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首页> 外文期刊>Journal of Heat Transfer >Numerical Investigation Of Thelinear Stability Of A Free Convection Boundary Layer Flow Using A Thermal Disturbancernwith A Slowly Increasing Frequency
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Numerical Investigation Of Thelinear Stability Of A Free Convection Boundary Layer Flow Using A Thermal Disturbancernwith A Slowly Increasing Frequency

机译：频率缓慢增加的热扰动对流边界层流动线性稳定性的数值研究

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摘要

Numerical simulations are performed to investigate the linear stability of a two-dimensional incompressible free convection flow induced by a vertical semi-infinite heated flat plate. A small-amplitude local temperature disturbance with a slowly increasing frequency is introduced on the surface near to the leading edge in order to generate disturbance waves within the boundary layer. The aim is to compare the response of the thermal boundary layer with that obtained by selecting discrete disturbance frequencies. In the present study, air is considered to be the working fluid for which the value of the Prandtl number is taken to be Pr = 0.7. The computational results show that the disturbance decays initially until it reaches a critical distance, which depends on the current frequency of the disturbance. Thereafter the disturbance grows, but the growth rate also depends on the effective frequency of the disturbance. Comparisons with previous work using constant disturbance frequencies are given, and it is shown that the sine-sweep technique is an effective method for analyzing the instability of convectively unstable boundary layers.
机译：进行数值模拟以研究由垂直半无限加热平板引起的二维不可压缩自由对流的线性稳定性。在靠近前缘的表面上引入频率缓慢增加的小幅度局部温度扰动，以便在边界层内产生扰动波。目的是将热边界层的响应与通过选择离散干扰频率获得的响应进行比较。在本研究中，空气被认为是工作流体，其普朗特数的值被认为是Pr = 0.7。计算结果表明，干扰首先衰减直至达到临界距离，该临界距离取决于干扰的当前频率。此后，干扰增大，但是增长率也取决于干扰的有效频率。与以前使用恒定干扰频率的工作进行了比较，结果表明，正弦扫描技术是分析对流不稳定边界层不稳定性的有效方法。

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