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中文摘要：
在圆孔射流直接数值模拟方法或大涡数值模拟方法研究中，由于圆孔射流对称性，大多采用圆柱坐标系。在圆柱坐标系下，进行雷诺输运方程数学表达式的推导研究，给出三个雷诺正应力和一个切应力准确的输运方程数学推导方程。该方程为研究圆孔射流湍流机理以及雷诺平均数值模拟方法模型改进提供了理论基础，具有一定的科学意义和工程应用价值。
英文摘要：
In research on circular hole jet flow direct numerical simulation method or large eddy numerical simulation meth-od,in view of symmetry of circular hole jet flow,it is usually using cylindrical-coordinate system.Under cylindrical-coordi-nate system,this paper introduces deduction research on mathematical expression of Reynolds transport equation and pro-vides three correct mathematical deduction equations of Reynolds positive stress transport equations and one correct mathe-matical deduction equation of shear stress transport equation.The proposed Reynolds transport equation provides theoretical basis for studying turbulence mechanism of circular hole jet flow and improving Reynolds average numerical simulation model which is of important scientific meanings and engineering application value.
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