Energy transmission in an efficient mode has become a crucial challenge in both industrial and biomedical systems because of the worldwide energy crisis. An initiative has been taken by the present research for designing energy-efficient industrial and biomedical systems using different fluids. This numerical study focuses on investigating magneto-hydrodynamic conjugate natural convection and entropy generation of a hybrid nanofluid (Ag-MgO-water) in a differentially heated square domain including heat-generating sinusoidal solid partition. The partition is mid-positioned with a finite thickness and divides the computational regime into two flow domains. The FEM has been applied for solving the governing PDEs. The effects of magnetic field intensity and orientation, cavity inclination, heat generation from the partition and volume fraction of hybrid nanoparticles on temperature distribution, flow field and local entropy generation have been investigated and displayed by isotherms, streamlines and isentropic lines, respectively. The contours have been plotted at the highest Rayleigh number for better visualization of thermo-fluid interaction. Considering a wide variation of free convection, thermal performance is determined through the computation of the average Nusselt number along the hot wall and system energy loss has been evaluated through the calculation of average total entropy generation as well as average Bejan number in both fluid zones. The obtained numerical results show that thermal performance and entropy generation are significantly influenced by the magnetic field intensity and cavity inclination. Thermo-fluid energy transfer is reduced by 11.62% for the highest magnetic field strength whereas the increase of cavity tilting is responsible for a 56.72% decrease in thermal performance. A new regression equation has been derived from the obtained results. The numerical study carried out in this research has superior results compared to the existing methodology and/or experimental/ numerical research.

以高效模式的能量传输已经成为由于全球能源危机的工业和生物医学系统的一个关键挑战。本研究采取了一项举措，旨在使用不同的流体设计节能的工业和生物医学系统。该数值研究着重于在差分加热的正方形域包括发热正弦固体分区调查的混合纳米流体（AG-MgO的水）的磁流体动力共轭自然对流和熵产生。分区是中间定位成具有有限厚度，并且将计算体制成为两个流动域。有限元已应用于解决理事偏微分方程。磁场强度和取向，倾角腔的影响，从上温度分布的混合纳米粒子的分区和体积分数的发热，流场和局部熵代已经由等温线，流线和等熵线调查显示，分别。轮廓已经在最高瑞利数已经绘制了热流体相互作用的更好的可视化。考虑自由对流的广泛的变化，热性能是通过沿着所述热壁和系统的能量损失的平均努塞尔数的运算而决定已经通过平均总熵生成以及平均比赞数在两种流体区域的计算进行评估。将所得到的计算结果表明，热性能和熵生成被显著由磁场强度和倾角腔影响。热流体能量转移是由11.62％减少为最高的磁场强度，而空腔的倾斜的增加是负责在热性能56.72％的下降。从获得的结果导出了一个新的回归方程。与现有方法和/或实验/数值研究相比，本研究中进行的数值研究具有更好的结果。