In this study, we carried out a direct numerical simulation of a magnetohydrodynamic (MHD) turbulent channel flow. The production terms of the transport equation for the turbulent electromotive force are evaluated accurately, and also related with the model terms of the turbulent electromotive force model equation. Unlike the cross-helicity effect, the pumping effect had not been examined clearly in the present flow, we systematically examined its contribution and clarified its physical mechanism. Furthermore, we accurately evaluated several transport equations of turbulent residual energy related to the pumping effect, and clarified the mechanism and interrelations of its production, transfer, and dissipation.
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