Keller box analysis for thermal efficiency of magneto time-dependent nanofluid flowing in solar-powered tractor application applying nano-metal shaped factor

This research looks at the generating of entropy in the magnetohydrodynamic (MHD) flowing of a Williamson-nanofluid (W-NF) across an infinite horizontal plate which is located in the solar-powered tractor. The non-linear, homogeneous surface stretching then induces flow. Furthermore, as external sources, the current study includes penetrable material, thermal radiative flux, heat source/sink, viscous dissipative flow, and Ohmic heating characteristics. Using similarity variables, a solution is achieved by transforming controlling PDEs into ODEs. After that, the Keller-box finite-difference technique is used to approximate the solution of diminished ODEs. The findings of two nanofluid tests, copper-engine oil (Cu-EO) and silver-engine oil (Ag-EO), were addressed in this paper. According to the results, a considerable porous medium decreased the Nusselt number while increasing the skin friction coefficient. Furthermore, increasing the Reynolds and Brinkman numbers enhanced the system's total entropy. This study shows that W-NF can improve heat collector performance. The comparative heat transference rate of Cu/Ag-EO is the study's clincher. Cu-EO-based NF is shown to be a good quality thermal conductance than Ag-EO-based NF. Additionally, compared to a sphere, hexahedron, tetrahedron, column shape nanoparticles, lamina has more effect on the function of temperature and entropy.