Transition in homogeneously heated inclined plane parallel shear flows
Transition in homogeneously heated inclined plane parallel shear flows
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均匀加热斜面平行剪切流中的转变
DOI：
10.1115/1.1599370
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发表时间：
2003
影响因子：
--
通讯作者：
M. Nagata
中科院分区：
文献类型：
--
作者：
S. Generalis;M. Nagata
内部加热的倾斜平面平行剪切流的过渡数值研究的情况下，有限值的普朗特数Pr。我们表明，作为均匀分布的热源的强度增加的基本流失去稳定性的横向滚动型的二维扰动的垂直方向的流体层的Hopf分叉，而纵向滚动类型的扰动对于倾斜角值的宽范围是最危险的。在水平倾斜的情况下，横摇和纵摇扰动共同对主要的不稳定性负责。线性稳定性分析后，一般倾斜的流体层，我们的注意力集中在有限振幅二次行波解（TW）的数值研究，开发从扰动的横向滚动类型的流体层的垂直倾斜。二次TW对三维扰动的稳定性也进行了研究，我们的研究表明，对于Pr = 0.71的二次不稳定集作为一个准周期模式，而Pr = 7，它是锁相的二次TW。本研究补充和扩展了Nagata和Generalis（2002）在Pr = 0的垂直倾角情况下的最新研究。
The transition of internally heated inclined plane parallel shear flows is examined numerically for the case of finite values of the Prandtl number Pr. We show that as the strength of the homogeneously distributed heat source is increased the basic flow loses stability to two-dimensional perturbations of the transverse roll type in a Hopf bifurcation for the vertical orientation of the fluid layer, whereas perturbations of the longitudinal roll type are most dangerous for a wide range of the value of the angle of inclination. In the case of the horizontal inclination transverse roll and longitudinal roll perturbations share the responsibility for the prime instability. Following the linear stability analysis for the general inclination of the fluid layer our attention is focused on a numerical study of the finite amplitude secondary travelling-wave solutions (TW) that develop from the perturbations of the transverse roll type for the vertical inclination of the fluid layer. The stability of the secondary TW against three-dimensional perturbations is also examined and our study shows that for Pr=0.71 the secondary instability sets in as a quasi-periodic mode, while for Pr=7 it is phase-locked to the secondary TW. The present study complements and extends the recent study by Nagata and Generalis (2002) in the case of vertical inclination for Pr=0.