This article mainly emphases on the study of magneto Cu-Al₂O₃/water hybrid nanofluid flow in a non-Darcy porous square cavity. The square geometry is a lid-driven enclosure with an inside heated square obstacle. Cattaneo-Christov heat flux pattern is used for the formulation of the heat equation. This type of problems may be applicable in the high temperatures in the different scientific processes, extrusion of polymers, aerodynamics extrusion and cooling hot glass. Dimensionless forms of governing flow expressions are computed numerically with Finite Volume Method via SIMPLER algorithm simultaneously. The characteristics of numerous dimensionless parameters such as; Richardson number $\left(0.1⩽Ri⩽100\right)$, Hartmann number $\left(0⩽Ha⩽100\right)$, height of hot square obstacle $\left(0.1⩽H⩽0.5\right)$, width of hot square obstacle $\left(0.1⩽W⩽0.5\right)$, Reynolds number $\left(0.1⩽Re⩽25\right)$ and Darcy number $\left({10}^{-2}⩽Da⩽{10}^{-6}\right)$ are analyzed. The achieved results are projected graphically via streamlines, isotherms, local and average Nusselt numbers. The fluid flow and rate of heat transfer in the direction of the moving heated obstacle isfound to play an important role. The higher values of Ha decreases the local Nusselt number. Hybrid nanofluid provides a higher heat transfer rate than the nanofluids. Increasing the width of the obstacle cause to decline in the thickness of the right wall, this enhances the heat transfer in the clockwise direction.

本文主要着重研究非达西多孔方腔中的磁性Cu-Al ₂ O ₃ /水杂化纳米流体流动。方形几何形状是盖子驱动的外壳，内部有方形加热障碍物。Cattaneo-Christov热通量模式用于热方程式的公式化。这类问题可能适用于不同科学过程中的高温，聚合物挤出，空气动力学挤出和冷却热玻璃。有限体积法通过SIMPLER算法同时数值地计算了控制流表达式的无量纲形式。众多无量纲参数的特征，例如；理查森数$\left(0.1⩽\mathrm{[R}\mathrm{一世}⩽100\right)$，哈特曼数 $\left(0⩽H\mathrm{一种}⩽100\right)$，热方形障碍物的高度 $\left(0.1⩽H⩽0.5\right)$，热方形障碍物的宽度 $\left(0.1⩽\mathrm{w\; ^}⩽0.5\right)$雷诺数 $\left(0.1⩽\mathrm{[R}Ë⩽25\right)$ 和达西数 $\left({10}^{--2}⩽d\mathrm{一种}⩽{10}^{--6}\right)$被分析。通过流线图，等温线，局部和平均Nusselt数以图形方式预测所获得的结果。发现在移动的加热障碍物的方向上的流体流量和热传递速率起着重要的作用。Ha的较高值会降低本地Nusselt数。杂化纳米流体比纳米流体提供更高的传热速率。障碍物宽度的增加导致右壁厚度的减小，这增强了沿顺时针方向的热传递。