This study investigates the thermal dynamics of a C-shaped, wavy, porous cavity filled with Al₂O₃-Cu/H₂O hybrid nanofluids, influenced by an inclined magnetic field and a heat source/sink. The governing equations are non- dimensionalized and resolved using the finite difference method in a proprietary MATLAB solver. The study investigates the influence of numerous dimensionless parameters such as length of heat position(B = 0.2, 0.4, 0.8), heat source/sink (Q = 4, 0, 1), Porosity ( ∈ =0.1, 0.3, 0.9), Rayleigh number(Ra = 10, 100, 10000), Hartmann number(Ha = 0, 25, 50),length of a cavity (H = 0.5, 10, 100), length of ED/H (L2 = 0.2, 0.4, 0.6) and distance of AD/H (L1 = 0.2, 0.4, 0.6)are analyzed. The findings demonstrate that an elevated Rayleigh number augments convection, whilst increased porosity promotes heat transfer efficiency. The Al₂O₃-Cu/H₂O hybrid nanofluids markedly improve heat transfer owing to their exceptional thermal conductivity. The average Nusselt number validates the efficacy of hybrid nanofluids in enhancing thermal performance. The results indicate that hybrid nanofluids enhance heat transfer, while magnetic fields hinder convection, and the cavity shape in f luences flow patterns. By limiting convective flow, an increased Hartmann number leads to heat transport that is dominated by conduction. Additionally, the length of the heater has a direct influence on the generation of vortices and the enhancement of localized heat and heat transfer.

Purpose– Thispaperaimstoexplore,through a numerical study, buoyant convective phenomena in a porous cavity containing a hybrid nanofluid, taking into account the local thermal nonequilibrium (LTNE) approach. The cavity contains a solid block in the shape of a cross (þ). It will be helpful to develop and optimize the thermal systems with intricate geometries under LTNEconditions for a variety of applications

Thisstudynumericallyinvestigatesinclinedmagneto-hydrodynamicnaturalconvectioninaporouscavityfilledwithnanofluid containinggyrotacticmicroorganisms.Thegoverningequationsarenondimensionalizedandsolvedusingthefinitevolume method. The simulations examine the impact of keyparameters suchas heat source lengthandposition, Peclet number, porosity,andheatgeneration/absorptiononflowpatterns, temperaturedistribution,concentrationprofiles,andmicroorganism rotation.Resultsindicatethatextendingtheheatsourcelengthenhancesconvectivecurrentsandheattransferefficiency,while optimizing the heat sourceposition reduces entropygeneration.Higher Peclet numbers amplify convective currents and microorganismdistribution complexity.Variations inporosityandheat generation/absorption significantly influence flow dynamics. Additionally, the artificial neural networkmodel reliably predicts themeanNusselt andSherwood numbers ( ) Nu Sh & ,demonstratingitseffectiveness for suchanalyses.Thesimulationresults reveal that increasingtheheat source lengthsignificantlyenhancesheat transfer, asevidencedbya15%increaseinthemeanNusseltnumber.