Optimization of energy transport via electro-thermal hybrid nanofluid in parallel disks: A Keller-Box simulation

Optimizing energy transport and enhancing its efficiency in electro-thermal systems is of significant importance for advanced thermal management and energy sustainability. The present study focuses on the analysis of time-dependent electrically conducting disks enduring convective heat and comprising a permeable medium with Alumina and Graphene oxide immersed in water. The thermal distribution is studied via the modified Fourier law, namely the Cattaneo-Christov heat flux, and the electro-thermal conductivity through Hamilton-Crosser's nanofluid model. Different shapes of nanoparticles are considered, namely octahedron, spherical, cylindrical, and blade. The squeezing hybrid nanofluid flow considers the effects of Ohmic heating, the Hall effect, and linear thermal radiation. The numerical solutions are computed by Keller-Box method in MATLAB, while the regression analysis (predicted values with $t$-statistic) is conducted through NDSolve in Mathematica. It is seen that squeezing enhances compression and develops fluid momentum and convective heat transfer. Moreover, octahedron-shaped nanoparticles show dominant increasing thermal transport behavior. Higher Forchheimer number increases inertial effects, nonlinear drag force, and reduced thermal efficiency. Regression analysis indicates that the squeezing effect predominates over the Hall effect in predicting skin friction values, particularly when considering blade-shaped nanoparticles compared to other shapes. The insights from this study can be used in many engineering and industrial applications where efficient heat transfer is required, such as in cooling systems, electronic devices, and energy storage systems.