Numerical computation of fluid convection with air enclosed between the annuli of eccentric heated.h
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with rotational cylinders were few. Some work was performed by Gardiner and Sabersky  on
concentric cylinders with three different Prandtl number fluids of 2.5, 4.5 and 6.5. The speeds of
rotation of the inner cylinder were in a range where the Taylor number (an equivalent rotational
Reynolds number) was up to 106.
For the present mixed convective problem with highly eccentric cylindrical configurations, no
work is available in the literature, Such configurations are important in the understanding of the
heat transfer characteristic of a long horizontal rotating shaft in a protective casing of an electric
motor mounted some distance away from the pumps or turbines. Strong convections are
encountered in both the radial and tangential directions in these situations. The interaction of the
thermally influenced fluid with the effect of the high rotational rate (Re >_-2000) of the eccentric
inner cylinder are expected to produce complex three-dimensional flows with Taylor vortices. The
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