This　computational　study　was　designed　to　examine　the　effect　of　alumina　and　copper　on　the　flow　of　a　nanofluid　based　on　engine　oil　through　a　Darcy-Forchheimer　porous　media.　The　flow　model　incorporates　the　generalized　radiative　heat　and　mass　transport　rules.　The　Darcy-Forchheimer　terms　in　the　momentum　equation　and　radiation　term　in　the　energy　equation　are　integral　parts　of　the　governing　nonlinear　Navier-Stokes　equations,　which　are　two-dimensional　partial　differential　equations.　Under　the　constraint　of　the　convective　boundary,　the　stated　PDEs　are　transformed　into　highly　nonlinear　versions　of　the　ordinary　differential　equations.　In　order　to　solve　the　final　ODEs,　the　numerical　RK-45　approach　is　combined　with　the　shooting　methodology.　Important　aspects　of　the　governing　model　include　porosity,　magnetohydrodynamics　(MHD),　a　convective　boundary,　thermal　radiation,　and　viscous　dissipation.　The　final　findings　show　that　when　the　Forchheimer　number　increases,　the　velocity　decreases　because　of　the　inertial　effect　included　in　the　flow　model.　In　addition,　the　velocity　profile　is　improved　due　to　the　increased　volume　percentage　of　both　kinds　of　nanoparticles.　The　temperature　varies　greatly　depending　on　the　volume　fraction.　A　higher　Biot　number　and　the　resulting　convective　border　cause　a　greater　heat　flow　than　a　non-convective　barrier.　For　two　particular　examples,　with　and　without　MHD　influence,　interesting　streamlines　and　contour　graphs　are　produced.　　©　2024　World　Scientific　Publishing　Company.