The growing industrial and domestic demand for a stable energy supply in enhancing productivity is increasing day by days. This need can be richly met through solar energy conservation with an appropriate solar collector coating and optical thermal optimization. As such, in this study, solar energy radiation and heat convection of copper (Cu) and aluminum oxide (Al2O3) nanoparticles suspended in propylene glycol (C3H8O2) for an electromagnetic induced solar collector, and elastic exponential temperature surface are considered. The magnetized flow characteristics is analyzed in a permeable medium with viscous heating. An invariant transformation of the mathematical model is obtained via suitable similarity quantities, and solved by a Chebyshev collocation technique. The computed results are presented in graphs and tables, and qualitatively discussed. The findings revealed that heat propagation rate is improved with higher concentration of nanoparticles fractional volume of about 6.7%. Also, nanofluid temperature has positive effect on the suction. Hence, this study will support thermal science and engineering in correct prediction of their activities.