<p>The model investigating the effects of activation energy and viscous dissipation on methanol-based hybrid nanofluid with a nonlinear heat source has important applications in thermal management systems that need effective energy control and heat transfer. This model can be used in fields where controlling temperature gradients and improving heat dissipation are crucial, such as electronics cooling, energy storage systems, and automobile engineering. The activation energy term enhances the comprehension of thermal behavior in chemical and industrial processes, and the inclusion of viscous dissipation effects enables more accurate modeling of fluid flow in high-temperature conditions. The nonlinear heat source feature is also helpful in the construction of sophisticated reactors, energy-efficient heating systems, and cooling systems for high-performance machinery and equipment. The main emphasize is to expands the fluid dynamics by nonlinear flow to whom it increases a metal's ductility and softness.</p>