In this investigation, numerical modeling for the behavior of nanomaterial inside a porous zone with imposing Lorentz force has been illustrated. The working fluid is a mixture of H₂O and CuO and due to concentration of 0.04, it is reasonable to use the homogeneous model. Two-temperature model for porous zone was employed in which new scalar for calculating temperature of solid region was defined. CVFEM has been applied to model this complex physics. Radiation terms were considered and their influence on Nu has also been considered. Verification with benchmark proves greater accuracy. Dispersing nanopowders helps the fluid to increase velocity and reduce the temperature of inner wall. Rise of Ra results in three strong eddies inside the zone which creates two thermal plumes and it reduces the temperature of square surface about 68%. With rise of Nhs, the power of counter-clockwise vortex reduces about 61.6% and inner wall becomes warmer about 33.3%. Raising the Ha makes thermal plume to vanish and cooling rate decreases about 46.6%. Augment of Nhs makes Nu to reduce about 5.08% while augment of Ra makes it to augment about 35.64%. Also, augmenting Ha makes Nu to decline about 56.45%.

中文翻译：

---

非平衡多孔介质中纳米流体传输的研究

在这项研究中，已经说明了具有强加洛伦兹力的多孔区域内纳米材料行为的数值模型。工作流体是H _{2的混合物}O 和 CuO 由于浓度为 0.04，使用均质模型是合理的。采用多孔区双温度模型，定义了计算固体区温度的新标量。CVFEM 已被应用于对这种复杂的物理场进行建模。考虑了辐射项，还考虑了它们对 Nu 的影响。使用基准进行验证证明了更高的准确性。分散纳米粉末有助于流体增加速度并降低内壁温度。Ra 的上升导致区域内产生三个强涡流，产生两个热羽流，并使方形表面的温度降低约 68%。随着 Nhs 的升高，逆时针涡流的功率降低约 61.6%，内壁变暖约 33.3%。提高 Ha 使热羽流消失，冷却速率降低约 46.6%。Nhs 的增加使 Nu 减少约 5.08%，而 Ra 的增加使其增加约 35.64%。此外，增加 Ha 使 Nu 下降约 56.45%。