Forced convection with constant vorticity over an infinite wedge

Sidney Stuckenbruck
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Abstract

The vorticity effect on the forced convection problem of a viscois flow over a semi-infinite non-isothermal wedge is analysed. A solution is found using the method of matched asymptotic expansions up to the order of 1Re. Numerical solutions for wedge semi-angle of 0 and 18 degrees, as well as Prandtl numbers 0.7, 1 and 10 are shown. The results indicate that the vorticity can increase or decrease considerably the heat flux and that the second order terms may introduce significant corrections for low Reynolds numbers (less than 103).

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在无限楔上具有恒定涡度的强迫对流
分析了粘流在半无限非等温楔上的强迫对流问题中的涡量效应。利用匹配渐近展开式的方法,找到了一个解,直到1Re阶。给出了0度和18度楔形半角以及普朗特数0.7、1和10的数值解。结果表明,涡度可以显著地增加或减少热流密度,对于低雷诺数(小于103),二阶项可以引入显著的修正。
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