Non-parallel linear stability analysis of the vertical boundary layer in a differentially heated cavity
Non-parallel linear stability analysis of the vertical boundary layer in a differentially heated cavity
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DOI：
10.1017/s0022112097007258
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发表时间：
1997-12
影响因子：
3.7
通讯作者：
A. Brooker;J. Patterson;S. Armfield
中科院分区：
文献类型：
--
作者：
A. Brooker;J. Patterson;S. Armfield
利用抛物化稳定性方程中的假设，对浮力驱动的差动加热腔体流动进行了非平行线性稳定性分析。完整的Navier-Stokes方程和能量方程的数值积分是用来验证非平行理论，通过在边界层的上游端引入振荡热输入。这样，稳定性的性质得到分析所产生的干扰的演变。解的结果表明，空间增长率和波数的高度依赖于横向位置和所考虑的扰动流量。抛物化稳定性方程的局部解准确地预测了在直接模拟中观察到的波的性质，而传统的并行稳定性分析过度预测了空间放大和波数。
A non-parallel linear stability analysis which utilizes the assumptions made in the parabolized stability equations is applied to the buoyancy-driven flow in a differentially heated cavity. Numerical integration of the complete Navier–Stokes and energy equations is used to validate the non-parallel theory by introducing an oscillatory heat input at the upstream end of the boundary layer. In this way the stability properties are obtained by analysing the evolution of the resulting disturbances. The solutions show that the spatial growth rate and wavenumber are highly dependent on the transverse location and the disturbance flow quantity under consideration. The local solution to the parabolized stability equations accurately predicts the wave properties observed in the direct simulation whereas conventional parallel stability analysis overpredicts the spatial amplification and the wavenumber.