The purpose of this investigation is to examine the effect of MHD on steady 2D transport of C6H9NaO7(SA)MWCNT&C6H9NaO7(SA)SWCNT nanofluids over a quadratic stretching surface with velocity slip conditions. Non-linear thermal radiation, melting phenomenon and CCHF model are also employed. Carbon nanotubes (CNTs) are taken as nanomaterials in this study which are then submerged in the base-fluid. Carbon nanotubes can effectively increase the thermal efficiency and the mechanical characteristics of the working liquid. The CNTs used in the presented research are thus studied with considerable potential for thermal applications. The mathematical expressions of the nano-fluid problem in state of PDEs are overset in the dimensionless ODEs by utilizing suitable variables. The numerical and graphical outcomes of the flow and thermal transport are investigated by utilizing the proficiency of the bvp4c technique (Labotto IIIA formula) in MATLAB. Furthermore, the rheological behavior of pertinent parameters is analyzed against the flow and thermal fields.