[讨论] 对称斜压不稳定

楼主: Lanjaja   2015-11-19 21:50:39
我想请问Holton在第九章symmetric baroclinic instability中,
讲解Fig. 9.6的一段,
Because the tubes lie on the same potential temperature surface, they have the
same available potential energy. Thus a spontaneous exchange of parcels is
possible if δ(KE), the kinetic energy of the zonal flow after exchange minus
that in the initial state, is negative. Otherwise some external source of the
energy is required to furnish the kinetic energy of the meridional and vertical
motions required for the exchange.
这里的KE应该是指Fig 9.65中的KE_1 + KE_2,1, 2代表管1和管2流体
交换后管1在原先管2的位置,管2在原先管1的位置
在没有外加能量的情况下,
过程中KE_1 + KE_2 + (E_p1 + E_I1) + (E_p2 + E_I2) = const
如果δ(KE) = (KE_1' + KE_2') - (KE_1 + KE_2) < 0
=> (E_p1 + E_I1) + (E_p2 + E_I2) < (E_p1 + E_I1)' + (E_p2 + E_I2)'
末总位能竟然大于初总位能,怎么可能会自发性交换位置? 
而且就算考虑到过程中动能有y和z分量,
大不了减少x分量的动能,
将它分给y和z动能分量以及总位能,
不就不需要外加能量的输入?
想破头都参不透这段Holton的意思
恳请强者帮忙解惑,感激不尽~~

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