High-order models with a dissipative term for nonlinear and dispersive wave in water of varying depth with an arbitrary sloping bottom are presented in this article. First, the formal derivations to any high order of ...High-order models with a dissipative term for nonlinear and dispersive wave in water of varying depth with an arbitrary sloping bottom are presented in this article. First, the formal derivations to any high order of mu(= h/lambda, depth to deep-water wave length ratio) and epsilon(= a/h, wave amplitude to depth ratio) for velocity potential, particle velocity vector, pressure and the Boussinesq-type equations for surface elevation eta and horizontal velocity vector (U) over right arrow at any given level in water are given. Then, the exact explicit expressions to the fourth order of mu are derived. Finally, the linear solutions of eta, (U) over right arrow, C (phase-celerity) and C-g (group velocity) for a constant water depth are obtained. Compared with the Airy theory, excellent results can be found even for a water depth as large as the wave legnth. The present high-order models are applicable to nonlinear regular and irregular waves in water of any varying depth (from shallow to deep) and bottom slope (from mild to steep).展开更多
应用能量色散X射线荧光光谱法对铂首饰镍含量(范围0.2%~10%)进行无损检测,利用沈阳冶炼厂制作的国家标准物质、Johnson Mattey Public Limited Company的标样以及我们自行研制的工作标样建立工作曲线,采用Lucas-Tooth和Price强度修...应用能量色散X射线荧光光谱法对铂首饰镍含量(范围0.2%~10%)进行无损检测,利用沈阳冶炼厂制作的国家标准物质、Johnson Mattey Public Limited Company的标样以及我们自行研制的工作标样建立工作曲线,采用Lucas-Tooth和Price强度修正模式,有效消除可能的元素干扰,降低背景干扰提高方法分析精度。对样品的检测结果与其它方法结果比较,证明方法可行。展开更多
文摘High-order models with a dissipative term for nonlinear and dispersive wave in water of varying depth with an arbitrary sloping bottom are presented in this article. First, the formal derivations to any high order of mu(= h/lambda, depth to deep-water wave length ratio) and epsilon(= a/h, wave amplitude to depth ratio) for velocity potential, particle velocity vector, pressure and the Boussinesq-type equations for surface elevation eta and horizontal velocity vector (U) over right arrow at any given level in water are given. Then, the exact explicit expressions to the fourth order of mu are derived. Finally, the linear solutions of eta, (U) over right arrow, C (phase-celerity) and C-g (group velocity) for a constant water depth are obtained. Compared with the Airy theory, excellent results can be found even for a water depth as large as the wave legnth. The present high-order models are applicable to nonlinear regular and irregular waves in water of any varying depth (from shallow to deep) and bottom slope (from mild to steep).
文摘应用能量色散X射线荧光光谱法对铂首饰镍含量(范围0.2%~10%)进行无损检测,利用沈阳冶炼厂制作的国家标准物质、Johnson Mattey Public Limited Company的标样以及我们自行研制的工作标样建立工作曲线,采用Lucas-Tooth和Price强度修正模式,有效消除可能的元素干扰,降低背景干扰提高方法分析精度。对样品的检测结果与其它方法结果比较,证明方法可行。