论文标题
vadasz术语对在ltne中的达西 - 布林克曼各向异性旋转多孔介质中对流的影响
Effect of Vadasz term on the onset of convection in a Darcy-Brinkman anisotropic rotating porous medium in LTNE
论文作者
论文摘要
在本文中,研究了Vadasz惯性术语对Darcy-Brinkman模型的对流动作发作的影响。事实证明,该术语会导致振荡对流发生。因此,对流可以通过振荡或稳定的运动发生。从分析上证明,稳定对流的发作不受VADASZ术语的影响,而振荡对流受到其青睐。此外,排除振荡对流发生的条件是数值确定的。在分析和数值上研究了旋转,相互作用系数以及机械和热各向异性的影响对不稳定性的影响。
In the present paper, the effect of the Vadasz inertia term on the onset of convective motions for a Darcy-Brinkman model is investigated. It is proved that this term leads to the possibility for oscillatory convection to occur. Hence, convection can occur via either oscillatory or steady motions. It is proved analytically that the onset of steady convection is not affected by the Vadasz term, while oscillatory convection is favoured by it. Moreover, conditions to rule out the occurrence of oscillatory convection are determined numerically. The influence of rotation, interaction coefficient and mechanical and thermal anisotropies on the onset of instability is investigated, both analytically and numerically.