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DIRECT NUMERICAL SIMULATION OF ROTATING TURBULENT DUCT FLOW

Gustaf E. Martensson
Department of Mechanics, KTH S-100 44 Stockholm, Sweden

Geert Brethouwer
Linne FLOW Centre, KTH Mechanics Royal Institute of Technology 100 44 Stockholm, Sweden

Arne V. Johansson
Linne FLOW Centre, Dept. of Mechanics, Royal Institute of Technology SE-100 44 Stockholm, Sweden

Résumé

A direct simulation of turbulent flow in a rotating square duct using a second-order finite-volume method was performed. The axis of rotation was normal to the direction of the mean flow in the duct. The simulations are performed at Red = 4400 and for Rod = 0 up to 0.77. The strong effect of rotation on both the mean axial and secondary flows is plainly exhibited. A linear increase in the magnitude of the secondary flow was found with increasing rate of rotation. Turbulence quantities are presented to shed some light on the role of the boundary layer structure on the resistance of the flow. The growth of large-scale secondary roll-cells in the axial direction is studied with reference to their dependence on the rotation number. The case of turbulent flow in a rotating duct that has been tilted 45° around the axis of the mean flow is presented to illustrate the importance of geometric constraints on the characteristics of the flow.