• Acta Physica Sinica
  • Vol. 69, Issue 3, 034701-1 (2020)
Li-Ming Lin*
DOI: 10.7498/aps.69.20191011 Cite this Article
Li-Ming Lin. Vorticity sign law in three-dimensional wake of bluff body at low Reynolds number[J]. Acta Physica Sinica, 2020, 69(3): 034701-1 Copy Citation Text show less
Schematics of a flow past a bluff body with different geometry: (a) The straight cylinder with circular cross-section; (b) the straight cylinder with square cross-section; (c) the harmonic cylinder with circular cross-section; (d) the conic cylinder with circular cross-section; (e) the wholly wavy cylinder with square cross-section.各种几何结构形式的钝体绕流示意图 (a)圆形截面的直圆柱; (b)方形截面的直方柱; (c)圆形截面的谐波柱; (d)圆形截面的圆锥柱; (e)方形截面的全弯曲方柱
Fig. 1. Schematics of a flow past a bluff body with different geometry: (a) The straight cylinder with circular cross-section; (b) the straight cylinder with square cross-section; (c) the harmonic cylinder with circular cross-section; (d) the conic cylinder with circular cross-section; (e) the wholly wavy cylinder with square cross-section.各种几何结构形式的钝体绕流示意图 (a)圆形截面的直圆柱; (b)方形截面的直方柱; (c)圆形截面的谐波柱; (d)圆形截面的圆锥柱; (e)方形截面的全弯曲方柱
At Re = 200, iso-surfaces of in the wake of a straight circular cylinder, and contours of on cylinder surfaces, where red and blue colors denote positive and negative values, respectively: (a) Iso-surfaces of ; (b) iso-surfaces of ; (c) iso-surfaces of ; (d) contours of ; (e) contours of ; (f) contours of . Note that the cylinder is denoted by the grey translucent surface in iso-surfaces and the flow is from left to right.Re = 200时直圆柱尾迹中各个涡分量等值面以及柱体表面各个涡分量等值线(其中红色和蓝色分别表示正值和负值, 注意等值面图中采用半透明灰色面来表示圆柱体, 且流动从左至右) (a) 等值面; (b) 等值面; (c) 等值面; (d) 等值线; (e) 等值线; (f) 等值线
Fig. 2. At Re = 200, iso-surfaces of in the wake of a straight circular cylinder, and contours of on cylinder surfaces, where red and blue colors denote positive and negative values, respectively: (a) Iso-surfaces of ; (b) iso-surfaces of ; (c) iso-surfaces of ; (d) contours of ; (e) contours of ; (f) contours of . Note that the cylinder is denoted by the grey translucent surface in iso-surfaces and the flow is from left to right. Re = 200时直圆柱尾迹中各个涡分量等值面以及柱体表面各个涡分量等值线(其中红色和蓝色分别表示正值和负值, 注意等值面图中采用半透明灰色面来表示圆柱体, 且流动从左至右) (a) 等值面; (b) 等值面; (c) 等值面; (d) 等值线; (e) 等值线; (f) 等值线
At Re = 300, iso-surfaces of in the wake of a straight circular cylinder, and contours of on cylinder surfaces, where red and blue colors denote positive and negative values, respectively, and green color in contours denotes or less than 0.001: (a) Iso-surfaces of ; (b) iso-surfaces of ; (c) iso-surfaces of ; (d) contours of ; (e) contours of ; (f) contours of . Note that the cylinder is denoted by the grey translucent surface in iso-surfaces and the flow is from left to right.Re = 300时直圆柱尾迹中各个涡分量等值面以及柱体表面各个涡分量等值线(其中红色和蓝色分别表示正值和负值, 以及等值线图中的绿色则表示或小于0.001; 注意, 等值面图中采用半透明灰色面来表示圆柱体, 且流动从左至右) (a) 等值面; (b) 等值面; (c) 等值面; (d) 等值线; (e) 等值线; (f) 等值线
Fig. 3. At Re = 300, iso-surfaces of in the wake of a straight circular cylinder, and contours of on cylinder surfaces, where red and blue colors denote positive and negative values, respectively, and green color in contours denotes or less than 0.001: (a) Iso-surfaces of ; (b) iso-surfaces of ; (c) iso-surfaces of ; (d) contours of ; (e) contours of ; (f) contours of . Note that the cylinder is denoted by the grey translucent surface in iso-surfaces and the flow is from left to right. Re = 300时直圆柱尾迹中各个涡分量等值面以及柱体表面各个涡分量等值线(其中红色和蓝色分别表示正值和负值, 以及等值线图中的绿色则表示 或 小于0.001; 注意, 等值面图中采用半透明灰色面来表示圆柱体, 且流动从左至右) (a) 等值面; (b) 等值面; (c) 等值面; (d) 等值线; (e) 等值线; (f) 等值线
