Abstract
A formulation of the skin-friction drag related to the Reynolds shear stress in a turbulent channel flow is derived. A direct numerical simulation (DNS) of the turbulent control is performed by imposing the spatially oscillating spanwise Lorentz force. Under the action of the Lorentz force with several proper control parameters, only the periodically well-organized streamwise vortices are finally observed in the near-wall region. The Reynolds shear stress decreases dramatically, especially in the near-wall area, resulting in a drag reduction.
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Supported by the National Natural Science Foundation of China (Nos. 11172140 and 11372356) and the Open Project of State Key Laboratory of Explosion Science and Technology in Beijing Institute of Technology (No.KFJJ13-3M)
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Wu, W., Hong, Y. & Fan, B. Numerical investigation of turbulent channel flow controlled by spatially oscillating spanwise Lorentz force. Appl. Math. Mech.-Engl. Ed. 36, 1113–1120 (2015). https://doi.org/10.1007/s10483-015-1972-6
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DOI: https://doi.org/10.1007/s10483-015-1972-6