Thermovibrational convection in a water based metallic (Cu-water and Ag-water) or metallic oxide (Al${}_2$O${}_3$-water and TiO${}_2$-water) nanofluid saturated porous medium is addressed incorporating the Brinkman boundary correction. The nanofluid behaves more like a fluid rather than a conventional solid–fluid mixture and is studied through Khanafer–Vafai–Lightstone (KVL) model. A linear stability analysis is carried out through the Floquet theory to find the instability thresholds for convection onset in terms of critical Rayleigh number and critical wavenumber. The results corresponding to synchronous as well as subharmonic modes are obtained for the Darcy and Brinkman regimes. A rise in particle concentration is found to cause stabilizing response in general. However, it leaves an opposite effect in the Brinkman regime when the medium is filled with metallic nanofluid and is heated from above. Under this situation, the use of oblate-spheroidal particles in achieving optimal convective heat transfer enhancement is highlighted.

水基金属（Cu-水和Ag-水）或金属氧化物（Al）中的热振动对流${}_2$哦${}_3$-水和二氧化钛${}_2$-water) 纳米流体饱和多孔介质结合 Brinkman 边界校正得到解决。纳米流体的行为更像流体而不是传统的固液混合物，并通过 Khanafer-Vafai-Lightstone (KVL) 模型进行研究。通过 Floquet 理论进行线性稳定性分析，以根据临界瑞利数和临界波数找到对流开始的不稳定阈值。对于 Darcy 和 Brinkman 状态，获得了对应于同步和次谐波模式的结果。发现颗粒浓度的升高通常会引起稳定反应。然而，当介质充满金属纳米流体并从上方加热时，它会在 Brinkman 方案中留下相反的效果。在这种情况下，