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流动与传热数值计算通用控制方程的研究

Investigation on the General Governing Equations of Fluid Flow and Heat Transfer Simulations
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摘要 为提高编程效率和程序通用性,流动与传热数值计算中常将不同物理问题的控制方程写成通用控制方程的形式。但目前常用的通用控制方程多适用于描述常物性参数并忽略摩擦效应的物理问题,考虑物性参数变化和摩擦效应的通用控制方程研究较少。基于此,进一步探讨了通用控制方程中物性参数变化和摩擦效应的影响,分析了动量方程中由黏度变化引起的附加项和能量方程中由摩擦效应产生的附加热源项对数值计算结果的影响。结果表明,在黏度较大且非恒定、流场变化较剧烈、物性参数在空间存在突变等情况下是否考虑物性参数变化以及摩擦效应对计算结果的准确性有较大影响,严重时甚至导致计算结果失真。 To improve the programming efficiency and broaden the application scope of program codes in the numerical simulation of fluid flow and heat transfer problems,the equations of different physical problems can be reformulated into a general governing equation form.However,the commonly-used general governing equation is only applicable to the physical problems with constant physical properties and the frictional effect is ignored.There is rare study focusing on the general governing equations considering variable physical properties and frictional effect.To overcome this demerit,in this study the general governing equation that considering effect of variable physical properties and frictional effect is investigated carefully.To be specific,the additional term caused by the variation of viscosity in momentum equations and the addition term caused by the frictional effect in energy equation are analyzed in detail,and their effects on simulation results of general governing equations are analyzed in detail.It is found that whether the variable physical properties and frictional effect are considered would exert significant impacts on the numerical results even sometimes lead to the failure of the simulation when the variable viscosity is really large and the varying of flow field is intense.
作者 李敬法 石国赟 陈宇杰 宇波 LI Jingfa;SHI Guoyun;CHEN Yujie;YU Bo(School of Mechanical Engineering,Beijing Key Laboratory of Pipeline Critical Technology and Equipment for Deepwater Oil&Gas Development,Beijing Institute of Petrochemical Technology,Beijing 102617,China;College of Mechanical Engineering,China University of Petroleum(Beijing),Beijing 102249,China;School of Energy&Power Engineering,Xi'an Jiaotong University,Shanxi 710049,China)
出处 《北京石油化工学院学报》 2020年第4期18-23,共6页 Journal of Beijing Institute of Petrochemical Technology
基金 国家自然科学基金资助项目(51904031,51936001) 北京市自然科学基金资助项目(3204038)。
关键词 通用控制方程 变物性 摩擦效应 数值模拟 压力速度耦合 general governing equation variable physical property frictional numerical simulation pressure-velocity coupling
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