Abstract On the β plane approximation, the two-layer quasigeostrophic mode is used to study the baroclinic instability of the quadric shear basic zonal flows on a uniform bottom topography. The phase speed and growth rate of instability waves are functions of the shear zonal basic flows and bottom topographic slope. The study focus is on the effects of topography and the quadric shear basic zonal flows (the second derivative of basic zonal flows is not zero). The meridional slope destabilise (stabilise) zonal flows, it plays an unstable role in disturbance, moreover the effect of the second derivative of basic zonal flows is to accelerate the instability of disturbance. The zonal slope always destabilises the zonal basic flows through zonal and meridional wavenumber. Moreover, the effect of the second derivative of basic zonal flows is to accelerate the instability of disturbance.

中文翻译：

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二次剪切基本纬向流和地形对斜压不稳定的影响

摘要 在β平面近似上，利用两层准地转模式研究了均匀底部地形上二次剪切基本纬向流的斜压不稳定性。不稳定波的相位速度和增长率是剪切带状基本流和底部地形坡度的函数。研究重点是地形和二次剪切基本纬向流（基本纬向流的二阶导数不为零）的影响。经向坡度使纬向流不稳定（稳定），它在扰动中起不稳定作用，而且基本纬向流的二阶导数的作用是加速扰动的不稳定性。纬向坡度总是通过纬向和经向波数破坏纬向基本流的稳定性。而且，