Abstract Hydrothermal behavior of hybrid nanomaterial migration from a perforated and wavy container is analyzed by taking into account the impacts of Lorentz force and constant heat flux. The non-Darcy model incorporates the effects due to medium porosity. Suitable relations are used to transform the developed set of PDEs to non-dimensional form. The flow is simulated by employing the standard computational technique of CVFEM and then analyzed through entropy optimization. The impacts produced due to enhancing buoyancy, Lorentz forces and porosity over the hydrothermal behavior of the fluid motion are displayed by various plots. It is observed that the augmenting buoyancy and medium porosity enhance the convective flow and drop the temperature. An enhancing Lorentz forces depreciates the convective flow strength and rises the fluid temperature. The entropy generation due to different contributions also shows dependence on the varying strength of the associated parameters. Analytical relations of average Nusselt and Bejan numbers are derived, which show their dependence on the Rayleigh, Hartmann and Darcy numbers. The accommodation of the achieved results and the previous research ascertains the correctness of applied procedure.

中文翻译：

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纳米流体通过多孔介质的熵优化和热行为模拟

摘要 通过考虑洛伦兹力和恒定热通量的影响，分析了混合纳米材料从多孔波浪容器迁移的水热行为。非达西模型结合了中等孔隙度的影响。合适的关系用于将开发的 PDE 集转换为无量纲形式。流动通过采用 CVFEM 的标准计算技术进行模拟，然后通过熵优化进行分析。由于增强浮力、洛伦兹力和孔隙度对流体运动的热液行为产生的影响由各种图显示。据观察，增加的浮力和中等孔隙度增强了对流并降低了温度。增强的洛伦兹力会降低对流强度并升高流体温度。由于不同贡献而产生的熵也显示依赖于相关参数的变化强度。推导出平均 Nusselt 数和 Bejan 数的解析关系，表明它们对 Rayleigh、Hartmann 和 Darcy 数的依赖。所取得的成果与以往研究相结合，确定了应用程序的正确性。