具有多孔介质覆面层的柱体绕流流场分析

doi:10.19596/j.cnki.1001-246x.8441

摘要/Abstract

摘要：

建立多孔结构覆面柱体绕流模型, 采用含Darcy-Brinkman-Forchheimer作用力项的格子Boltzmann方程对覆盖多孔介质层的方柱绕流进行数值模拟, 研究多孔介质对钝体绕流流场特性的影响。结果表明: 相比于不可渗透壁的柱体, 引入合适参数的多孔介质覆面层后可以有效降低其升力脉动幅值, 但阻力有所增加。同时, 较高雷诺数下多孔方柱的数值模拟表明: 多孔介质壁面使得尾迹区域的剪切层相距更远, 降低了尾流处湍动能, 并将雷诺应力的峰值移动到尾迹区域, 抑制了方柱两侧的动量交换, 使动量交换的位置发生在尾迹区域, 继而使得尾迹的涡街更加规则化。

关键词: 格子Boltzmann方法, 多孔介质, 钝体绕流, 升力系数

Abstract:

Flow around a square cylinder with porous media is numerically simulated by means of the lattice Boltzmann equation in Darcy-Brinkman-Forchheimer force model, and influence of porous media on flow field characteristics of bluff body is studied. It shows that: Compared with a impermeable cylinder, the flow structure is modulated by the porous media layer under certain parameters. Evolution of the shear layer tends to be more symmetrical and stable, which reduces the interaction of vortex motions in the wake region and makes the vortex shedding more periodic, thus reducing effectively the amplitude of lift fluctuation, but increasing the drag in some extent. At the same time, we study surface porous media effect on square column under high Reynolds number. It shows that the porous medium wall makes wake region of the shear layer farther apart, reduces the wake turbulence kinetic energy, and moves the Reynolds stress peak of the mobile to wake region, suppresses the momentum exchange on either side of the square column, makes the momentum exchange occurred in wake region and the vortex street of the wake more regular.

Key words: lattice Boltzmann method, porous media, flow around bluff body, lift coefficient

林品亮, 冯欢欢, 董宇红. 具有多孔介质覆面层的柱体绕流流场分析[J]. 计算物理, 2022, 39(4): 418-426.

Pin-liang LIN, Huan-huan FENG, Yu-hong DONG. Analysis of Flow Field Around a Cylinder with Porous Media Layer[J]. Chinese Journal of Computational Physics, 2022, 39(4): 418-426.

图/表 11

图1 物理模型示意图

Fig.1 A schematic of physical model

表1 方柱绕流数值验证(Re = 100)

Table 1 Numerical verification of flow around a square column (Re = 100)

	c_lrms	C_d	St
Singh等^[22]	0.161	1.52	0.159
Present	0.159	1.51	0.158

表2 多孔方柱数值验证(Re = 200)

Table 2 Numerical verification of porous square columns (Re = 200)

h/D	ϵ	Da	C_d ^[23]	C_d(present)
0.15	0.4	0.000 1	1.79 ± 0.08	1.80
0.15	0.4	0.000 01	1.62 ± 0.06	1.66

表3 不同厚度的多孔方柱的气动参数及斯特劳哈尔数

Table 3 Aerodynamic parameters and Strauhal numbers of porous square columns with different thicknesses

h/D	C_d	C_lrms	Δ C_d	St
0	1.8	1.14	2.4	0.149 5
10%	2.13	1.139	1.8	0.164 8
15%	2.13	1.05	3.38	0.180 1
20%	2.24	0.13	0.618	0.180 1
25%	2.27	0.37	1.41	0.181 6
30%	2.26	0.7	2.26	0.143 4

图2 测点P处速度相图

Fig.2 Velocity phase diagram at measuring point P

图3 在不同厚度的多孔介质壁面工况下的测点P处v的频谱图

Fig.3 Spectrum diagram of v at measuring point P under the condition of porous media wall with different thickness

表4 不同雷诺数下多孔方柱与实心方柱的动力学参数

Table 4 Dynamic parameters of a porous square column and a solid square column at different Reynolds numbers

Re	Case	C_d	C_lrms
1 000	实心方柱	1.45	1.748
1 000	多孔方柱	2.147	0.749
3 000	实心方柱	1.47	2.66
3 000	多孔方柱	1.90	0.83

图4 不同雷诺数的瞬时涡量云图

Fig.4 Instantaneous vorticity cloud at different Reynolds numbers

图5 时均涡量云图

Fig.5 Time-averaged vorticity cloud diagrams

图6 时均湍动能云图

Fig.6 Cloud of time-averaged turbulent kinetic energy

图7 时均雷诺应力云图

Fig.7 Time-averaged Reynolds stress cloud diagrams

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