Free surface on a simple fluid between rotating eccentric cylinders. Part I: Analytical solution

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The steady motion of a simple fluid between vertical cylinders which rotate about non-concentric axes is solved by means of domain perturbations. The theory is developed as a perturbation of the rest state in powers of the angular frequency ω of the inner cylinder, and the solution is carried out to O (ω2). The stress is expanded in a series of Rivlin-Ericksen tensors. At the second order only one material parameter, the climbing constant, enters the analysis. A procedure is developed for predicting the shape of the free surface on the fluid. Secondary motions generated by the eccentricity are shown to appear at the second order. © 1984.
Original languageEnglish
Pages (from-to)93-108
Number of pages16
JournalJournal of Non-Newtonian Fluid Mechanics
Issue number1
Publication statusPublished - 1984


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