Sensitivity analysis on enhanced thermal transport in Eyring–Powell nanofluid flow: investigating over a radiating convective Riga plate with non-uniform heat source/sink under flux conditions

The structural presentation of the current article based on the comprehensive sensitivity analysis on the enhanced thermal transport in Eyring–Powell nanofluid flow towards a radiating permeable convective Riga plate embedding in a permeable medium. Further, inclusion of non-uniform heat source/sink under the action of flux conditions enriches the study. A statistical approach, coupled with response surface methodology, is employed to investigate the intricate relationship between various parameters and their influence on the rate of heat transfer. The study focuses on the effects of nanoparticle concentration, temperature difference, convective heat transfer coefficient, and radiative heat production/absorption distribution on the thermal characteristics of the nanofluid flow. Computational simulations are performed to obtain numerical solutions employing Runge–Kutta–Fehlberg technique for the transformed governing equations, and sensitivity analysis is conducted to quantify the impact of input parameters on the desired output variables. The results demonstrate the significant role played by each parameter in determining the overall thermal behavior of the system. The sensitivity analysis provides valuable insights into the optimization and control of heat transfer rate in Eyring–Powell nanofluid flows, enabling the design of more efficient heat transfer systems.