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arXiv 2204.08014physics.flu-dyn
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基于有限体积法的机翼薄膜流和积冰模型

Finite volume based film flow and ice accretion models on aircraft wings

Tong Liu, Jinsheng Cai, Kun Qu, Shucheng Pan

摘要:

本文研究了结冰飞机表面在气流、压力梯度和重力作用下的薄回流水膜。基于有限体积法和润滑理论建立了三维油膜流动模型。为了避免度量张量的出现,将胶片的深度平均速度存储在笛卡尔坐标中。控制方程在第一层结构网格单元中离散,并选择第一层结构网格单元作为膜流的网格。为了验证该方法的有效性,对NACA 0012翼型和GLC-305后掠翼上的冰形进行了数值模拟,并与实验结果进行了比较,两者在霜冰和雨凇冰条件下吻合较好。总体而言,该模型显示了巨大的潜力,在不同的结冰条件下,合理的积冰模型。此外,该方法不需要解析度量项,可以很容易地耦合到现有的有限体积求解器的逻辑笛卡尔网格。

英文摘要:

The thin runback water films driven by the gas flow, the pressure gradient and the gravity on the iced aircraft surface are investigated in this paper. A three-dimensional film flow model based on Finite Volume Method (FVM) and the lubrication theory is proposed to describe the flow. The depth-averaged velocity of the film is stored in Cartesian coordinates to avoid the appearance of the metric tensors. The governing equations are discretized in the first layer structured grid cell which is selected as the grids for film flow. In order to verify this method, comparisons between numerical results and experimental results of ice shapes on NACA 0012 airfoil and GLC-305 swept wing are presented, both showing a good agreement for rime and glaze ice condition. Overall, this model shows great potential to model ice accretion reasonably under different icing conditions. Besides, the present method doesn't require analytic metric terms, and can be easily coupled to existing finite volume solvers for logically Cartesian meshes.

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