This work investigates magnetohydrodynamic flow dynamics in conductive ducts, indicating implications for engineering design.
This work investigates the combined effects of transverse magnetic fields, wall conductivity, inlet flow velocity and wall thickness on magnetohydrodynamic (MHD) flow, heat transfer and mass transport within a vertical duct, as well as the mechanical performance of the conductive duct wall. A multi-region simulation platform based on the finite volume and the finite element methods is developed to model magneto-thermo-mass-fluid–structure coupling. The results indicate that, when the wall conductivity is low, the coupling effect between the magnetic field and the wall conductivity exhibits a magnetic-field-dominated mode. The magnetic field suppresses jets and reverse flow, with the maximum velocity scaling as Urmγc+1∼Ha−1/2 and the vortex center height scaling as Hv∼Ha1/3. Mass permeability and inventory decrease exponentially with increasing magnetic field strength. Thermal stress peaks at the Hartmann wall outlets, with a transition from disordered to regular temporal fluctuations as the magnetic field strength increases. The variation laws differ at high wall conductivities. A higher inlet velocity compresses the reverse vortices toward the outlet. The maximum reverse velocity decays as Urm∼lg(Re−1). It enhances convective heat and mass transfer, resulting in lower mass permeation and retention, as well as a monotonic reduction in solid wall stress. Thicker walls can weaken the right jet and reverse flow, raising the system temperature and local concentration, which enhances fluid-to-solid mass permeability and solid inventory and increases outlet stress. The maximum stress satisfies σMises,max/σy ∼ th/a. This work improves the understanding of MHD duct flow and provides a foundation and support for engineering design and structural analysis.
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Zhai et al. (2026) studied this question.
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