Creeping motion of a carreau fluid past a newtonian fluid sphere

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Abstract

Previous work on the slow motion of drops in non-Newtonian liquids has been reviewed. The variational principles have been employed to obtain approximate upper and lower bounds on drag force experienced by a fluid sphere moving slowly in Carreau model fluids. The paper is concluded by presenting a comparison with the appropriate experimental data available in the literature.

Abstract

On a fait étude bibliographique sur les travaux portant sur le mouvement lent des gouttes dans des liquides non-newtonic. On a utilisé les principes variationnels pour obtenir de manière approximative les limites inférieures et supérieures e la force de traǐnée d'une sphère fluide se déplaçant lentement dans les fluides qui obéissent au modèle de Carreau. On présente en conclusion une comparaison avec les données expérimentales appropriées publiées.

This investigation began when both of us were at the University College of Swansea (U.K.) where RPC was supported by a research grant (administered by Professor J.F. Richardson and Dr. A.P. Wardle) and SCD received a fellowship from the British Council. These supports are gratefully acknowledged. Furthermore RPC also benefitted from numerous conversations with Professor Richardson. Finally, we are grateful to one of the referees for several useful suggestions.

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