Analytical study of turbulent Poiseuille flow with wall transpiration
Analytical study of turbulent Poiseuille flow with wall transpiration
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含壁蒸腾的湍流泊肃叶流解析研究
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
M. Oberlack
中科院分区：
文献类型：
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作者：
I. Vigdorovich;M. Oberlack
考虑两个平行壁之间不可压缩的、压力驱动的、充分发展的湍流，具有额外的恒定横向速度分量。制定了闭合条件，它将剪切应力与纵向平均速度的一阶和二阶导数相关联。导出闭合条件时无需对湍流运动的性质提出任何特殊假设，仅利用流动取决于有限数量的控制参数这一事实。借助闭包条件，动量方程被简化为二阶微分方程的边值问题，并通过基于摩擦速度的高雷诺数对数匹配渐近展开的方法求解。通道中存在三个特征流动区域：核心区域和靠近注入壁和吸力壁的两个壁区域。对于每个区域，都会构建解决方案。渐近匹配给出公式...
An incompressible, pressure-driven, fully developed turbulent flow between two parallel walls, with an extra constant transverse velocity component, is considered. A closure condition is formulated, which relates the shear stress to the first and the second derivatives of the longitudinal mean velocity. The closure condition is derived without invoking any special hypotheses on the nature of turbulent motion, only taking advantage of the fact that the flow depends on a finite number of governing parameters. By virtue of the closure condition, the momentum equation is reduced to the boundary-value problem for a second-order differential equation, which is solved by the method of matched asymptotic expansions at high values of the logarithm of the Reynolds number based on the friction velocity. There are three characteristic flow regions in the channel: the core region and two wall regions near injection and suction walls. For each region, the solution is constructed. The asymptotic matching gives formulas ...