Thermal and flow analysis is performed for natural convection in a porous trapezoidal cavity considering a non-equilibrium thermal energy transport model. The model study comprises a partially and fully heated bottom wall while obstacles are placed inside the cavity to examine the thermal behavior. However, governing energy and momentum equations exhibit an unsteady state, but the numerical outcomes are obtained after employing the steady-state condition. The physical problem is expressed in a mathematical model and numerically simulated using the finite difference scheme. The results are presented in graphical sets, while a comparative tabular analysis with existing literature is also reported. It is demonstrated that the parameters γ and H affect thermal non-equilibrium and that the isotherms and streamlines are symmetrically distributed around the obstacles. The local Nusselt number and average Nusselt numbers show a dominant enhancement for both fluids and solid phases assisted by Rayleigh numbers while decreased with an increase in the heating domains. The reported study will be useful in analyzing the natural convection thermal non-equilibrium models in curvilinear geometries.

考虑非平衡热能传输模型，对多孔梯形腔中的自然对流进行热和流动分析。模型研究包括部分加热和完全加热的底壁，同时在空腔内放置障碍物以检查热行为。然而，控制能量和动量方程表现出非稳态，但数值结果是在采用稳态条件后获得的。物理问题以数学模型表示，并使用有限差分格式进行数值模拟。结果以图形集形式呈现，同时还报告了与现有文献的比较表格分析。结果表明，参数 γ 和 H 影响热非平衡，并且等温线和流线对称分布在障碍物周围。局部 Nusselt 数和平均 Nusselt 数显示出在瑞利数的帮助下，流体和固相的显着增强，而随着加热域的增加而减少。报告的研究将有助于分析曲线几何中的自然对流热非平衡模型。