The momentary instability of a saturated porous layer with a time-dependent temperature distribution, and the most unstable disturbance
The momentary instability of a saturated porous layer with a time-dependent temperature distribution, and the most unstable disturbance
复制标题
具有随时间变化的温度分布的饱和多孔层的瞬时不稳定性以及最不稳定的扰动
DOI：
10.1029/wr026i009p02015
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发表时间：
1990
影响因子：
5.4
通讯作者：
T. Green
中科院分区：
文献类型：
--
作者：
T. Green
利用瞬时稳定性的思想和伽辽金技术，研究了水平饱和多孔层中随时间变化的垂直温度分布流体的稳定性。最不稳定的扰动是通过最小化临界瑞利数在该扰动的傅立叶幅值上，使用迭代和单纯形程序找到的。作为一个例子，在这种情况下，原来的线性，稳定的温度分布是通过降低上界的温度以恒定的速率改变了详细研究。
The stability of fluid with a time-dependent vertical temperature distribution in a horizontal, saturated porous layer is investigated, using the idea of momentary stability and a Galerkin technique. The most unstable disturbance is found by minimizing the critical Rayleigh number over the Fourier amplitudes of that disturbance, using both an iterative and a simplex procedure. As an example, the case in which an originally linear, stable temperature distribution is changed by lowering the temperature of the upper boundary at a constant rate is examined in detail.