This study focuses on the comprehensive analysis of thermal characterization of an electrically conducting nanofluid flow containing TiO2 nanoparticles dissolved in two different common liquids (H2O and C2H6O2) and contained within a continuously extending disk. The heat and concentration formulation are modified by incorporating the standard interpretations of the Joule heating, energy source, dissipation, and modified activation energy with binary chemical reactions. The Darcy-Forchheimer addition are used to highlight the significance of porous media. The Brownian dispersion’s effects are clearly discernible in the current investigation. Furthermore, as a novelty, special thermophysical models of viscosity and thermal conductivity are included. The obtained differential formulations are tackled through analytical procedure HAM. The veracity of finding is verified through numerical scheme (ND-solve technique). Using several graphs and charts, the perception trends of model factors are evaluated. The influence of and are estimated based on flow characteristics. The drag force and heat transmission rate are shown to optimize with as well as in the pictorial simulations produced from the existing model. The can also be strengthened by the presence of a high degree . The outcomes are validated by previous studies and a good degree of consistency is revealed.