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The Quarterly Journal of Mechanics and Applied Mathematics 1981 34(3):345-359; doi:10.1093/qjmam/34.3.345
© 1981 by Oxford University Press
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THE HEAT TRANSFER BETWEEN CONCENTRIC VIBRATING CIRCULAR CYLINDERS

E. W. HADDON and N. RILEY

( School of Computing Studies and Accountancy, and School of Mathematics and Physics, University of East Anglia Norwich, England )

In this paper we investigate the heat transfer across the annulus between two circular cylinders, which are maintained at different temperatures, when the inner cylinder performs small-amplitude harmonic oscillations perpendicular to its generators and the outer one is at rest. Numerical solutions of the governing equations are obtained for the time-mean velocity and thermal fields within the annulus for a range of values of the three parameters which characterize them, namely the ratio of the cylinder diameters, a streaming Reynolds number, and the Prandtl number. In all cases the effect of the fluid motion is to bring about an increase, in some cases a marked increase, in the amount of heat transferred from inner to outer cylinder over and above that which is possible by conduction alone.


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