In the wake of a square cylinder at Re = 180: (a) Iso-surfaces of (yellow/green) and (red/blue), where the background is colorful contours of at ; (b) colorful contours of at ; (c) colorful contours of at . In Fig. 4, red and blue colors, as well as solid and dashed lines in contours of , denote positive and negative values, respectively.Re = 180时直方柱尾迹中 (a) (黄/绿)和(红/蓝)等值面图, 其中背景为处的等值线色图; (b) 处的等值线色图; (c) 处的等值线色图; 图中红色和蓝色, 以及等值线的实线和虚线分别表示正值和负值
Fig. 4. In the wake of a square cylinder at Re = 180: (a) Iso-surfaces of (yellow/green) and (red/blue), where the background is colorful contours of at ; (b) colorful contours of at ; (c) colorful contours of at . In Fig. 4, red and blue colors, as well as solid and dashed lines in contours of , denote positive and negative values, respectively. Re = 180时直方柱尾迹中 (a) (黄/绿)和 (红/蓝)等值面图, 其中背景为 处的 等值线色图; (b) 处 的等值线色图; (c) 处 的等值线色图; 图中红色和蓝色, 以及 等值线的实线和虚线分别表示正值和负值
In the wake of a square cylinder at Re = 250: (a) Iso-surfaces of (yellow/green) and (red/blue), where the background is colorful contours of at ; (b) colorful contours of at ; (c) colorful contours of at . In Fig. 5, red and blue colors, as well as solid and dashed lines in contours of , denote positive and negative values, respectively.Re = 250时直方柱尾迹中 (a) (黄/绿)和(红/蓝)等值面图, 其中背景为处的等值线色图; (b) 处的等值线色图; (c) 处的等值线色图, 其中红色和蓝色, 以及等值线的实线和虚线分别表示正值和负值
Fig. 5. In the wake of a square cylinder at Re = 250: (a) Iso-surfaces of (yellow/green) and (red/blue), where the background is colorful contours of at ; (b) colorful contours of at ; (c) colorful contours of at . In Fig. 5, red and blue colors, as well as solid and dashed lines in contours of , denote positive and negative values, respectively. Re = 250时直方柱尾迹中 (a) (黄/绿)和 (红/蓝)等值面图, 其中背景为 处的 等值线色图; (b) 处 的等值线色图; (c) 处 的等值线色图, 其中红色和蓝色, 以及 等值线的实线和虚线分别表示正值和负值
At Re = 100, and , iso-surfaces of three components of vorticity in the wake of a harmonic cylinder: (a) ; (b) ; (c) . In Fig. 6, red and blue colors denote positive and negative values, respectively, and the background is the colorful contour of at .Re = 100, 且时谐波柱尾迹中3个涡分量等值面图(其中红色和蓝色分别为正值和负值, 背景为处的等值线色图) (a) ; (b) ; (c)
Fig. 6. At Re = 100, and , iso-surfaces of three components of vorticity in the wake of a harmonic cylinder: (a) ; (b) ; (c) . In Fig. 6, red and blue colors denote positive and negative values, respectively, and the background is the colorful contour of at . Re = 100, 且 时谐波柱尾迹中3个涡分量等值面图(其中红色和蓝色分别为正值和负值, 背景为 处 的等值线色图) (a) ; (b) ; (c)
At Re = 100, and , iso-surfaces of three components of vorticity in the wake of a harmonic cylinder: (a) ; (b) ; (c) . In Fig. 7, red and blue colors denote positive and negative values, respectively, and the background is the colorful contour of at .Re = 100, 且时谐波柱尾迹中3个涡分量等值面图(其中红色和蓝色分别为正值和负值, 背景为处的等值线色图) (a) ; (b) ; (c)
