Some explicit analytical solutions of field synergy for steady 2D incompressible laminar flow in cylindrical coordinates

Yuanyuan Li; Qibin Liu; Ruixian Cai

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Some explicit analytical solutions of field synergy for steady 2D incompressible laminar flow in cylindrical coordinates

机译：圆柱坐标系中稳定二维不可压缩层流的场协同解析解

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In this paper, several analytical solutions for the steady 2D incompressible laminar flow including the heat source, the mass flow source or no any sources in cylindrical coordinates are derived and analyzed based on the field synergy theory. The physical meanings of the solutions are discussed and explained, which are valuable to further develop the field synergy principle and understand how to improve or to weaken the field synergy in practice. The method of separating variables with addition and another extraordinary method are used to obtain analytical solutions in the process of derivation. Besides theoretical meaning, the solutions can serve as the benchmark problems for developing the numerical heat transfer.

机译：本文基于场协同理论推导并分析了稳态二维不可压缩层流的几种解析解，包括热源，质量流源或圆柱坐标中不存在任何源。讨论和解释了解决方案的物理含义，这对于进一步发展场协同原理并了解如何在实践中改善或削弱场协同具有重要的意义。在推导过程中，使用加法分离变量的方法和另一种非常规方法来获得解析解。除了理论意义外，这些解还可以作为发展数值传热的基准问题。

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来源
《International Journal of Heat and Mass Transfer》 |2011年第26期|p.5568-5573|共6页
作者
Yuanyuan Li; Qibin Liu; Ruixian Cai;
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作者单位

Institute of Engineering Thermophysics, Chinese Academy of Sciences. Beijing 100190, PR China,Graduate University of Chinese Academy of Sciences, Beijing 100049, PR China;

Institute of Engineering Thermophysics, Chinese Academy of Sciences. Beijing 100190, PR China;

Institute of Engineering Thermophysics, Chinese Academy of Sciences. Beijing 100190, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
convective heat transfer; field synergy; analytical solution; cylindrical coordinates; separating variables with addition;

机译：对流换热场协同解析解圆柱坐标附加变量分离;

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1. Explicit analytical solutions for fluid flow and temperature field synergy in cylindrical coordinates [J] . Yuanyuan Li, Qibin Liu, Ruixian Cai International Journal of Thermal Sciences . 2012,第Null期

机译：圆柱坐标系中流体流动和温度场协同作用的显式解析解
2. Systematic modeling and simulations with analytical solutions of electric and weighting fields of 2D-Planar-Electrode and 3D-Trench-Electrode detectors and detector array in Cartesian and cylindrical coordinates [J] . Kuang F. L., Li Z., Long Z. L., Nuclear Instruments & Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment . 2019,第AUGa21期

机译：在笛卡尔坐标系和圆柱坐标系中对2D平面电极和3D Trench电极探测器和探测器阵列的电场和权重场的解析解进行系统建模和仿真
3. Systematic modeling and simulations with analytical solutions of electric and weighting fields of 2D-Planar-Electrode and 3D-Trench-Electrode detectors and detector array in Cartesian and cylindrical coordinates [J] . Kuang F. L., Li Z., Long Z. L., Nuclear Instruments & Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment . 2019,第Auga21期

机译：用笛卡尔和圆柱坐标的2D平面电极和3D沟电极探测器和探测器阵列的电力和加权场分析和模拟和模拟
4. NUMERICAL SIMULATION OF SMALL AMPLITUDE OSCILLATORY CYLINDER UNDER INCOMPRESSIBLE LAMINAR 2D FLUID FLOW : ALE, ARF AND TRANSPIRATION METHODS [C] . Marcus Vinicius G. de Morais, Rene-Jean Gibert, Franck Baj, ASME(American Society of Mechanical Engineers) Pressure Vessels and Piping Conference 2007 . 2008

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5. Numerical solutions of unsteady incompressible Navier-Stokes equations using an explicit finite analytic scheme. [D] . Dai, Weizhong. 1994

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Some explicit analytical solutions of field synergy for steady 2D incompressible laminar flow in cylindrical coordinates

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