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首页> 外文期刊>International Journal of Heat and Mass Transfer >Stability of an oscillatory shear flow in a differentially heated vertical channel
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Stability of an oscillatory shear flow in a differentially heated vertical channel

机译：差分加热垂直通道中振荡剪切流的稳定性

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摘要

The linear stability of an oscillatory shear flow in a differentially heated vertical channel was investigated numerically for Re = 1000 and Pr = 0.7. The Galerkin method is used to solve the disturbance momentum and energy equations. The results show that the least stable disturbance could be three-dimensional for higher flow oscillation frequency and larger flow oscillation amplitude, while it is two-dimensional in the isothermal oscillatory and heated steady channel flows. The flow oscillation acts to stabilize the flow at moderate and high oscillation frequencies, where the degree of stabilization increases with the oscillation amplitude; but, it acts to destabilize the flow and the amount of destabiliza-tion increases with the oscillation amplitude at low oscillation frequency. It is shown from the balance of disturbance kinetic energy budget that shear production is responsible for the flow instability. For the 2-D wave initiated instability, almost all the shear production is generated during a very short time interval at low oscillation frequency, while it is generated during most of the time of a cycle for the 3-D disturbance.
机译：在Re = 1000和Pr = 0.7的情况下，数值研究了差分加热垂直通道中的振荡剪切流的线性稳定性。 Galerkin方法用于求解扰动动量和能量方程。结果表明，对于较高的流动振荡频率和较大的流动振荡幅度，最小稳定扰动可以是三维的，而在等温振荡和加热的稳定通道流中则是二维的。液流振荡的作用是将流体稳定在中等和较高的振荡频率下，其中稳定度随振荡幅度而增加；但是，它起到使流量不稳定的作用，并且在低振荡频率下，不稳定程度随振荡幅度的增加而增加。从扰动动能收支的平衡可以看出，剪切的产生是流动不稳定的原因。对于二维波动引发的不稳定性，几乎所有的剪切产生都是在很短的时间间隔内以低振荡频率产生的，而剪切产生则是在3-D扰动的周期的大部分时间内产生的。

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