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首页> 外文期刊>Journal of Heat Transfer >Transition in Homogeneously Heated Inclined Plane Parallel Shear Flows
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Transition in Homogeneously Heated Inclined Plane Parallel Shear Flows

机译：均匀加热倾斜平面平行剪切流的过渡

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摘要

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.
机译：对于普朗特数Pr的有限值，对内部加热的倾斜平面平行剪切流的过渡进行数值检查。我们显示，随着均匀分布的热源强度的增加，基本流在霍夫夫分叉中对流体层的垂直方向的横向扰动类型的二维扰动失去稳定性，而纵向扰动类型的扰动则为最广泛的倾斜角度值最危险。在水平倾斜的情况下，横向滚动和纵向滚动的扰动是主要不稳定的原因。在对流体层的总体倾角进行线性稳定性分析之后，我们的注意力集中在有限振幅二次行波解（TW）的数值研究上，该解决方案是由横向滚动类型对流体的垂直倾角的扰动发展而来的层。还检查了次级TW对三维扰动的稳定性，我们的研究表明，对于Pr = 0.71，次级不稳定性以准周期模式设置，而对于Pr = 7，它与次级TW锁相。本研究补充和扩展了Nagata和Generalis（2002）在Pr = 0垂直倾斜情况下的最新研究。

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