Fig. 7. At Re = 100, and , iso-surfaces of three components of vorticity in the wake of a harmonic cylinder: (a) ; (b) ; (c) . In Fig. 7, red and blue colors denote positive and negative values, respectively, and the background is the colorful contour of at . Re = 100, 且 时谐波柱尾迹中3个涡分量等值面图(其中红色和蓝色分别为正值和负值, 背景为 处 的等值线色图) (a) ; (b) ; (c)
At Re = 100, and , iso-surfaces of three components of vorticity in the wake of a conic cylinder: (a) ; (b) ; (c) . In Fig. 8, red and blue colors denote positive and negative values, respectively, and the background is the colorful contour of at .Re = 100, 且时圆锥柱尾迹中三个涡分量等值面图(其中红色和蓝色分别为正值和负值, 背景为处的等值线色图) (a) ; (b) ; (c)
Fig. 8. At Re = 100, and , iso-surfaces of three components of vorticity in the wake of a conic cylinder: (a) ; (b) ; (c) . In Fig. 8, red and blue colors denote positive and negative values, respectively, and the background is the colorful contour of at . Re = 100, 且 时圆锥柱尾迹中三个涡分量等值面图(其中红色和蓝色分别为正值和负值, 背景为 处 的等值线色图) (a) ; (b) ; (c)
At Re = 100, and , iso-surfaces of three components of vorticity in the wake of a conic cylinder: (a) ; (b) ; (c) . In Fig. 9, red and blue colors denote positive and negative values, respectively, and the background is the colorful contour of at .Re = 100, 且时圆锥柱尾迹中3个涡分量等值面图(其中红色和蓝色分别为正值和负值, 背景为处的等值线色图) (a) ; (b) ; (c)
Fig. 9. At Re = 100, and , iso-surfaces of three components of vorticity in the wake of a conic cylinder: (a) ; (b) ; (c) . In Fig. 9, red and blue colors denote positive and negative values, respectively, and the background is the colorful contour of at . Re = 100, 且 时圆锥柱尾迹中3个涡分量等值面图(其中红色和蓝色分别为正值和负值, 背景为 处 的等值线色图) (a) ; (b) ; (c)
Typical distributions of surface vorticity on the wholly wavy cylinder with a square cross-section (Re = 100, and ): (a) ; (b) ; (c) .典型的全弯曲方柱迎风面表面涡量分布(Re = 100, 和) (a) ; (b) ; (c)
Fig. 10. Typical distributions of surface vorticity on the wholly wavy cylinder with a square cross-section (Re = 100, and ): (a) ; (b) ; (c) . 典型的全弯曲方柱迎风面表面涡量分布(Re = 100, 和 ) (a) ; (b) ; (c)
At Re = 100, and , iso-surfaces of in the wake of the wholly wavy cylinder with a square corss-section: (a) (red/blue); (b) (yellow/green) and (red/blue).Re = 100, 和时全弯曲方柱尾迹中涡量等值面分布 (a) (红/蓝); (b) (黄/绿)和(红/蓝)
Fig. 11. At Re = 100, and , iso-surfaces of in the wake of the wholly wavy cylinder with a square corss-section: (a) (red/blue); (b) (yellow/green) and (red/blue). Re = 100, 和 时全弯曲方柱尾迹中涡量等值面分布 (a) (红/蓝); (b) (黄/绿)和 (红/蓝)
At Re = 100, and , iso-surfaces of in the wake of the wholly wavy cylinder with a square corss-section: (a) (red/blue) and (yellow/green); (b) (yellow/green) and (red/blue).Re = 100, 和时全弯曲方柱尾迹中涡量等值面分布 (a) (红/蓝)和(黄/绿); (b) (黄/绿)和(红/蓝)
Fig. 12. At Re = 100, and , iso-surfaces of in the wake of the wholly wavy cylinder with a square corss-section: (a) (red/blue) and (yellow/green); (b) (yellow/green) and (red/blue). Re = 100, 和 时全弯曲方柱尾迹中涡量等值面分布 (a) (红/蓝)和 (黄/绿); (b) (黄/绿)和 (红/蓝)
钝体结构类型计算域尺度近壁网格尺度
入口出口两侧垂向
圆形截面的直圆柱2030400.001
方形截面的直方柱918180.008
圆形截面的谐波柱1030200.005
圆形截面的圆锥柱1030200.005
方形截面的全弯曲方柱918180.008
Table 1.

Summary of computational domain and the nearest-wall grid used in a flow past a bluff body with different geometry.

不同几何结构的钝体绕流所采用的计算域及近壁网格尺度汇总

Li-Ming Lin. Vorticity sign law in three-dimensional wake of bluff body at low Reynolds number[J]. Acta Physica Sinica, 2020, 69(3): 034701-1
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