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Scaling heat transfer in fully developed turbulent channel flow

机译:在充分发展的湍流通道中缩放传热

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An analysis is given for fully developed thermal transport through a wall-bounded turbulent fluid flow with constant heat flux supplied at the boundary. The analysis proceeds from the averaged heat equation and utilizes, as principal tools, various scaling considerations. The paper first provides an accounting of the relative dominance of the three terms in that averaged equation, based on existing DNS data. The results show a clear decomposition of the turbulent layer into zones, each with its characteristic transport mechanisms. There follows a theoretical treatment based on the concept of a scaling patch that justifies and greatly extends these empirical results. The primary hypothesis in this development is the monotone and limiting Peclet number dependence (at fixed Reynolds number) of the difference between the specially scaled centerline and wall temperatures. This fact is well corroborated by DNS data. A fairly complete qualitative and order-of-magnitude quantitative picture emerges for a complete range in Peclet numbers. It agrees with known empirical information. In a manner similar to previous analyses of turbulent fluid flow in a channel, conditions for the existence or nonexistence of logarithmic-like mean temperature profiles are established. Throughout the paper, the classical arguments based on an assumed overlapping of regions where the inner and outer scalings are valid are avoided.
机译:通过在边界处提供恒定热通量的壁边界湍流流动,对充分发展的热传输进行了分析。该分析从平均热量方程式出发,并利用各种缩放比例因素作为主要工具。本文首先根据现有的DNS数据,说明了该平均方程式中这三个术语的相对优势。结果表明,湍流层清楚地分解成区域,每个区域都有其独特的传输机制。接下来是基于缩放补丁程序概念的理论处理,该理论处理证明并大大扩展了这些经验结果。此发展过程中的主要假设是特殊缩放的中心线和壁温之间的差异的单调和限制性Peclet数依赖性(在固定的雷诺数下)。 DNS数据充分证实了这一事实。对于Peclet数的完整范围,出现了一个相当完整的定性和数量级定量图。它符合已知的经验信息。以类似于先前对通道中的湍流流动进行分析的方式,建立了对数样平均温度曲线的存在或不存在的条件。在整个论文中,避免了基于内部和外部缩放有效区域假定重叠的经典论证。

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