The non-Darcy hybrid nanofluid 2-D flow through a wavy enclosure is simulated via CVFEM (control volume finite element method) and analyzed using entropy optimization by incorporating the impacts of an ambient constant magnetic field and a heat energy source of constant flux. The impacts of varying buoyancy forces, magnetic field and medium permeability on the hybrid nanofluid dynamics are investigated through contour and 3-D plots. It is found that the rising strength of buoyancy and permeability augments the convection thermal energy transport and reduces the nanofluid temperature. The increasing buoyancy forces and medium permeability enhance the entropy generation due to frictional forces (S_gen,f), thermal energy flow (S_gen,th) and S_gen,M (associated with the presence of the ambient magnetic-field). The Bejan number (Be) rises with augmenting Lorentz forces and medium porosity. The average Nusselt number (Nu_ave) increases with augmenting buoyancy forces and medium porosity, while drops with the higher magnetic field strength. Analytical expressions for Nu_ave and Be are obtained. The agreement between present and published results validates the applied simulation technique.

通过CVFEM（控制体积有限元方法）对通过波浪形外壳的非达西混合纳米流体二维流动进行了模拟，并通过结合环境恒定磁场和恒定通量热能的影响，使用熵优化对其进行了分析。通过等高线图和3-D图研究了变化的浮力，磁场和介质渗透率对混合纳米流体动力学的影响。发现浮力和渗透率的上升强度增加了对流热能传递并降低了纳米流体温度。不断增加的浮力和中等渗透率会由于摩擦力（S _gen，f），热能流（S _gen，th）和S _gen，M而增加熵的产生（与周围磁场的存在有关）。Bejan数（Be）随着洛伦兹力的增加和中等孔隙度的增加而增加。平均努塞尔数（Nu _ave）随着浮力和中等孔隙率的增加而增加，而随着磁场强度的增加而下降。得到了Nu _ave和Be的解析表达式。当前结果和发布的结果之间的一致性验证了所应用的仿真技术。