Comparative analysis of thermal radiation models to assess heat transfer efficacy in active parallel plates using operational matrix of Legendre polynomials

The increasing requirement for highly effective thermal systems in situations where traditional fluids are unable to provide sufficient heat transfer performance is the motivation behind this research. Due to this, the synergistic interaction of many nanoparticles results in tetra-hybrid nanoliquids with better thermal conductivity, making them appealing for enhanced heat transfer applications. Furthermore, many real-world technological structures in which surface movement and instability greatly affect transport features are modelled by flow in active parallel plates. Inspired by these applications, this analysis examines the influence of a magnetic field on heat transfer and unsteady flow of tetra-hybrid nanofluid between two active parallel plates subjected to a porous medium and heat source/sink. Further, the linear, nonlinear, and quadratic thermal radiation models are used to assess their comparative influence on temperature distribution and heat transfer efficacy. This work pertains to applications like temperature regulation in tiny electromechanical structures, the cooling for electrical and nuclear-powered devices, and energy transmission in porous materials where magnetic regulation of nanofluid flow is critical. The governing partial differential equations characterizing momentum and energy flow are derived by integrating the effects of porous resistance and thermal radiation and are reduced to ordinary differential equations via similarity transformations. The Legendre polynomial collocation method (LPCM) is used to solve the resulting equations. Further, the artificial neural network (ANN) is employed to assess the thermal profile with linear, nonlinear, and quadratic thermal radiation cases. The consequence of various factors on the thermal and flow field is depicted graphically.