Abstract
We investigate the applicability of a second–order model for the passive scalar transport in sheared Magnetohydrodynamics (MHD) turbulent flows in the case of small magnetic Reynolds number. We combine the Widlund et al. [Phys. Fluids 10, 1987 (1998)] model for the MHD damping effect by the Lorentz force and Joule dissipation with the Launder et al. [J. Fluid. Mech. 68, 537 (1975)] model for the pressure–scalar gradient correlations. We compare the results obtained with direct numerical simulation databases and found that the model predictions agree with Kassinos's direct numerical simulation results in the sheared MHD/non–MHD cases. We show that magnetic force has a crucial impact on the passive scalar transport in cases where the time scale of the mean shear is comparable or long compared to the Joule time.
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