The　current　study　addresses　the　features　of　entropy　generation　and　thermal　flows　regarding　magnetized　hybrid　nanofluid　in　the　presence　of　a　cylinder　in　a　closed　hexagonal　domain.　The　hexagonal　cavity　comprises　two　heated　horizontal　walls,　and　two　are　insulated　while　the　other　walls　are　cold.　The　whole　system　has　been　modeled　as　coupled　non-linear　partial　differential　equations.　Also,　normalized　the　governing　coupled　equation　by　utilizing　a　proper　pair　of　variables　and　are　computed　with　a　finite　element　approach.　For　the　approximation　of　velocity　profiles,　a　finite　element　space　involving　the　quadratic　polynomial　(P-2)　is　selected　whereas　the　pressure　and　temperature　estimation　is　accomplished　through　a　space　of　linear　polynomial　(P-1).　An　analogy　is　handed　with　published　findings　at　confining　instance.　The　degree　of　freedom　and　grid　convergence　test　is　considered　for　the　kinetic　energy　(KE)　and　Bejan　number　(Be).　The　study　reveals　a　major　role　in　enhancing　the　heat　transfer　rate　due　to　hybrid　nano-particles.　The　results　show　that　the　increase　of　magnetic　field　effect　considers　the　reduction　of　the　heat　transfer　because　the　conduction　motion　occupies　the　motion　of　the　fluid　flow.　When　the　Hartmann　number　is　increased,　the　magnetic　entropy　is　raised,　too.　For　intensified　the　Hartmann　numbers,　the　highest　ratio　of　heat　transfer　occurs　for　the　case　of　the　hybrid　nanoparticles,　and　then　MgO-water,　followed　by　the　Ag-water.　The　nature　of　thermal　flow　parameters　has　been　scrutinized.