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    Journals >Acta Physica Sinica >Volume 68 >Issue 22 >Page 224701-1 > Article
    • Acta Physica Sinica
    • Vol. 68, Issue 22, 224701-1 (2019)
    Numerical study of effect of pressure gradient on boundary-layer receptivity under localized wall blowing/suction
    Chang-Gen Lu*, Lu-Yu Shen, and Xiao-Qing Zhu
    DOI: 10.7498/aps.68.20190684 Cite this Article
    Chang-Gen Lu, Lu-Yu Shen, Xiao-Qing Zhu. Numerical study of effect of pressure gradient on boundary-layer receptivity under localized wall blowing/suction[J]. Acta Physica Sinica, 2019, 68(22): 224701-1 Copy Citation Text show less
    The domain of numerical simulation.数值计算区域示意图
    Fig. 1. The domain of numerical simulation.数值计算区域示意图
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    The streamwise evolutions of the excited T-S waves under the localized suction in the pressure-gradient boundary layers of (a) βH = 0.1, (b) βH = 0 and (c) βH = –0.05.在压力梯度(a) βH = 0.1, (b) βH = 0和(c) βH = –0.05情况下壁面局部吹入边界层内被激发出T-S波波包沿流向呈现增长的演化趋势
    Fig. 2. The streamwise evolutions of the excited T-S waves under the localized suction in the pressure-gradient boundary layers of (a) βH = 0.1, (b) βH = 0 and (c) βH = –0.05. 在压力梯度(a) βH = 0.1, (b) βH = 0和(c) βH = –0.05情况下壁面局部吹入边界层内被激发出T-S波波包沿流向呈现增长的演化趋势
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    The relationships between the initial amplitudes of the excited T-S waves AR and the pressure-gradients in the localized blowing and suction boundary layers: (a) Blowing intensity; (b) suction intensity局部吹入和吸出边界层内被激发出T-S波包初始幅值AR与压力梯度的关系 (a) 吹入强度; (b) 吸出强度
    Fig. 3. The relationships between the initial amplitudes of the excited T-S waves AR and the pressure-gradients in the localized blowing and suction boundary layers: (a) Blowing intensity; (b) suction intensity 局部吹入和吸出边界层内被激发出T-S波包初始幅值AR与压力梯度的关系　(a) 吹入强度; (b) 吸出强度
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    The effect of different pressure gradients on x-direction evolutions of the excited T-S waves in the localized blowing boundary layers. (a) F = 40; (b) F = 80不同压力梯度对壁面局部吹入边界层内被激发出的T-S波沿x向发展的影响 (a) F = 40; (b) F = 80
    Fig. 4. The effect of different pressure gradients on x-direction evolutions of the excited T-S waves in the localized blowing boundary layers. (a) F = 40; (b) F = 80 不同压力梯度对壁面局部吹入边界层内被激发出的T-S波沿x向发展的影响 　(a) F = 40; (b) F = 80
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    The x-direction evolutions of the amplitude of the excited T-S waves in the local blowing boundary layers (t = 2400): (a) F = 40; (b) F = 80.壁面局部吹入边界层内被激发出T-S波的幅值AT-S沿x向的演化(t = 2400) (a) F = 40; (b) F = 80
    Fig. 5. The x-direction evolutions of the amplitude of the excited T-S waves in the local blowing boundary layers (t = 2400): (a) F = 40; (b) F = 80. 壁面局部吹入边界层内被激发出T-S波的幅值AT-S沿x向的演化(t = 2400)　(a) F = 40; (b) F = 80
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    The x-direction evolutions of the growth rate (–αi) of the excited T-S waves in the local blowing boundary layers (t = 2400): (a) F = 40; (b) F = 80.壁面局部吹入边界层内被激发出T-S波的增长率(–αi)沿x向的演化(t = 2400) (a) F = 40; (b) F = 80
    Fig. 6. The x-direction evolutions of the growth rate (–αi) of the excited T-S waves in the local blowing boundary layers (t = 2400): (a) F = 40; (b) F = 80. 壁面局部吹入边界层内被激发出T-S波的增长率(–αi)沿x向的演化(t = 2400)　(a) F = 40; (b) F = 80
