This　paper　presents　a　complete　investigation　into　the　phenomenon　of　dual　convection　flow　within　a　bulging　enclosure　along　with　non-Newtonian　power-law　fluids　and　employs　the　Galerkin　finite　element　method　for　simulation.　The　main　objective　is　to　study　the　heat　and　mass　transfer　and　entropy　generation　within　the　enclosure.　Various　factors,　such　as　the　Rayleigh　number,　power　law　coefficient,　Lewis　number,　and　effects　of　magnetic　inclination　are　evaluated　for　their　influence　on　flow　dynamics　and　heat　distribution.　The　study　also　investigates　the　relationship　between　these　parameters　and　entropy　generation,　providing　insights　into　the　irreversible　processes　within　the　system.　A　comparative　analysis　of　averaged　Nusselt　and　Sherwood　coefficients　reveals　distinct　thermal　and　fluidic　behaviours　across　varying　power-law　indices,　emphasizing　differences　between　shear　thickening,　shear　thinning,　and　Newtonian　fluid　behaviours.　The　findings　provide　valuable　insights　into　non-Newtonian　power-law　fluids　in　complex　flows,　enhancing　our　understanding　of　flow　and　heat　transfer　in　bulging　enclosures.