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Non-newtonian rimming flow: stability analysis

TLDR
In this paper, the rimming flow of a thin polymeric film inside a rotating horizontal cylinder is studied theoretically and the non-Newtonian fluid viscosity is described by the Generalized Newtonian Fluid (GNF) constitutive model.
Abstract
The rimming flow of a thin polymeric film inside a rotating horizontal cylinder is studied theoretically. The nonNewtonian fluid viscosity is described by the Generalized Newtonian Fluid (GNF) constitutive model. With linear stability analysis, it is found that, analogously to Newtonian fluids, rimming flow of viscous non-Newtonian fluids is neutrally stable.

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Citations
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Stability analysis of non-Newtonian rimming flow

TL;DR: In this paper, the authors examined two models of non-Newtonian fluids to see if the experimentally observed instability can be predicted analytically, and they found that the viscoelastic properties of the fluid (modeled by SOVF) contribute to the flow destabilization.
References
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Book

Dynamics of Polymeric Liquids

R. Byron Bird
Journal ArticleDOI

Experimental study of coating flows in a partially-filled horizontally rotating cylinder

TL;DR: In this paper, the authors describe a number of different phenomena seen in the free-surface flow inside a partially filled circular cylinder which is rotated about its horizontal axis of symmetry, and present a phase diagram of the various transitions and characterize some of the more prominent instabilities and patterns in detail.
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Fingering phenomena for driven coating films

TL;DR: In this article, a theoretical and numerical model is formulated to describe the instability and the long-time evolution of both gravity-driven and surface-shear-stress-driven thin coating films.