| Oseen流动中粘性对自由表面波的影响 |
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| 引用本文： | 卢东强.Oseen流动中粘性对自由表面波的影响[J].上海大学学报(英文版),2004,8(1):8-12. |
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| 作者姓名： | 卢东强 |
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| 作者单位： | ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,P.R.China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina (GrantNo .1990 2 0 10 )andtheShanghaiKeySubjectProgram |
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| 摘 要： | Based on the complex dispersion relation for the two-dimensional free-surface waves generated by a moving body in the steady Oseen flows, the effect of viscosity on wavelength and wave amplitude was investigated by means of an asymptotic method and a numerical analysis. A comparison between the asymptotic and numerical analysis for the viscous decay factor demonstrates the validity of the perturbation expansions for the wave profile. The numerical result shows that the wavelength of viscous wave is slightly elongated in comparison with that of inviscid wave.
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| 关 键 词： | 粘性 自由液面波 Oseen流 数值分析 |
| 收稿时间： | 14 May 2003 |
Effect of viscosity on free-surface waves in oseen flows |
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| Lu Dong-qiang.Effect of viscosity on free-surface waves in oseen flows[J].Journal of Shanghai University(English Edition),2004,8(1):8-12. |
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| Authors: | Lu Dong-qiang |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R. China |
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| Abstract: | Based on the complex dispersion relation for the two-dimensional free-surface waves generated by a moving body in the steady Oseen flows, the effect of viscosity on wavelength and wave amplitude was investigated by means of an asymptotic method and a numerical analysis. A comparison between the asymptotic and numerical analysis for the viscous decay factor demonstrates the validity of the perturbation expansions for the wave profile. The numerical result shows that the wavelength of viscous wave is slightly elongated in comparison with that of inviscid wave. |
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| Keywords: | free-surface wave Oseen flow viscosity complex dispersion relation |
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