In　this　investigation,　we　emphasize　the　consequences　of　heat　transmission　within　an　irregular　enclosure　containing　ferrofluid　and　an　angled　magnetic　field　employing　the　finite　element　method.　The　equations　governing　this　formulation＇s　fluid　flow　are　transformed　into　dimensionless　forms　incorporating　suitable　transformation　scales.　A　non-linear　system　of　equations　is　solved　using　Newton＇s　technique.　The　velocity　profile　is　computed　in　quadratic　℘2　Polynomial　space,　whereas　the　temperature　and　pressure　are　computed　linear　℘1　Polynomial　space　of　function.　Parameters　like　Rayleigh　number　within　the　range　of　103≤Ra≤105,　nanoparticle　volume　friction　0≤φ≤0.04,　Hartmann　number　ranging　in　the　interval　0≤Ha≤100　and　the　magnetic　field＇s　angle　of　inclination　is　taken　in　the　interval　0°≤γ≤45°　have　all　been　taken　into　consideration　during　the　investigation.　The　outcomes　are　stored　in　isotherms,　streamlines,　and　heat-lines　structures.　The　effects　of　magnetization　on　reversibility,　heat　transfer,　and　flow　are　also　explored.　According　to　the　findings　of　a　study,　a　rise　in　the　Hartmann　number　has　an　attenuating　influence　on　the　Nusselt　number.　Still,　a　rise　in　the　magnetic　field　inclination　angle　has　the　opposite　effect.　Additionally,　the　Bejan　number　indicated　a　tendency　towards　growing　with　the　Hartmann　number,　and　entropy　production　decreased　for　increasing　values　of　nanoparticle　volume　friction　and　Hartmann　number.　Both　of　these　trends　were　seen　for　increasing　values.　©　2024　Elsevier　B.V.