Abstract
The stability of a rotating layer of a viscoelastic fluid (Oldroyd fluid) heated from below is considered, on the assumption that both bounding surfaces are free. Linear stability theory is used to derive an eigenvalue system of eighth order, and an exact eigenvalue equation for a neutral instability is obtained. Critical Rayleigh numbers, wave numbers, and frequencies for the onset of instability are presented graphically as functions of the Taylor number for various values of the Prandtl number and the elastic parameters. It is shown that the effects which arise in consequence of the coupling between the Coriolis force and the viscoelastic behaviour of a fluid are exceedingly complicated.
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