Geophysical Fluid Dynamics. By Joseph Pedlosky. Springer, 1979. 624 pp. DM 79.50.
Geophysical Fluid Dynamics. By Joseph Pedlosky. Springer, 1979. 624 pp. DM 79.50.
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DOI：
10.1017/s0022112081210852
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发表时间：
1981-09
影响因子：
3.7
通讯作者：
P. Drazin
中科院分区：
文献类型：
--
作者：
P. Drazin
把速度画成r的函数。求出并画出在没有科里奥利效应（Ω=0）（B）和科里奥利效应（0 Ω Ω）的情况下平衡速度（a）的压力场。讨论径向的动量平衡，说明它如何依赖于罗斯比数，这里可以定义为Ro = U 0/2Ωa。你需要在极坐标中写出动量方程（或者参见Batchelor的文章或其他），去掉随时间变化的项（/t.）和摩擦项。考虑气旋和反气旋涡旋（分别为U 0正值和负值）。描述“气旋”和低压之间的对应关系;“反气旋”和高压之间的对应关系如何取决于Ro。设u为径向速度，v为方位角速度;径向动量（r方向，v速度）平衡为
Sketch the velocity as a function of r. Solve for and plot the pressure field that balances this velocity (a) without Coriolis effects (Ω=0) (b) with Coriolis effects ( 0 Ω ≠ ) Discuss the momentum balance in the radial direction, showing how it depends on the Rossby number, which here can be defined as Ro = U0/2Ωa . You will need to write the momentum equation in polar coordinates (or see Batchelor’s text or others), dropping the time-varying terms (∂/∂t...) and frictional terms. Consider both cyclonic and anticyclonic vortices (U0 postive and negative, respectively). Describe how the correspondence between ‘cyclonic’ and low pressure; ‘anticyclonic’ and high pressure depends on Ro. Let u be radial velocity and v azimuthal velocity; radial momentum (r direction, v velocity) balance is