<p>Thermal extraction in the cooling system of polymer production and wire drawing industry is the challenging task for engineers nowadays. Hybrid nanofluid greatly overcomes this problem with their enhanced thermal energy transportation characteristics. Thus, keep in view the extrusion processing, this study proposed to analyze the impact of lateral stretching of flat heated surface on the flow of water-based hybrid nanofluid having uniform velocity through similarity analysis. Darcy resistance and Lorentz force are also incorporated in the flow system to analyze the energy transportation mechanism and irreversibility process. Moreover, the variation in thermal energy distribution is discussed including Joule heating effect in fluid flow. The results from governing set of nonlinear equations via considered physical effects are computed by using bvp5c MATLAB function. Additionally, physical reasoning is also for each outcome of flow field and thermal energy distribution in view of graphs. It is observed that flow field varies between the surface stretching and free stream velocity in case higher or lower values of porosity parameter. Additionally, fluid drag and heat transport rate at surface are also calculated in the form of numerical data.</p>