The heat transfer between concentric vibrating circular cylinders
Abstract
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 smallamplitude harmonic oscillations perpendicular to its generators and the outer one is at rest. Numerical solutions of the governing equations are obtained for the timemean 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.
 Publication:

Quarterly Journal of Mechanics and Applied Mathematics
 Pub Date:
 August 1981
 Bibcode:
 1981QJMAM..34..345H
 Keywords:

 Circular Cylinders;
 Computational Fluid Dynamics;
 Concentric Cylinders;
 Heat Transfer;
 Oscillating Cylinders;
 Oscillating Flow;
 Harmonic Oscillation;
 NavierStokes Equation;
 Prandtl Number;
 Reynolds Number;
 Reynolds Stress;
 Temperature Distribution;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer