Electroosmosis‐modulated Darcy–Forchheimer flow of Casson nanofluid over stretching sheets in the presence of Newtonian heating

A review of the literature revealed that nanofluids are more effective in transferring heat than conventional fluids. Since there are significant gaps in the illumination of existing methods for enhancing heat transmission in nanomaterials, a thorough investigation of the previously outlined models is essential. This study’s main objective is to examine the Casson nanofluid’s Darcy-Forchheimer flow across a stretching sheet. Investigations are being conducted on the viscous and Joule dissipations that the electroosmosis forces (EOF) have on the casson nanofluid boundary layer. The method transforms partial differential equations originating in nanofluidic systems into nonlinear differential equation systems with the proper degree of similarity. With a precision of order 4 to 5, the nonlinear nanofluid problem is solved using the (FDM) finite difference approach (Lobatto IIIA), which is accomplished using a number of collocation locations. The ability of Lobatto IIIA to handle coupled differential equations that are very nonlinear is one of its strengths. The boundary value dilemma (bvp4c) solver, which is a component of the MATLAB software programme, is used to reduce the higher order differential equations into a first order technique and computationally analyze the simplified mathematical model. When compared to previously published studies, the data acquired showed a high degree of accuracy and symmetry. The study’s primary results included that when the Casson fluid expands, the velocity field decreases, but the electric parameter, Forchheimer number, local Reynolds number, and permeability parameter show the opposite trend. Furthermore, High temperature is connected with the non-Newtonian heating parameter and the electric parameter. This work provides insights into practical applications such nanofluidic, energy conservation, friction reduction, and power generation. However, the work makes a significant point that the flow of a Casson fluid including nanoparticles can be regulated by appropriately modifying the Casson parameter, thermophoresis parameter, and Brownian motion parameter.