Magnetohydrodynamic Natural Convection Phenomena

Magnetohydrodynamic (MHD) natural convection arises from the coupling of thermal buoyancy and electromagnetic forces within electrically conducting fluids. Under a temperature gradient, density variations drive buoyancy-induced flow, while an imposed magnetic field interacts with induced currents to produce Lorentz forces that can either damp or redirect the flow. The mathematical framework combines the Navier–Stokes equations (under the Boussinesq approximation) with Maxwell’s equations, yielding key dimensionless parameters—most notably the Rayleigh number, which quantifies buoyancy versus diffusive effects, and the Hartmann number, which gauges magnetic damping. Experimental and computational investigations have explored a wide range of geometries, including enclosures with smooth or corrugated walls, annular chambers and porous media, and have examined the influence of magnetic field strength, orientation and internal heat sources. Recent efforts have also introduced hybrid nanofluids and rotating or time-varying magnetic fields to tailor heat-transfer performance and control convective patterns. Applications span advanced cooling technologies for electronics and nuclear systems, optimisation of metallurgical processes, and the modelling of geophysical and astrophysical flows in planetary cores and stellar interiors. These studies reveal rich nonlinear regimes and open pathways for precise thermal management and energy-efficient design in both industrial and natural contexts.

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Magnetohydrodynamic Natural Convection Phenomena publication trend

The graph below shows the total number of articles in magnetohydrodynamic natural convection phenomena across all publications each year (not limited to Nature Index journals).

Technical terms

Magnetohydrodynamics (MHD): Study of the interaction between electrically conducting fluids and magnetic fields.

Rayleigh number: Ratio of buoyancy to viscous and thermal diffusion forces, indicating the strength of natural convection.

Hartmann number: Measure of magnetic damping, defined by the ratio of electromagnetic to viscous forces in a conducting fluid.

Lorentz force: Electromagnetic force acting on moving charges within a magnetic field, which alters fluid motion.

Nusselt number: Dimensionless heat-transfer coefficient quantifying convective compared with conductive heat transport.

References

1. Evaluation of heat transfer transition for nanofluids within an enclosure based on magnetic field angles. Case Studies in Thermal Engineering (2023).
2. Numerical analysis of Magnetohydrodynamic convection heat flow in an enclosure. Results in Physics (2023).
3. Numerical Investigation of a Rotating Magnetic Field Influence on Free Convective CNT/Water Nanofluid Flow within a Corrugated Enclosure. Mathematics (2022).