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Under this study, the boundary layer flow of the Eyring-Powell nanofluid past a stretched sheet with convective heating and passive nanoparticle control, the effect of nanoparticles on MHD was investigated. The governing equation is made up of a collection of nonlinear partial differential equations that have been constructed and transformed through similarity transformation into sets of nonlinear ordinary differentials of momentum, energy, and concentration. A nonlinear, high-order ordinary differential equation involving momentum, energy, and concentration that is subject to boundary conditions is then created as a result of the resulting pair. The Galerkin finite element method, a powerful numerical technique, is then used to numerically solve the problem. Grid independence/dependency was used to conduct the numerical solution for the finite element method result, and as a result, there is no variation in the result. Graphs are used to study and describe the effects of various parameters on velocity, temperature, and concentration profiles, while tabular data offers more in-depth information. The results show that as the velocity profile grows, both the magnetic parameter M and the Eyring-Powell fluid parameter K drop. For large amounts of the magnetic parameter M and the thermophoresis parameter Nt, the temperature and concentration profiles both showed an increment pattern, but a decrement pattern for increasing values of the Eyring-Powell fluid parameter K. Once more, the results demonstrate that for values of the magnetic field parameter and the thermophoresis parameter, the local Nusselt and Sherwood numbers are decreasing. In-depth information is presented using graphs and tabular data. The results of this study will offer insightful information about computational Powell-Erying nanofluids with MHD and pave the road for future finite element method implementation in software. |
