2 333 (Dover Publications, New York, 1945).

    MATH  Google Scholar 

  2. Schlichting, H., Boundary-Layer Theory, 6th ed., 411 (McGraw-Hill, New York, 1968).

    Google Scholar 

  3. Bertelson, A., Svardal, A., and Tjøtta, S., J. Fluid Mech., 59, 493 (1973).

    Article  ADS  Google Scholar 

  4. Giesekus, H., Proc. 4th int. Congr. Rheol., 1, (edit. by Lee, E. H., and Copley, A. L.), 249, (Interscience, New York, 1965).

    Google Scholar 

  5. Hill, C. T., Huppler, J. D., and Bird, R. B., Chem. Engng Sci., 21, 815 (1966).

    Article  CAS  Google Scholar 

  6. Hill, C. T., Trans. Soc. Rheol., 16, 213 (1972).

    Article  Google Scholar 

  7. Tatsuno, M., J. phys. Soc. Japan, 35, 915 (1973).

    Article  ADS  Google Scholar 

  8. Gadd, G. E., Encyclopedia of Polymer Science and Technology, 15, 224 (Interscience-Wiley, New York, 1971).

    Google Scholar 

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CHANG, C., SCHOWALTER, W. Flow near an oscillating cylinder in dilute viscoelastic fluid. Nature 252, 686–688 (1974). https://doi.org/10.1038/252686a0

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