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Sliding and squeezing flow of a viscoelastic fluid in a wedge

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Abstract

The paper reports an exact three-dimensional similarity solution for the Oldroyd fluid B. The flow involved is generated by closing as well as sliding the boundaries of a two-dimensional wedge. It is found that the squeezing motion is independent of the sliding motion, but not vice-versa. The squeezing load is shown to be a decreasing function of the Weissenberg number, while the frictional coefficient is only weakly-dependent on the Weissenberg number.

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References

  1. A. C. Pipkin and R. I. Tanner,A survey of theory and experiment in viscometric flows of viscoelastic liquids. InMechanics Today, Vol. 1, S. Nemat-Nasser (ed.) Pergamon, Oxford 1972.

    Google Scholar 

  2. A. M. Hull,An exact solution for the slow flow of a general linear viscoelastic fluid through a slit, J. non-Newt. Fluid Mech.,8, 327–336 (1981).

    Google Scholar 

  3. N. Phan-Thien,Squeezing a viscoelastic liquid from a wedge: an exact solution. J. non-Newt. Fluid Mech.,16, 329–345 (1984).

    Google Scholar 

  4. N. Phan-Thien, J. Dudek, D. V. Boger and V. Tirtaatmadja,Squeeze film flow of ideal elastic liquids. J. non-Newt. Fluid Mech.,18, 227–254 (1985).

    Google Scholar 

  5. N. Phan-Thien,Squeezing of an Oldroyd-B fluid from a tube: limiting Weissenberg number. Rheological Acta,24, 15–21 (1985).

    Google Scholar 

  6. R. G. Larson,Analytic results for viscoelastic flow in a porous tube. J. non-Newt. Fluid Mech.,28, 349–371 (1988).

    Google Scholar 

  7. N. Phan-Thien,Squeezing a viscoelastic fluid from a cone. Rheological Acta,24, 119–126 (1985).

    Google Scholar 

  8. N. Phan-Thien,Coaxial-disk flow and flow about a rotating disk of a Maxwellian fluid. J. Fluid Mech.,128, 427–442 (1983).

    Google Scholar 

  9. N. Phan-Thien,Coaxial-disk flow of an Oldroyd-B fluid: exact solution and stability. J. non-Newt. Fluid Mech.,13, 325–340 (1983).

    Google Scholar 

  10. N. Phan-Thien,A three-dimensional stretching flow of an Oldroyd fluid. Quart. Appl. Maths.,XLV, 23–37 (1987).

    Google Scholar 

  11. R. B. Bird, O. Hassager, R. C. Armstrong and C. F. Curtiss,Dynamics of Polymeric Liquids: Vol. II Kinetic Theory, 2nd Ed., John Wiley and Sons, New York 1988.

    Google Scholar 

  12. D. V. Boger,Dilute Polymer Solutions and Their Use to Model Polymer Processing Flows, inInterrelations between Processing Structure and Properties of Polymeric Materials, J. C. Seferis and P. S. Theocaris (eds.), Elsevier, Amsterdam 1985.

    Google Scholar 

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Phan-Thien, N. Sliding and squeezing flow of a viscoelastic fluid in a wedge. Z. angew. Math. Phys. 41, 431–440 (1990). https://doi.org/10.1007/BF00959990

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