The purpose of this paper is to investigate the steady two-dimensional flow of the incompressible Sutterby nanoliquid over a coiled stretched surface. Heat transfer is portrayed by the mechanisms of linear thermal radiation and viscous dissipation, whereas mass transfer is characterized by Brownian motion and thermophoresis. The curvilinear coordinates system is used to design the mathematical modeling. Using similarity transformation, the achieved equation set is reshaped into a system of nonlinear ordinary differential equations. The governed system is solved by shooting via the Runge Kutta Fehlberg (RKF) approach. The research seeks to evaluate physical quantities, such as flow velocity, temperature, and concentration distribution, surface resistance, heat, and mass fluxes for various pertinent parameters. The investigation states that the higher curvature, Sutterby fluid parameter, and thermal radiations enhance the temperature of a nanoliquid.