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On the origin of the hole pressure

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Summary

One wall of a slit die apparatus contains a slot filled with the test liquid. Photographs of marked streamlines near the slot mouth show a pronounced curvature. A 0.5% aqueous solution of Separan AP 30 and molten polystyrene and polyethylene were investigated at low values of Reynolds number (Re < 1.0). In each case, streamlines are convex towards the slot mouth. This supports the hypothesis ofTanner andPipkin which attributes hole pressures in flowing viscoelastic liquids to the combined effect of holegenerated streamline curvature and shear-generated normal stress differences.

Zusammenfassung

In einer der Wände einer Schlitzdüsenvorrichtung ist eine mit Testflüssigkeit gefüllte Quernut angebracht. Es wurde die Strömung einer 0,5%-igen wässerigen Separan AP 30-Lösung, sowie einer Polystyrol- und einer Polyäthylenschmelze bei kleinen Reynoldszahlen (Re < 1.0) untersucht. In allen Fällen waren die Stromlinien konvex, also zur Schlitzmündung hin gekrümmt. Dadurch wird die Hypothese vonTanner andPipkin unterstützt, wonach die Lochdrücke in strömenden viskoelastischen Flüssigkeiten als Wirkung der durch die Scherung erzeugten Normalspannungsdifferenzen auf die gekrümmten Stromlinien erklärt werden.

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Authors and Affiliations

  1. Rheology Research Center, University of Wisconsin — Madison, 1500 Johnson Drive Engineering Research Building, 53706, Madison, Wisconsin, USA

    T. -H. Hou, P. P. Tong & L. De Vargas

Authors
  1. T. -H. Hou
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  2. P. P. Tong
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  3. L. De Vargas
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Additional information

Department of Engineering Mechanics.

Material Science Program.

With 4 figures

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Hou, T.H., Tong, P.P. & De Vargas, L. On the origin of the hole pressure. Rheol Acta 16, 544–547 (1977). https://doi.org/10.1007/BF01525654

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  • DOI: https://doi.org/10.1007/BF01525654

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