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Strongly nonlinear internal soliton load on a small vertical circular cylinder in two-layer fluids

机译:两层流体中小的垂直圆柱体上的强非线性内部孤子载荷

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摘要

The solutions of MCC theory are used to investigate larger-amplitude strongly nonlinear internal soliton load on a small surface-piercing circular cylinder in two-layer fluids. By comparing the wave profiles and instantaneous horizontal velocities calculated by MCC theory with those of KdV theory and experimental data, we verify the validity of MCC theory for larger-amplitude strongly nonlinear internal soliton. The accelerations are computed, and then force and torque on a small cylinder are estimated based on Morison's formula for both MCC and KdV theories. Computed results show that the internal soliton force and torque become more and more large and wide with the increase of amplitude for MCC theory. The location of torque crest calculated by MCC theory departs from origin (moving to the right) as the amplitude grows and whenever the inertial term is included or not, the wave forces computed based on the two theories both have small discrepancies for the same amplitude, but when the inertial term is included, the torque obtained by MCC theory will be much larger and the torque obtained by KdV still have a small discrepancy. The reasons are presented in detail. The internal wave force will be underestimated if the traditional KdV theory is used. Therefore, ocean engineers should consider the large-amplitude strongly nonlinear internal soliton load on marine construct carefully.
机译:MCC理论的解用于研究两层流体中小表面穿孔圆柱体上的大振幅强非线性内部孤子载荷。通过将MCC理论计算出的波廓线和瞬时水平速度与KdV理论和实验数据进行比较,我们验证了MCC理论对于大振幅强非线性内部孤子的有效性。计算加速度,然后基于MCC和KdV理论的Morison公式估算小气缸上的力和扭矩。计算结果表明,随着MCC理论振幅的增加,内部孤子力和转矩变得越来越大和越来越宽。当振幅增加时,MCC理论计算出的转矩波峰的位置会偏离原点(向右移动),无论是否包含惯性项,基于两种理论计算出的波浪力对于相同的振幅都存在较小的差异,但是当包含惯性项时,MCC理论获得的转矩将大得多,而KdV获得的转矩仍具有较小的差异。详细说明原因。如果使用传统的KdV理论,则内部波力将被低估。因此,海洋工程师应仔细考虑海洋构造物上的大振幅强非线性内部孤子载荷。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2010年第8期|p.2089-2101|共13页
  • 作者单位

    School of Mathematical Science, Inner Mongolia University, Hohhot 100080, PR China Ocean Engineering Research Center, School of Engineering, Zhongshan University, Guangzhou 510275, PR China Guangdong Province Key Laboratory of Coastal Ocean Engineering, Zhongshan University, Guangzhou 510275, PR China;

    rnSchool of Mathematical Science, Inner Mongolia University, Hohhot 100080, PR China Ocean Engineering Research Center, School of Engineering, Zhongshan University, Guangzhou 510275, PR China Guangdong Province Key Laboratory of Coastal Ocean Engineering, Zhongshan University, Guangzhou 510275, PR China;

    rnSchool of Mathematical Science, Inner Mongolia University, Hohhot 100080, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    large-amplitude internal soliton; MCC theory; KdV theory; wave forces; inertial term; torque;

    机译:大振幅内部孤子MCC理论;KdV理论;波浪力惯性项扭力;

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