Magnetohydrodynamic Heat Transfer in Porous Media

Magnetohydrodynamic heat transfer in porous media concerns the interaction between electrically conducting fluids, imposed magnetic fields and the solid matrix of a porous structure. In such systems, Lorentz forces arising from the magnetic field modify the flow velocity and boundary-layer thickness, while the interstitial solid framework imposes Darcy drag and, at higher flow rates, Forchheimer inertial resistance. The resulting balance of magnetic, viscous, buoyancy and porous-resistance effects governs heat transport, often expressed in terms of dimensionless groups such as the Hartmann, Darcy, Prandtl and Reynolds numbers. Mathematical models typically couple Navier–Stokes and Maxwell equations with volume-averaged conservation laws, and are solved by analytical similarity methods or numerical schemes. Applications span geothermal recovery, packed-bed reactors, cooling of electronic modules and solar energy collectors, where magnetic control offers a route to enhanced thermal management and energy efficiency.

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Magnetohydrodynamic Heat Transfer in Porous Media publication trend

The graph below shows the total number of articles in magnetohydrodynamic heat transfer in porous media across all publications each year (not limited to Nature Index journals).

Technical terms

Magnetohydrodynamics (MHD): the study of fluid flow and heat transfer in electrically conducting fluids under the influence of magnetic fields.

Porous medium: a solid matrix containing interconnected voids through which fluid can flow, introducing Darcy drag and inertial resistance.

Darcy–Forchheimer law: an extension of Darcy’s law that adds a quadratic inertial term to account for high-velocity flow in porous materials.

Nusselt number: the dimensionless ratio of convective to conductive heat transfer across a boundary layer, indicating surface heat-flux enhancement.

References

1. MHD Williamson Nanofluid Fluid Flow and Heat Transfer Past a Non-Linear Stretching Sheet Implanted in a Porous Medium: Effects of Heat Generation and Viscous Dissipation. Processes (2022).
2. Significance of Chemical Reaction and Lorentz Force on Third-Grade Fluid Flow and Heat Transfer with Darcy–Forchheimer Law over an Inclined Exponentially Stretching Sheet Embedded in a Porous Medium. Symmetry (2022).
3. Al2O3-Cu\Ethylene Glycol-Based Magnetohydrodynamic Non-Newtonian Maxwell Hybrid Nanofluid Flow with Suction Effects in a Porous Space: Energy Saving by Solar Radiation. Symmetry (2023).