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On the continuous squeezing flow in a wedge

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Abstract

The paper is concerned with the continuous squeezing flow of Oldroyd-type fluids in a two-dimensional wedge. The flow mimics the lubrication action in a squeezing flow and is important in that there exists a similarity solution for any simple fluid. We are only concerned with Oldroyd-type fluids, however. It is shown by using a parameter continuation method that the Oldroyd-B model has a limiting Weissenberg number. The Phan Thien/Tanner model does not have this limiting Weissenberg number.

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References

  1. Keunings R (1986) J Non-Newt Fluid Mech 20:209

    Google Scholar 

  2. Phan-Thien N (1983) J Non-Newt Fluid Mech 13:325

    Google Scholar 

  3. Bird RB, Hassager O, Armstrong RC (1988) Dynamics of Polymeric Liquids: vol 1, Fluid Mechanics, 2nd ed. Wiley, New York, pp. 400

    Google Scholar 

  4. Walsh WP (1987) ZAMP 38:495

    Google Scholar 

  5. Ji Z, Rajagopal KR, Szeri AZ (1990) J Non-Newt Fluid Mech 36:1

    Google Scholar 

  6. Berman NS, Parsch MA (1986) J Rheol 30:441

    Google Scholar 

  7. Magda JJ, Larson RG (1988) J Non-Newt Fluid Mech 30:1

    Google Scholar 

  8. Tanner RI (1988) Engineering Rheology, 2nd ed. Oxford Press, London

    Google Scholar 

  9. Larson RG (1988) Constitutive Equations for Polymer Melts and Solutions. Butterworth, Massachusetts

    Google Scholar 

  10. Phan-Thien N (1984) J Non-Newt Fluid Mech 16:329

    Google Scholar 

  11. Keller HB (1977) Applications in Bifurcation Theory. Rabinowitz P (ed), Academic Press, New York

    Google Scholar 

  12. Kubiček M, Marek M (1983) Computational Methods in Bifurcation Theory and Dissipative Structures. Springer, New York

    Google Scholar 

  13. Rheinboldt WC, Burkhardt JV (1983) ACM Trans Math Software 9:215

    Google Scholar 

  14. Oliver DR, Ashton RC, Wadelin GD (1978) Appl Sci Res 34:25

    Google Scholar 

  15. Renardy M (1985) ZAMM 65:449 J Non-Newt Fluid Mech (1990) 36:419

    Google Scholar 

  16. Jin H, Phan-Thien N, Tanner RI (1991) J Non-Newt Fluid Mech (submitted)

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Phan-Thien, N., Zheng, R. On the continuous squeezing flow in a wedge. Rheola Acta 30, 491–496 (1991). https://doi.org/10.1007/BF00396533

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  • DOI: https://doi.org/10.1007/BF00396533

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