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The influence of higher order effects on the vortex instability of thermal boundary layer flow in a wedge-shaped domain

机译:高阶效应对楔形区域内热边界层流动涡旋不稳定性的影响

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摘要

We reconsider the onset of streamwise vortices in the thermal boundary layer flow induced by an inclined upward-facing heated semi-infinite surface placed within a Newtonian fluid. Particular emphasis is laid upon how the induced flow in the isothermal region outside the boundary layer affects the boundary layer itself at higher order, and how this, in turn, affects the stability criterion for the onset of vortices. We find that the stability criterion for thermal boundary layers in air is less susceptible to changes in external geometry than for boundary layers in water. In general, we conclude that the variation of the stability criterion with wedge angle (between the heated and the outer boundary surface) is too great for the theory to predict reliably where disturbances first begin to grow.
机译:我们重新考虑了由牛顿流体中的一个向上倾斜的受热半无限大表面所引起的热边界层流中沿流涡旋的开始。特别强调的是,边界层外部的等温区域中的感应流如何以更高的顺序影响边界层本身,以及这又如何影响涡旋爆发的稳定性标准。我们发现,与水中的边界层相比,空气中的热边界层的稳定性准则对外部几何形状的变化更不敏感。总的来说,我们得出结论,稳定性标准随楔角(在受热和外边界表面之间)的变化太大,以至于该理论无法可靠地预测扰动首先在何处开始增长。

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