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EVALUATION OF DIFFUSION/TRANSPORT CONSTRAINTS FOR ARSM IN CALCULATION OF FULLY DEVELOPED ROTATING CHANNEL FLOW

Jifeng Qiu
Department of Mechanical Engineering, Keio University, Hiyoshi, Kohoku-ku Yokohama 223-8522, Japan

Shinnosuke Obi
Department of Mechanical Engineering, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan

Thomas B. Gatski
Institut Pprime, CNRS-Université de Poitiers-ENSMA F86036 Poitiers cedex, France; Center for Coastal Physical Oceanography and Ocean, Earth and Atmospheric Sciences Old Dominion University, Norfolk, Virginia 23529 USA

Abstrakt

The weak-equilibrium condition, which is the basis in the development of algebraic Reynolds stress models, is assessed in the case of fully developed turbulent channel flow under the influence of system rotation. The budget of the various terms in the exact transport equation for the anisotropy tensor is evaluated using a DNS database. An asymptotic analysis of the near-wall behavior is performed and an alternative form of the diffusion/transport constraint is proposed. The analysis shows that the proposed alternative diffusion/transport constraint has the potential to improve the predictive ability of the ARSM.