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首页> 外文期刊>International Journal of Heat and Mass Transfer >The influence of higher order effects on the linear wave instability of vertical free convective boundary layer flow
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The influence of higher order effects on the linear wave instability of vertical free convective boundary layer flow

机译：高阶效应对垂直自由对流边界层流动线性波动不稳定性的影响

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摘要

We examine the stability of free convective boundary layer flow over a vertical heated flat plate with respect to two-dimensional wave disturbances. In particular we determine the effect of the overall external geometry on the stability criterion. The fluid domain is taken to be bounded by two semi-infinite flat plates forming a wedge of angle a. The vertical plate is held at a uniform hot temperature while the other is either insulated or is held at the ambient temperature of the fluid. The basic flow used in the analysis is a two-term boundary-layer approximation using the method of matched asymptotic expansions. A modified version of the Keller-box method is used to solve the linearised wave-disturbance equations numerically. The neutral curves have been delineated for different values of wedge angle, a, where the working fluids are water and air. We find that the critical distance from the leading edge beyond which disturbances grow is strongly dependent on a, and this suggests that the external geometry of the fluid domain exerts a considerable influence on stability criteria.
机译：我们针对二维波扰动检查了垂直加热平板上自由对流边界层流动的稳定性。特别是，我们确定整体外部几何形状对稳定性准则的影响。流体域被两个半无限的平板界定，形成角度为a的楔形。垂直板保持在均匀的高温下，而另一个则绝缘或保持在流体的环境温度下。分析中使用的基本流程是使用匹配渐近展开法的两层边界层近似。使用Keller-box方法的修改版本来数值求解线性化的波扰动方程。已针对楔角a的不同值绘制了中性曲线，其中工作流体为水和空气。我们发现，从前缘开始的临界距离（扰动在该临界距离之外）很大程度上取决于a，这表明流域的外部几何形状对稳定性标准产生了很大影响。

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