Skip to main content
Log in

Slow motion and viscometric motion. Part V: the free surface on a simple fluid flowing down a tilted trough

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

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.

References

  • Beavers, G.S., & D.D. Joseph, The rotating rod viscometer. J. Fluid Mech. 69, 475–511 (1975).

    Google Scholar 

  • Ericksen, J.L., Secondary flow phenomena in non-linear fluids. Tappi 42, 773–775 (1959).

    Google Scholar 

  • Giesekus, H., Einige Bemerkungen zum Fliessverhalten elasto-viskoser Flüssigkeiten in stationären Schichtströmungen. Rheol. Acta 1, 404–413 (1961).

    Google Scholar 

  • Joseph, Daniel D., Domain perturbations: The higher order theory of infinitesimal water waves. Arch. Rational Mech. Anal. 51, 295–303 (1973).

    Google Scholar 

  • Joseph, Daniel D., Slow motion and viscometric motion: Stability and bifurcation of the rest state of a simple fluid. Arch. Rational Mech. Anal. 56, 99–157 (1974).

    Google Scholar 

  • Joseph, D.D., G.S. Beavers & R.L. Fosdick, The free surface on a liquid between cylinders rotating at different speeds. Part II. Arch. Rational Mech. Anal. 49, 381–401 (1973).

    Google Scholar 

  • Joseph, D.D., & L.D. Sturges, The free surface on a liquid filling a trench heated from its side. J. Fluid Mech. 69, 565–589 (1975).

    Google Scholar 

  • Kuo, Y., & R.I. Tanner, Laminar Newtonian flow in open channels with surface tension. Int. J. Mech. Sci. 14, 861–873 (1972).

    Google Scholar 

  • Kuo, Y., & R.I. Tanner, On the use of open-channel flows to measure the second normal stress difference. Rheol. Acta 13, 443–456 (1974).

    Google Scholar 

  • Langlois, W.R., & R.S. Rivlin, Slow steady state flow of viscoelastic fluids through non-circular tubes. Rend di Mat. dell'Univ. di Roma 22, 169–185 (1963).

    Google Scholar 

  • Pipkin, A.C., & R.I. Tanner, A survey of theory and experiment in viscometric flows of viscoelastic liquids, in Mechanics Today, S. Nemat-Nasser (ed.), Oxford: Pergamon Press, Vol 1, 262–321 (1972).

    Google Scholar 

  • Smith, R. C. T., The bending of a semi-infinite strip, Australian J. Sci. Res. 5, 227–237 (1952).

    Google Scholar 

  • Tanner, R.I., Some methods for estimating the normal stress functions in viscometric flows, Trans. Soc. Rheol. 14, 483–507 (1970).

    Google Scholar 

  • Wineman, A.S., & A.C. Pipkin, Slow viscoelastic flow in tilted troughs, Acta Mechanica 2, 104–115 (1966).

    Google Scholar 

  • Sokolnikoff, I.S., & R.M. Redheffer, Mathematics of Physics and Modern Engineering. New York: McGraw-Hill Book Co. Inc., 1958, p. 190.

    Google Scholar 

  • Kuo, Y., The determination of the second normal stress difference in viscoelastic flows. Ph. D thesis, Brown University (1973).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sturges, L., Joseph, D.D. Slow motion and viscometric motion. Part V: the free surface on a simple fluid flowing down a tilted trough. Arch. Rational Mech. Anal. 59, 359–387 (1975). https://doi.org/10.1007/BF00250425

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00250425

Keywords

Navigation