A simple formula for vertical eddy diffusion coefficients under conditions of nonneutral stability
A simple formula for vertical eddy diffusion coefficients under conditions of nonneutral stability
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非中性稳定条件下垂直涡扩散系数的简单公式
DOI：
10.1029/jc087ic08p05860
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发表时间：
1982
影响因子：
--
通讯作者：
B. Henderson
中科院分区：
文献类型：
--
作者：
B. Henderson
水体中热量和动量的垂直湍流传输通常被参数化为适当的(垂直)涡旋扩散系数的中性值乘以梯度理查森数的函数。对以前发表的这些稳定性函数公式的分析表明，它们与垂直涡扩散系数的非中性和中性值之比的观测值[Ueda等人，1981]不一致，也与湍流Prandtl数或通量Richardson数的观测值[Linden，1979]不一致。提出了一种新的湍流换热情况下的稳定性函数公式，其形式为反二次形式。结果表明，在动量转移的情况下，这种表述与适当的逆线性形式相结合，与最近的数据符合得很好。
Vertical turbulent transport of heat and momentum in water bodies is often parameterized as the neutral value of the appropriate (vertical) eddy diffusion coefficient, multiplied by a function of the gradient Richardson number. An analysis of previously published formulae for these stability functions shows that they are not consistent with observed values for the ratio between nonneutral and neutral values of the vertical eddy diffusion coefficients [Ueda et al., 1981] nor with observed values of the turbulent Prandtl number or the flux Richardson number [Linden, 1979]. A new formulation for the stability function in the case of turbulent heat transfer is proposed which is of an inverse quadratic form. It is shown that this representation, together with an appropriate inverse linear form in the case of momentum transfer, is in excellent agreement with recent data.