The chief drive of the contemporary article is to inspect the thermophysical physiognomies of radiative Casson/Carreau liquid flow along a nonlinearly extending sheet witha non-uniform thermal rise/falleffects.The prime novelty of this study is to determine the enhanced thermal transmission features of Casson/Carreau fluid. Simultaneous solutions are exhibited for Casson fluid and Carreau fluid cases graphically. The arisingperiphery layer expressions are converted into nonlinear ODE’s using relevant dimensionless transfigurations. Further, the attained expressions areunravelled by employingthe bvp5c MATLAB script. Moreover, the impact of various physical factors over the flow fields is conferred and displayed through graphs. Along with this, the numerical results of frictional drag, thermal transport is inspected as well as tabulated for the two liquids Casson and Carreau separately. The significant outcome of the study is that the thermal transport rateismore prominent in the Carreau liquid case than the Casson fluid case. Furthermore, improvement in the radiative flux boosts the thermal boundary layer rigidity.

Non-Newtonian, Casson/Carreau liquid, MHD, Thermal radiation.