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首页> 外文期刊>International Journal of Heat and Mass Transfer >Thermal instability of viscoelastic fluids in porous media
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Thermal instability of viscoelastic fluids in porous media

机译：多孔介质中粘弹性流体的热不稳定性

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摘要

A theoretical analysis of thermal instability driven by buoyancy forces is conducted in an initially quiescent, horizontal porous layer saturated by viscoelastic fluids. Modified Darcy's law is used to explain characteristics of fluid motion. The linear stability theory is employed to find the critical condition of the onset of convective motion. The results of the linear stability analysis show that the overstability is a preferred mode for a certain parameter range. Based on the results of linear stability analysis, a nonlinear stability analysis is conducted. The onset of convection has the form of a supercritical and stable bifurcation independent of the values of the elastic parameters. The Landau equations and the Nusselt number variations are derived for steady and oscillatory modes.
机译：由浮力驱动的热不稳定性的理论分析是在最初被粘弹性流体饱和的静态水平多孔层中进行的。修正的达西定律用于解释流体运动的特征。线性稳定性理论被用来寻找对流运动开始的临界条件。线性稳定性分析的结果表明，对于某些参数范围，过稳定性是一种首选模式。基于线性稳定性分析的结果，进行了非线性稳定性分析。对流的开始具有超临界和稳定的分叉形式，与弹性参数的值无关。推导了Landau方程和Nusselt数变体的稳态和振荡模式。

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