Convection induced by instabilities in the presence of a transverse seepage
Convection induced by instabilities in the presence of a transverse seepage
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存在横向渗漏时不稳定引起的对流
DOI：
10.1016/j.chaos.2016.07.012
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发表时间：
2016
影响因子：
7.8
通讯作者：
S. Generalis
中科院分区：
文献类型：
--
作者：
T. Akinaga;T. Itano;S. Generalis
本文用数值方法研究了不同普朗特数情况下垂直层流中存在流向压力梯度时横向加热流动的转捩。文献[1]中曾报道过纯流体动力情况（Pr = 0）的基流稳定性分析。我们发现，在没有横向泵浦的情况下，先前已知的临界参数被恢复[2]，而随着Poiffille流分量的强度增加，对流运动被显著延迟。在对垂直槽道流进行线性稳定性分析之后，我们的注意力集中在研究有限振幅二次行波（TW）解，该解是由施加在基本流和温度分布上的横向滚型扰动发展而来的。还研究了二次行波对三维扰动的线性稳定性，结果表明，分叉的三级流被锁相到二次行波。
The transition of laterally heated flows in a vertical layer and in the presence of a streamwise pressure gradient is examined numerically for the case of different values Prandtl number. The stability analysis of the basic flow for the pure hydrodynamic case (P r= 0) was reported in [1]. We find that in the absence of transverse pumping the previously known critical parameters are recovered [2], while as the strength of the Poiseuille flow component is increased the convective motion is delayed considerably. Following the linear stability analysis for the vertical channel flow our attention is focused on a study of the finite amplitude secondary travelling-wave (TW) solutions that develop from the perturbations of the transverse roll type imposed on the basic flow and temperature profiles. The linear stability of the secondary TWs against three-dimensional perturbations is also examined and it is shown that the bifurcating tertiary flows are phase-locked to the secondary TWs.
瑞利弱非线性理论的有效性范围
影响因子：
1.7
作者：
Gyoko Nagayama;Kosuke Yanai;Takaharu Tsuruta;S. C. Generalis and K. Fujimura
通讯作者：
S. C. Generalis and K. Fujimura