The equations governing turbulent flow of micropolar incompressible media are studied using the Reynolds decomposition. The average force-stress is augmented by the Reynolds stress of the same form as in classical continuum mechanics, while the average couple-stress is augmented by a new turbulent couple-stress. Additionally, the average heat flux and internal energy density are modified from the expressions known in classical turbulent fluids. On this basis, the entropy inequality is examined in both classical and micropolar continuum settings.

中文翻译：

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湍流微极介质的平均：湍流耦合应力、热通量和能量

使用雷诺分解研究了控制微极不可压缩介质湍流流动的方程。平均力应力由与经典连续介质力学相同形式的雷诺应力增加，而平均耦合应力由新的湍流耦合应力增加。此外，从经典湍流流体中已知的表达式修改了平均热通量和内部能量密度。在此基础上，在经典和微极连续介质设置中检查了熵不等式。