Note on wind drift in a channel in the presence of tidal currents

Note on wind drift in a channel in the presence of tidal currents
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潮汐存在时河道中风漂移的注意事项

DOI:
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发表时间:
1953
期刊:
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences
影响因子:
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通讯作者:
K. F. Bowden
K. F. Bowden
中科院分区:
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文献类型:
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作者:
K. F. Bowden

文献摘要

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在诸如不列颠群岛周围的沃茨中,风流表现为叠加在潮流上的扰动。在处理这个问题时,假定漂移速度与潮流的振幅相比是小的。在这种情况下,如果底部摩擦的瞬时值与瞬时速度的平方成比例,则在潮汐周期上平均的摩擦的非周期分量与漂移速度成线性比例。假定水是均匀的,并且在靠近底部的表面摩擦层之上,涡动粘度随深度是恒定的。在稳定状态下,由于给定的风应力的漂移流减少在潮流的存在。稳态的解决方案,涉及海拔的表面以及电流,给出了均匀的宽度和深度的通道,一致收敛的通道和非均匀通道。根据目前可获得的风应力、涡动粘性和底摩擦力的最概然估计,给出了几种特殊情况下的数值计算。讨论了它们在英吉利海峡的漂流流和表面梯度的应用,建议在不久的将来进行一项观测方案。
In waters such as those surrounding the British Isles, wind currents appear as perturbations superimposed on the tidal currents. In treating this problem, it is assumed that the drift velocity is small compared with the amplitude of the tidal current. In this case, if the instantaneous value of the bottom friction is proportional to the square of the instantaneous velocity, the non-periodic component of friction, averaged over a tidal period, is linearly proportional to the drift velocity. It is assumed that the water is homogeneous and that, above a skin-friction layer close to the bottom, the eddy viscosity is constant with depth. In the steady state, the drift current due to a given wind stress is reduced in the presence of tidal currents. Steady-state solutions, involving the elevation of the surface as well as the currents, are given for a channel of uniform width and depth, a uniformly convergent channel and a non-uniform channel. Numerical calculations, based on the most probable estimates of wind stress, eddy viscosity and bottom friction available at present, are given for several particular cases. A discussion is given of their application to drift currents and surface gradients in the English Channel, a region in which it is proposed to carry out a programme of observations in the near future.