Investigating magneto-thermosolutal convection of a radiative hybrid nanofluid within a trapezoidal porous enclosure: effect of various thermal profiles

Purpose The exploration of thermogravitational convection within trapezoidal chambers has accumulated significant interest owing to its wide-ranging applications in both engineering and natural systems. This study aims to optimize thermosolutal transmission rates by using advanced radiative hybrid nanofluids. Design/methodology/approach This work delves into the effects of constant, linear, quadratic and sinusoidal (with varying amplitudes and periods) thermal and species profiles on the complex dynamics of thermosolutal convection within a trapezoidal porous chamber. The cavity is filled with a Cu-Al 2 O 3 hybrid nanofluid, where the lower boundary is high in temperature and concentration, while the left and right boundaries remain low in temperature and concentration. The top wall is insulated both thermally and solutally. The governing Navier Stokes, thermal and species equations are solved using a higher order compact procedure. This investigation systematically examines the influence of control parameters, including the Hartmann number, Lewis number, inclination angle, buoyancy ratio, Darcy number, Rayleigh number, radiation parameter and the concentration of solid particles of the hybrid nanoliquid. Findings The findings reveal that the constant heating profile yields the most effective thermal dissipation, while the sinusoidal temperature distribution demonstrates the least efficiency. These outcomes, depicted through comprehensive graphical and tabular representations, provide novel insights into enhancing thermal and solutal transport processes within such configurations. Originality/value This study provides significant insight into those thermal systems that are used in the manufacturing industry like automobiles, refrigerators, insulators and food processing industry.