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Mathematical modeling of turbulent boundary layers, modified by wall-localized drag reduction techniques

机译：湍流边界层的数学模型，通过壁局部减阻技术修改

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Skin friction drag reduction via turbulence manipulating implies a purposeful influence on a very complicated mechanism of vortical' structure dynamics with wide range of scales and the disturbances localized in the wall vicinity. The goal of this research is to propose the complex unified approach for semi-empirical modeling.of turbulent viscosity with possibility to take into account both simultaneous and separate influence of such factors as: streamlined surface relief (from macro ribs to microgrooves), uniform and intermitted microblowing, polymer additives injection and Large Eddy Breakup devices. There are three principal advantages of the developed model: 1) It has hybrid structure, joining algebraic (in the wall region) and differential (in the wake region) modeling descriptions, that makes them very flexible in various cases of different turbulent flows prediction; 2) It is built on the base of common principles and its potential generalization to the case of heat conductivity modeling doesn't require the use of Reynolds analogy (incorrect in the vicinity of the rough surface) in the wall region of turbulent boundary layer; 3) The proposed approach is not limited by only RANS level of flow modeling, it can be effectively adapted for improving the near-wall subgrid turbulence model in frames of LES/DES techniques. The elaborated model due to its ability to take into account the mentioned above factors both independently and in different combinations demonstrate universal approach that allows to simulate simultaneous acting the different flow control methods, investigate their non-linear interaction and optimize geometric characteristics and operating conditions for searching the synergistic modes of functioning. The applicability of the developed model is proved by qualitative agreement of wide range of mentioned above kinds of turbulent flows predictions and the experimental results, obtained by different researchers. The proposed modeling approach can be recommended for its application in different research and engineering fields, associated with turbulence vortical structure manipulating. (C) 2019 Elsevier Masson SAS. All rights reserved.
机译：通过湍流操纵来减少皮肤摩擦阻力意味着对涡旋结构动力学的非常复杂的机制有故意的影响，该机制具有大范围的尺度和壁附近的扰动。本研究的目的是为湍流粘度提出一种复杂的统一的半经验建模方法，并可能同时考虑到以下因素的同时和单独影响：流线型表面浮雕（从大肋到微沟槽），均匀和均匀。间歇式微吹，聚合物添加剂注入和大型涡流破碎装置。所开发模型的三个主要优点是：1）具有混合结构，结合了代数（在壁区域）和微分（在尾流区域）模型描述，这使得它们在不同湍流预测的各种情况下都非常灵活； 2）它是基于通用原理构建的，它对热传导模型的潜在概括不需要在湍流边界层的壁区域中使用雷诺类比（在粗糙表面附近不正确）； 3）所提出的方法不仅限于RANS级别的流模型，它还可以有效地用于改进LES / DES技术框架中的近壁亚网格湍流模型。精心设计的模型由于能够独立地和以不同的组合方式考虑到上述因素，因此展示了通用方法，该方法可模拟同时作用于不同流量控制方法，研究其非线性相互作用并优化几何特性和操作条件，寻找功能的协同作用模式。通过上述各种湍流预测的广泛定性一致性和不同研究人员获得的实验结果，证明了所开发模型的适用性。可以将建议的建模方法推荐用于与湍流旋涡结构操纵相关的不同研究和工程领域。 （C）2019 Elsevier Masson SAS。版权所有。

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