Numerical Simulation of Shock Bubble Interaction with Different Mach Numbers
The interaction of a shock wave with a spherical helium bubble is investigated numerically by using the high- resolution piecewise parabolic method (PPM), in which the viscous and turbulence effects are both considered. The bubble is of the same size and is accelerated by a planar shock of different...
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| Published in | Chinese physics letters Vol. 32; no. 3; pp. 66 - 69 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.03.2015
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0256-307X 1741-3540 |
| DOI | 10.1088/0256-307X/32/3/034701 |
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| Abstract | The interaction of a shock wave with a spherical helium bubble is investigated numerically by using the high- resolution piecewise parabolic method (PPM), in which the viscous and turbulence effects are both considered. The bubble is of the same size and is accelerated by a planar shock of different Mach numbers (Ma). The re- suits of low Ma cases agree quantitatively with those of experiments [G. Layes, O. Le M4tayer. Phys. Fluids 19 (2007) 042105]. With the increase of Ma, the final geometry of the bubble becomes quite different, the com- pression ratio is highly raised, and the time-dependent mean bubble velocity is also influenced. The compression ratios measured can be well normalized when Ma is low, while less agreement has been achieved for high Ma cases. In addition, the mixedness between two fluids is enhanced greatly as Ma increases. Some existed scaling laws of these quantities for the shock wave strength cannot be directly applied to high Ma cases. |
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| AbstractList | The interaction of a shock wave with a spherical helium bubble is investigated numerically by using the high- resolution piecewise parabolic method (PPM), in which the viscous and turbulence effects are both considered. The bubble is of the same size and is accelerated by a planar shock of different Mach numbers (Ma). The re- suits of low Ma cases agree quantitatively with those of experiments [G. Layes, O. Le M4tayer. Phys. Fluids 19 (2007) 042105]. With the increase of Ma, the final geometry of the bubble becomes quite different, the com- pression ratio is highly raised, and the time-dependent mean bubble velocity is also influenced. The compression ratios measured can be well normalized when Ma is low, while less agreement has been achieved for high Ma cases. In addition, the mixedness between two fluids is enhanced greatly as Ma increases. Some existed scaling laws of these quantities for the shock wave strength cannot be directly applied to high Ma cases. The interaction of a shock wave with a spherical helium bubble is investigated numerically by using the high-resolution piecewise parabolic method (PPM), in which the viscous and turbulence effects are both considered. The bubble is of the same size and is accelerated by a planar shock of different Mach numbers (Ma). The results of low Ma cases agree quantitatively with those of experiments [G. Layes, O. Le Metayer, Phys. Fluids 19 (2007) 042105]. With the increase of Ma, the final geometry of the bubble becomes quite different, the compression ratio is highly raised, and the time-dependent mean bubble velocity is also influenced. The compression ratios measured can be well normalized when Ma is low, while less agreement has been achieved for high Ma cases. In addition, the mixedness between two fluids is enhanced greatly as Ma increases. Some existed scaling laws of these quantities for the shock wave strength cannot be directly applied to high Ma cases. |
| Author | 杨洁 万振华 王伯福 孙德军 |
| AuthorAffiliation | Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027 School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072 |
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| CitedBy_id | crossref_primary_10_1007_s00193_019_00928_w crossref_primary_10_1007_s10409_022_09011_9 crossref_primary_10_1016_j_ijheatfluidflow_2023_109156 crossref_primary_10_1016_j_compfluid_2018_10_009 |
| Cites_doi | 10.1103/PhysRevE.81.056302 10.1017/S002211200300630X 10.1017/S0022112088000904 10.1007/PL00004076 10.1002/fld.3739 10.1146/annurev.fluid.34.090101.162238 10.1017/S0022112096007069 10.1063/1.2185685 10.1017/S0022112060001419 10.1063/1.2720597 10.1017/S0022112007008749 10.1017/S0022112087002003 10.1146/annurev-fluid-122109-160744 |
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| Notes | The interaction of a shock wave with a spherical helium bubble is investigated numerically by using the high- resolution piecewise parabolic method (PPM), in which the viscous and turbulence effects are both considered. The bubble is of the same size and is accelerated by a planar shock of different Mach numbers (Ma). The re- suits of low Ma cases agree quantitatively with those of experiments [G. Layes, O. Le M4tayer. Phys. Fluids 19 (2007) 042105]. With the increase of Ma, the final geometry of the bubble becomes quite different, the com- pression ratio is highly raised, and the time-dependent mean bubble velocity is also influenced. The compression ratios measured can be well normalized when Ma is low, while less agreement has been achieved for high Ma cases. In addition, the mixedness between two fluids is enhanced greatly as Ma increases. Some existed scaling laws of these quantities for the shock wave strength cannot be directly applied to high Ma cases. 11-1959/O4 YANG Jie, WAN Zhen-Hua, WANG Bo-Fu, SUN De-Jun(1.Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027;2.School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072) ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| Snippet | The interaction of a shock wave with a spherical helium bubble is investigated numerically by using the high- resolution piecewise parabolic method (PPM), in... The interaction of a shock wave with a spherical helium bubble is investigated numerically by using the high-resolution piecewise parabolic method (PPM), in... |
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| SubjectTerms | Bubbles Computational fluid dynamics Fluids Mach number Mathematical models Shock waves Turbulence Turbulent flow 抛物线法 数值模拟 数值研究 气泡速度 相互作用 防震 马赫数 高分辨率 |
| Title | Numerical Simulation of Shock Bubble Interaction with Different Mach Numbers |
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