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Derivation of energy equation for turbulent flow with two-point correlation

机译:两点相关的湍流能量方程的推导

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The energy equation for turbulent flow has been derived in terms of correlation tensors of second order, where the correlation tensors are the functions of space coordinates, distance between two points and time. An independent variable has been introduced in order to differentiate between the effects of distance and location. To reveal the relation of turbulent energy between two points, one point has been taken as the origin of the coordinate system. Correlation between pressure fluctuations and velocity fluctuations at the two points of flow field is applied to the turbulent energy equation.
机译:根据二阶相关张量推导了湍流的能量方程,其中相关张量是空间坐标,两点之间的距离和时间的函数。为了区分距离和位置的影响,引入了一个自变量。为了揭示两点之间的湍流能量关系,已将一个点作为坐标系的原点。将流场两点的压力波动和速度波动之间的相关性应用于湍流能量方程。

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