<p>The present work examines the steady 2-D flow of a Maxwell ternary hybrid nanofluid through a non-Darcian porous regime. This research endeavors to assess the performance of temperature, velocity, and concentration, while accounting for novel effects of the Dufour phenomenon and a nonuniform heat source within the energy equation. Additionally, graphene oxide (Go), silver (Ag), and copper (Cu) are utilized as nanoparticles, and kerosene serves as a base fluid. By introducing appropriate similarity variables, the governing equations can be put into a dimension-free form. These resulting nonlinear dimension-free equations are then cracked numerically using bvp4c method. The properties of various physical factors on temperature, velocity, and concentration boundary layers are analyzed graphically. Additionally, special attention is given to skin friction coefficient, mass, and heat transmission rate in this study. Reflection reveals that the inertia and Maxwell fluid parameter lower the fluid velocity, and heat source parameters enhance the fluid temperature but reduce the heat transfer rate. Fluid concentration falls as Schmidt number rises, while mass transport rate is affected in the opposite way. It has been observed that fluid velocity and temperature are higher for Go-Ag–Cu in kerosene oil compared to Go–Ag in kerosene oil; however, the concentration profile shows the opposite trend. Numerous practical applications in the sectors of industry and energy production have drawn a lot of interest from researchers in this kind of ternary nanofluid model.</p>