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Stagnation point flow of a second-order viscoelastic fluid

Strömung einer viskoelastischen Flüssigkeit zweiter Ordnung in Staupunktsnähe

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Summary

The boundary-layer equations are solved for the case of two-dimensional flow of a second-order viscoelastic fluid near a stagnation point. It is shown that the effect of viscoelasticity is not only to increase the wall-shear stress but also to cause oscillations in the velocity profile. It is further shown that the constitutive equation for the second-order viscoelastic fluid is not applicable to the analysis of stagnation point flow for Weissenberg numbers greater than approximately 0.32.

Zusammenfassung

Die Grenzschichtgleichungen werden für den Fall einer zweidimensionalen Strömung einer viskoelastischen Flüssigkeit 2. Ordnung in Staupunktsnähe gelöst. Es wird nachgewiesen, daß die Viskoelastizität nicht nur eine Erhöhung der Wandschubspannung bewirkt, sondern auch Schwingungen in der Geschwindigkeitsverteilung verursacht. Ferner wird bewiesen, daß die Grundgleichung für die viskoelastische Flüssigkeit zweiter Ordnung auf die Analyse der Strömung um einen Staupunkt dann nicht anwendbar ist, wenn die Weissenberg-Zahl den ungefähren Wert 0.32 überschreitet.

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Authors and Affiliations

  1. Dept. of Mechanical Engineering Naval Postgraduate School, 93940, Monterey, CA, USA

    T. Sarpkaya &  P. G. Rainey

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  1. T. Sarpkaya
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  2. P. G. Rainey
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Sarpkaya, T., Rainey, P.G. Stagnation point flow of a second-order viscoelastic fluid. Acta Mechanica 11, 237–246 (1971). https://doi.org/10.1007/BF01176558

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