<p>On optimized heat transfer stability in large-scale solar power plants, the utility of renewable energy systems is vital. The ability of polar fluid to rotate and its better thermal performance are very important for keeping high heat transfer rates in solar energy systems. The proposed study analyzes phase transitions of heat transfer stability in two-phase micropolar nanofluid associated with Brownian and thermophoresis for the combined impact of the Cattaneo–Christov heat and solutal flux model. Proposed non-Newtonian fluid over an exponentially extendable sheet packed in porous material with an interaction of magnetization and thermal radiation. Flow is more complex for the inclusion of thermal and solutal buoyancy with heat dissipation, such as viscous, Joule, and Darcy dissipation. Governing dimensionless transformed mathematical models are obtained by the implementation of similarity rules that exhibit the role of diversified factors. Further, a strong statistical procedure, i.e., response surface method (RSM), is proposed for the enhanced heat transference rate analysis for diverse parameters, and optimal results are observed for analysis of variance (ANOVA). Evaluation reveals magnetic field intensity and porosity which significantly influence the flow resistance while thermal and solutal buoyancy enhances convective heat transfer capabilities. Moreover, velocity slip at the boundary is useful in enhancing shear stress and improving stability in high-gradient regions. The predicted R² value of 0.9996 suggests that the quadratic model is significant in evaluating the heat transfer rate.</p>