| 轴对称层流到湍流转捩区间速度和温度的振荡统计特性研究 |
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| 引用本文： | 张若凌,乐嘉陵.轴对称层流到湍流转捩区间速度和温度的振荡统计特性研究[J].实验流体力学,2019,33(2):30-42. |
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| 作者姓名： | 张若凌 乐嘉陵 |
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| 作者单位： | 中国空气动力研究与发展中心高超声速冲压发动机技术重点实验室,四川绵阳,621000;中国空气动力研究与发展中心高超声速冲压发动机技术重点实验室,四川绵阳,621000 |
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| 基金项目： | 国家重点研发计划项目2017YFB0202400国家重点研发计划项目2017YFB0202404 |
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| 摘 要： | 热力学平衡系统连续相变的理论方法，被推广用来讨论圆管内轴对称层流到湍流转捩区间的流动和振荡特性。假设在转捩区间径向脉动速度与充分发展区的湍流在数值上完全相同，在每一个截面上转捩流动可以看成是充分发展区的层流和湍流的合成流动。湍流成分的合成比例作为序参数用来定义合成流动。引入合成比例的振荡后，运用最小熵产生准则得到一个可以描述转捩行为的方程。采用相同的处理方法讨论了加热圆管内转捩区间的对流传热特性。在圆管内的流动和对流传热允许相似和独立的转捩过程，在转捩区间宏观振荡同时具有随机性和确定性。最后与实验进行了对比，包括流动和传热实验得到的测量结果。
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| 关 键 词： | 转捩区间 合成流动 振荡 最小熵产生 |
| 收稿时间： | 2018-08-24 |
The statistics of velocity and temperature fluctuations in axisymmetric laminar-to-turbulent transitions |
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| Affiliation: | Science and Technology on Scramjet Laboratory, China Aerodynamics Research and Development Center, Mianyang Sichuan 621000, China |
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| Abstract: | The procedures for studying continuous phase transitions of thermodynamic equilibrium systems are extended to discuss the laminar-to-turbulent transitional flows in circular tubes. The flow in the transition range is treated as a composition of the laminar and turbulent flows assuming that the radial fluctuating velocity has the same value as that of the fully turbulent flow. The composite ratio of the turbulent flow is used as an order parameter to define the composite flow. The fluctuations of the composite ratios are introduced, and the criterion of minimum entropy production is used to derive an equation which can describe the transition behaviors. The convective heat transfer characteristics in the transition range in a heated circular tube are also discussed adopting the same procedures. Similar and separate processes for the transitions of the flow and convective heat transfer types are allowed in the heated circular tube. The macroscopic fluctuations in the transition range show both probabilistic and deterministic characteristics simultaneously. The agreements with measurements are given including those obtained in flow and heat transfer experiments. |
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