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    The relationships between the initial amplitudes of the excited T-S waves AR and the localized blowing/suction intensity q in different pressure boundary layers在不同压力梯度情况下壁面局部吹入和吸出边界层内被激发出T-S波波包的初始幅值AR与局部吹吸强度q之间的关系
    Fig. 7. The relationships between the initial amplitudes of the excited T-S waves AR and the localized blowing/suction intensity q in different pressure boundary layers 在不同压力梯度情况下壁面局部吹入和吸出边界层内被激发出T-S波波包的初始幅值AR与局部吹吸强度q之间的关系
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    The effects of different pressure gradients on y-direction amplitude profiles of the shape functions of the excited T-S waves in localized blowing boundary layers (x = 300).压力梯度对壁面局部吹入边界层内被激发出T-S波的特征形状函数的幅值沿y向演变的影响(x = 300)
    Fig. 8. The effects of different pressure gradients on y-direction amplitude profiles of the shape functions of the excited T-S waves in localized blowing boundary layers (x = 300). 压力梯度对壁面局部吹入边界层内被激发出T-S波的特征形状函数的幅值沿y向演变的影响(x = 300)
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    The effects of different pressure gradients on y-direction phase profiles of the shape functions of the excited T-S waves in localized blowing boundary layers (x = 300).压力梯度对壁面局部吹入边界层内被激发出T-S波的特征形状函数的相位沿y向演变的影响(x = 300)
    Fig. 9. The effects of different pressure gradients on y-direction phase profiles of the shape functions of the excited T-S waves in localized blowing boundary layers (x = 300). 压力梯度对壁面局部吹入边界层内被激发出T-S波的特征形状函数的相位沿y向演变的影响(x = 300)
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    βH0.30.10.050–0.05–0.1
    Cg(吹入) 0.3580.3480.3430.3360.3330.331
    Cg(吸出) 0.3560.3470.3410.3340.3320.329
    Table 1. The group speeds (Cg) of the excited T-S wave packets in the pressure-gradient boundary layers.
    βH–0.1–0.0500.050.1
    F = 30(吹) (0.0977, 0.3071)(0.0960, 0.3125)(0.0949, 0.3161)(0.0934, 0.3212)(0.0915, 0.3279)
    F = 30(吸) (0.0984, 0.3049)(0.0967, 0.3102)(0.0956, 0.3138)(0.0943, 0.3181)(0.0923, 0.3250)
    F = 40(吹) (0.1262, 0.3169)(0.1251, 0.3197)(0.1240, 0.3226)(0.1218, 0.3284)(0.1204, 0.3322)
    F = 40(吸) (0.1269, 0.3152)(0.1257, 0.3182)(0.1248, 0.3205)(0.1226, 0.3263)(0.1210, 0.3306)
    F = 50(吹) (0.1533, 0.3262)(0.1522, 0.3285)(0.1514, 0.3303)(0.1489, 0.3357)(0.1470, 0.3401)
    F = 50(吸) (0.1541, 0.3245)(0.1531, 0.3266)(0.1521, 0.3287)(0.1497, 0.3340)(0.1477, 0.3385)
    F = 60(吹) (0.1792, 0.3348)(0.1784, 0.3363)(0.1772, 0.3386)(0.1755, 0.3419)(0.1735, 0.3458)
    F = 60(吸) (0.1799, 0.3335)(0.1792, 0.3348)(0.1780, 0.3371)(0.1763, 0.3403)(0.1744, 0.3440)
    F = 70(吹) (0.2047, 0.3419)(0.2036, 0.3438)(0.2020, 0.3465)(0.2004, 0.3493)(0.1985, 0.3526)
    F = 70(吸) (0.2055, 0.3406)(0.2043, 0.3426)(0.2028, 0.3451)(0.2012, 0.3479)(0.1993, 0.3512)
    F = 80(吹) (0.2287, 0.3498)(0.2279, 0.3510)(0.2267, 0.3529)(0.2249, 0.3557)(0.2234, 0.3581)
    F = 80(吸) (0.2295, 0.3486)(0.2286, 0.3500)(0.2276, 0.3515)(0.2261, 0.3538)(0.2244, 0.3565)
    Table 2. The streamwise wave numbers and phase speeds (αr, C) of the excited T-S wave packets in the pressure-gradient boundary layers.
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    Chang-Gen Lu, Lu-Yu Shen, Xiao-Qing Zhu. Numerical study of effect of pressure gradient on boundary-layer receptivity under localized wall blowing/suction[J]. Acta Physica Sinica, 2019, 68(22): 224701-1
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