Effect of Joule Heating and Thermal Radiation of MHD Boundary Layer Oldroyd‐B Nanofluid Flow with Heat Transfer over a Porous Stretching Sheet by Finite Element Method

In this study, an incompressible two‐dimensional Oldroyd‐B nanofluid steady flow past a stretching sheet considering the outcomes of magneto‐hydrodynamics (MHD) and porous medium with magnetic, electrical, and thermal radiation effects is investigated. Using a similarity transformation, the governing equations in the form of partial differential equations (PDEs) are converted into a nonlinear ordinary differential equations (ODEs) system. The acquired system is numerically solved by the finite element method (FEM). The effects of physical parameters like Deborah numbers “ β 1 ” and “ β 2 ”, Brownian motion “ N b ”, thermophoresis parameter “ N t ”, Prandtl parameter “ Pr ”, Lewis number “ L e ”, thermal conductivity “ k ”, dynamic viscosity “ μ ”, magnetic and electric effects as “ M ” and “ E 1 ”, and thermal radiation effect “Rd” on the flow are studied in detail. For higher N b values, regional Nusselt numbers are increasing in magnitude. The local Sherwood number’s size rises for high N b numbers.