Heat Transfer Between Concentric Rotating Cylinders

Abstract

In this paper the problem of convective heat transfer between concentric rotating cylinders is studied. Experimental heat-transfer data are presented for four different values of clearance between the cylinders and for several combinations of outer to inner cylinder speed. The heat-transfer performance indicates three regimes of flow; the first at low peripheral velocities, in which laminar flow and heat transfer by conduction prevail, the second at cylinder speeds above a theoretically predictable value, in which vortex flow occurs and is the controlling mechanism, and a third at still higher speeds, in which a distorted type of vortex motion may be present. The data for the case of the inner cylinder only rotating can be correlated by the equation NNu/NNucond=0.175NTa12 for the Taylor number range 90 to 2000. A heat-and-momentum-transfer-analogy solution for this case follows the trend of the data, but gives results which are somewhat high. The combined effects of rotation of both cylinders may be correlated by the empirical equation NNuNNucond=1.1NTa-NTacrη-NTacr01-3.5d/R141.1+NTacrη-NTacr03.5d/R112 for values of the abscissa from about 2 to 50.

Convective heat transfer inside a rotating cylinder with an axial air flow

“…The most usual rotor geometry is a full cylindrical rotor placed inside a fixed stator. For such configurations flows onto the external face of the rotor are widely studied with for instance the flows of Taylor-Couette [1][2][3] or CouettePoiseuille [4,5].…”

A review of heat transfer between concentric rotating cylinders with or without axial flow

“…The curves in Fig. 8 show sensitivity identical to the Nusselt number of variations in the Taylor number recorded above Ta ¼ 10 4 by researchers as different as Becker and Kaye [36] and Bjorklund and Kays [39], Aoki et al [31] and Tachibana et al [35]; the exponents n presented by these authors are all situated within the same range; while the multiplying factor may vary, it nevertheless remains close to 0.2. It should also be noted that the geometric studies are far from identical.…”

“…Moreover, Refs. [31,39,40] have large Taylor ranges and their measurements are less numerous. So, it is possible that the authors have failed notice the first region (before the transition) which is relatively small.…”

Effect of Radial Temperature Gradient on Stability of Hydromagnetic Couette Flow in Narrow-Gap Annulus with Constant Heat Flux at Outer Cylinder

“…Thus, due to the change in the temperature of two cylinders, there exist a temperature gradient and the stability of the fluid flow is also affected by the temperature gradient. The effects of a radial temperature gradient on the stability of the flow of a viscous fluid was theoretically as well as experimentally studied by Chandrasekhar [3,4], Bjorklund and kays [6], Hass and Nissan [7], Becker and Kays [8], Duty and Reid [9], Walowit et al [10], Soundalgekar et al [11], Takhar et al [12], and many others. The stability of flow formation between two concentric rotating cylinders, when there is a constant heat flux at the inner cylinder while the outer one is maintained at a constant temperature was studied by Takhar et al [13,14] for the narrow gap case.…”