Our target in this research article is to elaborate the characteristics of Darcy-Forchheimer relation in carbon–water nanoliquid flow induced by impermeable stretched cylinder. Energy expression is modeled through viscous dissipation and nonlinear thermal radiation. Application of appropriate transformations yields nonlinear ODEs through nonlinear PDEs. Shooting technique is adopted for the computations of nonlinear ODEs. Importance of influential variables for velocity and thermal fields is elaborated graphically. Moreover rate of heat transfer and drag force are calculated and demonstrated through Tables. Our analysis reports that velocity is higher for ratio of rate constant and buoyancy factor when compared with porosity and volume fraction. Keywords: Porous medium, SWCNTs and MWCNTs, Viscous dissipation, Melting heat transfer, Non-linear thermal radiation