The present article comprises the study on the influence of exponential space based heat generation on the non-Darcy-Forchheimer flow of carbon nanotubes (CNTs).The flow is considered over a curved stretching sheet.Similarity variables are used to reduce the flow descriptive nonlinear partial derivative equations to simple equations.Simplified equations are then solved by the exploiting Runge-Kutta-Fehlberg fourth-and fifth-order methods.Obtained numerical solutions are shown in graphs and tables.Comparison between single and multi-walled CNTs has been established through the tabulated values and plotted graphs.It is concluded that the heat source parameter plays a prime role in enhancement of temperature,and the curvature parameter has adverse impact on velocity and temperature panels.Both the inertial parameter and inverse-Darcy number affect the fluid velocity.