In our prior study (Schneiderbauer, AIChE J, 2017;63(8):3544–3562), we presented a spatially averaged two‐fluid model, where closure models for the unresolved terms were derived. These closures require constitutive relations for the turbulent kinetic energies (TKEs) of the gas and solids phase as well as for the sub‐filter variance of the solids volume fraction (VVF). In this study, we have performed highly resolved TFM simulations of a set of three‐dimensional wall dominated periodic channels. An a priori analysis shows that these closures are able to correctly predict the wall profiles of the sub‐grid drag modification, the TKEs, the turbulent viscosities and the VVF without requiring special wall corrections. Solely the mixing lengths, which is required by the closures, has to be adapted in the vicinity of wall similar to single‐phase turbulence; in particular, the minimum of the filter size and the distance to the wall should be used. © 2018 The Authors AIChE Journal published by Wiley Periodicals, Inc. on behalf of American Institute of Chemical Engineers AIChE J, 64: 1591–1605, 2018

中文翻译：

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气固两相流空间平均模型的验证研究：I.边界流的先验分析

在我们先前的研究中（Schneiderbauer，AIChE J，2017； 63（8）：3544–3562），我们提出了空间平均的两流体模型，其中推导了未解决项的闭合模型。这些封闭要求气相和固相的湍动能（TKE）以及固相体积分数（VVF）的子过滤器方差具有本构关系。在这项研究中，我们对一组三维墙主导的周期性通道进行了高度分辨的TFM模拟。先验分析表明，这些闭合件能够正确预测次网格阻力修改，TKE，湍流粘度和VVF的壁轮廓，而无需进行特殊的壁校正。仅封闭件所需的混合长度，必须在壁附近进行调整，类似于单相湍流；特别是，应使用最小的过滤器尺寸和与墙壁的距离。©2018 Wiley Periodicals，Inc.代表美国化学工程师学会出版的《作者AIChE期刊》AIChE J，64：1591–1605，2018