Skip to main content
Log in

Slow motion of a bubble in a viscoelastic fluid

  • Published:
Journal of Engineering Mathematics Aims and scope Submit manuscript

Summary

The motion of a deformed spherical body in a fluid medium is significantly different from the motion of an undeformed spherical body in the same medium. It is shown in this work that a bubble moving in a viscoelastic fluid takes the shaper=a+U 0η0/σa(λ 1λ 2)(180R 3+240R 2+816R+672)P 2(cosθ)/960(1+R)3 and so one must expect the dynamics of a bubble moving in a non-Newtonian fluid to be significantly different from that of a bubble moving in a purely viscous fluid.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. O. O. Ajayi, Hydrodynamic interaction between bubbles.M. Phil. thesis, University of London, (1972).

  2. O. O. Ajayi, On the Rotation of a Bubble, (1974), to be published.

  3. C. E. Chaffey, H. Brenner and S. G. Mason,Rheol. Acta, 4 (1965) 64–69.

    Google Scholar 

  4. C. E. Chaffey, H. Brenner and S. G. Mason,Rheol Acta, 6 (1967) 100–107.

    Google Scholar 

  5. G. Hestroni, S. Haber and E. Wacholder, The flow fields in and around a droplet moving axially within a tube,J. Fluid Mech., Vol. 41 (1970) 689–705.

    Google Scholar 

  6. L. M. Hocking, The collision efficiency of small drops,Quart. J. Roy. Met. Soc., 85 (1958) 44–50.

    Google Scholar 

  7. S. Kaplun, Low Reynolds number flow past a circular cylinder,J. Math. Mech., 6 (1957) 595–603.

    Google Scholar 

  8. L. Landau and R. M. Lifshitz, Fluid Mechanics, Pergamon Press, London, (1959).

    Google Scholar 

  9. G. Oldroyd, Non Newtonian effects on steady motion of some idealised elastico-viscous liquids,Proc. Roy. Soc., A245 (1958) 278–297.

    Google Scholar 

  10. S. Saito,Sci. Rept. Tohoku Imp. Univ., 2 (1913) 179.

    Google Scholar 

  11. T. D. Taylor and A. Acrivos, On the deformation and drag of a falling viscous fluid at Low Reynolds number,J. Fluid Mech., Vol. 18 (1964) 466–476.

    Google Scholar 

  12. P. R. Wohl and S. I. Rubinow, The transverse force on a drop in an unbounded parabolic flow,J. Fluid Mech., 62 (1974) 185–207.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ajayi, O.O. Slow motion of a bubble in a viscoelastic fluid. J Eng Math 9, 273–280 (1975). https://doi.org/10.1007/BF01540664

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01540664

Keywords

Navigation