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Thermal dynamics of Tiwari-Das magnetohydrodynamics nanofluid flow with Ohmic dissipation and Buoyancy driven heated plate
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DOI：10.1007/s10999-026-09964-8.png)
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Abstract
En 中文
Efficient thermal management is a fundamental requirement in contemporary engineering applications, encompassing electronic cooling systems, semiconductor fabrication, thermal insulation frameworks, and nuclear reactors. The integration of magnetohydrodynamic (MHD) nanofluids within porous media has surfaced as an innovative strategy for augmenting heat transfer efficacy under intricate thermal scenarios. This investigation examines the synergistic impacts of magnetic field intensity, Ohmic heating, internal heat generation, thermal radiation, and variable permeability on the mixed convection flow of Cu–H2O nanofluids over a buoyancy-driven vertically heated plate situated in a porous medium. The governing nonlinear boundary-layer equations are reformulated into a system of ordinary differential equations through similarity transformations and solved numerically utilizing the MATLAB BVP4C solver. The findings indicate that an increase in nanoparticle volume fraction, heat absorption, and magnetic parameter considerably diminishes the velocity field, whereas heat generation amplifies the temperature profile for both uniform permeability (UP) and variable permeability (VP) scenarios. An escalation in the buoyancy parameter (Gr/Re2) promotes fluid flow and decreases the thermal boundary layer thickness, thereby enhancing convective heat transfer. Elevated radiation and permeability parameters improve heat transport attributes, while stronger magnetic fields diminish velocity owing to the influence of the Lorentz force. The Nusselt number exhibits an upward trend with increasing Grashof number across all radiation parameters, signifying enhanced buoyancy-driven heat transfer. Under conditions of variable permeability, the velocity distribution ranks as Ag–water < Cu–water < CuO–water. These results underscore the critical influence of MHD phenomena, Ohmic heating, and the characteristics of porous media in regulating heat transfer efficiency and offer valuable perspectives for the development of sophisticated thermal management and energy systems.
Keywords:
Radiation
Nanofluids
Ohmic effect
Variable fluid properties
Mixed convection
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