Developing Buoyancy-Modified Turbulent Flow in Ducts Rotating in Orthogonal Mode

Author:

Bo T.1,Iacovides H.1,Launder B. E.1

Affiliation:

1. Department of Mechanical Engineering, UMIST, Manchester, M60 1QD, United Kingdom

Abstract

A numerical study of developing flow through a heated duct of square cross section rotating in orthogonal mode is reported. The two main aims are to explore the effects of rotational buoyancy on the flow development and to assess the ability of available turbulence models to predict such flows. Two test cases have been computed corresponding to values of the rotation number, Ro, of 0.12 and 0.24, which are typical of operating conditions in internal cooling passages of gas turbine blades. Computations from three turbulence models are presented: a k–ε eddy viscosity (EVM) model matched to a low-Reynolds-number one-equation EVM in the near-wall region; a low-Re k–ε EVM and a low-Re algebraic stress model (ASM). Additional computations in which the fluid density is assumed to remain constant allow the distinct contributions from buoyancy and Coriolis forces to be separated. It is thus shown that rotational buoyancy can have a substantial influence on the flow development and that, in the case of outward flow, it leads to a considerable increase of the side-averaged heat transfer coefficient. The Coriolis-induced secondary motion leads to an augmentation of the mean heat transfer coefficient on the pressure surface and a reduction on the suction side. The k–ε/one-equation EVM produces a mostly reasonable set of heat transfer predictions, but some deficiencies do emerge at the higher rotation number. In contrast, predictions with the low-Re k–ε EVM return a spectacularly unrealistic behavior while the low-Re ASM thermal predictions are in encouragingly close agreement with available measurements.

Publisher

ASME International

Subject

Mechanical Engineering

Reference23 articles.

1. Abou-Haidar, N. I., Iacovides, H., and Launder, B. E., 1991, “Computational Modelling of Turbulent Flow in S-Bends,” AGARD Conf. Proc. 510, 77th Symposium of Propl and Energertics Panel on CFD Techniques for Propulsion Applications, San Antonio, TX, May.

2. Bo, T., Iacovides, H., and Launder, B. E., 1991, “The Prediction of Convective Heat Transfer in Rotating Square Ducts,” presented at the 8th Symposium of Turbulent Shear Flows, Munich, Germany.

3. Bo, T., 1992, “The Computation of Flow and Heat Transfer in Rotating Ducts and U-Bends,” PhD Thesis, Faculty of Technology, University of Manchester, United Kingdom.

4. Choi Y. D. , IacovidesH., and LaunderB. E., 1989, “Numerical Computation of Turbulent Flow in a Square-Sectioned 180° Bend,” ASME Journal of Fluids Engineering, Vol. 111, pp. 59–68.

5. Cotton, M. A., and Jackson, J. D., 1987, “Calculation of Turbulent Mixed Convection in a Vertical Tube Using a Low-Reynolds-Number k–ε Turbulence Model,” presented at the 6th Symposium on Turbulent Shear Flows, Toulouse, France.

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