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International Journal of Rotating Machinery
Volume 4 (1998), Issue 1, Pages 35-48

Turbulent Flow and Heat Transfer in Circular Couette Flows in Concentric Annulus

1Department of Mechanical Engineering, Kagoshima University, 1-21-40 Korimoto, Kagoshima 890, Japan
2Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor 48109, MI, USA

Revised 5 September 1996

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A numerical study is performed to investigate heat transfer and fluid flow in the hydrodynamically and thermally fully-developed region of an annulus, consisting of a heated rotating inner cylinder and a stationary insulated outer cylinder. Emphasis is placed on the effect of rotation of an inner core on the flow structure and the thermal field. A Reynolds stress turbulence model is employed to determine three normal components of the Reynolds stress and its off-diagonal one. The turbulent heat flux is expressed by Boussinesq approximation in which the eddy diffusivity.for heat is given as functions of the temperature variance t2¯ and the dissipation rate of temperate fluctuations εt. The governing boundarylayer equations are discretized by means of a control volume finite-difference technique and numerically solved using the marching procedure. An inner core rotation causes an amplification of the three normal components of the Reynolds stress over the whole cross section, resulting in a substantial enhancement in the Nusselt number.