Abstract This work studies the thermogravitational transmission and thermal radiation of micropolar nanoliquid within a porous chamber in the presence of the uniform magnetic influence. The model includes the single-phase nanofluid approach, local thermal equilibrium approximation and Darcy law for the processes within the porous structure. The Galerkin finite element method with the structured non-uniform mesh is used to calculate the formulated equations. The key characteristics are the Darcy–Rayleigh number Ra = 10–1000, Darcy number Da = 10−5–10−1, porosity e = 0.1–0.9, nanoparticles concentration φ = 0–0.04, radiation parameter Rd = 0–2, vortex viscosity characteristic Δ = 0–2, and Hartmann number Ha = 0–50. It has been ascertained the energy transport intensification with thermal radiation parameter, Darcy–Rayleigh number, porosity and nanoparticles concentration. Also, the results indicate that the average Nusselt number reduces with an increment of the Hartmann number for high values of the Rayleigh number, while for low magnitudes of the Rayleigh number a weak change of the average Nusselt number can be found.

中文翻译：

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微极性纳米液体在多孔室中的 MHD 热重力对流和热辐射

摘要 这项工作研究了在均匀磁影响下多孔室内微极性纳米液体的热引力传输和热辐射。该模型包括单相纳米流体方法、局部热平衡近似和多孔结构内过程的达西定律。使用具有结构化非均匀网格的 Galerkin 有限元方法来计算公式化方程。关键特征是达西-瑞利数 Ra = 10-1000，达西数 Da = 10-5-10-1，孔隙率 e = 0.1-0.9，纳米粒子浓度 φ = 0-0.04，辐射参数 Rd = 0-2，涡流粘度特性 Δ = 0–2，哈特曼数 Ha = 0–50。已经确定了热辐射参数、达西-瑞利数、孔隙率和纳米颗粒浓度。此外，结果表明，对于瑞利数的高值，平均努塞尔数随着哈特曼数的增加而减小，而对于瑞利数的低幅度，可以发现平均努塞尔数的微弱变化。