Abstract
We consider a quasi steady laminar axisymmetric flow of Bingham type under the assumption that the yield stress increases at a rate proportional to the internal power dissipation. Such a behaviour has been observed in coal-water slurries. Many different cases can occur (including the appearance of a rigid shell at the boundary of the pipeline), which are analyzed both theoretically and numerically.
Zusammenfassung
Wir betrachten die quasistationäre, laminare, achsensymmetrische Strömung vom Bingham-Typus unter der Annahme, daß die Fließspannung mit einer zur inneren Dissipationsleistung proportionalen Rate zunimmt. Ein derartiges Verhalten ist in Kohle-Wasser-Gemischen beobachtet worden. Viele unterschiedliche Fälle können auftreten (einschließlich des Auftretens einer starren Schale am Rand der Rohrleitung); sie werden sowohl theoretisch als auch numerisch analysiert.
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Dedicated to the memory of Hansjörg Wacker
Work partially supported by the Italian MURST Project “Equazioni di evoluzione ...”
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Fasano, A., Primicerio, M. & Rosso, F. On quasi-steady axisymmetric flows of Bingham type with stress-induced degradation. Computing 49, 213–237 (1992). https://doi.org/10.1007/BF02238930
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DOI: https://doi.org/10.1007/BF02238930