斜压不稳定问题中的摩擦和对流凝结加热作用:线性理论
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ROLE OF FRICTION AND HEATING FROM CONVECTIVE CONDENSATION IN BAROCLINIC INSTABILITY-A LINEAR THEORY
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    摘要:

    Pedlosky,J.利用两层准地转模式,在无摩擦的β平面和有摩擦的f平面上分别讨论了纬向基本流的斜压不稳定问题。本文在此基础上作了改进,讨论β平面上具有摩擦和对流凝结加热的斜压不稳定问题。文中只给出线性部分的结果,非线性部分将另文发表。所得结果均可用临界切变(UC*)—波数(A*2)曲线表示,再由此分析线性斜压不稳定问题中β效应、摩擦和对流加热的作用和影响。分析指出,β效应不但起着增稳作用,还与摩擦和对流加热作用相结合使临界曲线发生不对称现象,即绝对值相同的正负切变其稳定性可以不同。摩擦(r)亦起着增稳作用,但是弱摩擦和β效应相结合,反而比无摩擦时β效应的稳定性要小。对流加热(m)总是起着斜压不稳定增长作用,并且当其强度m*>1时使得摩擦作用亦变成减稳.在m*<1而且上下层都有摩擦的条件下,本模式具有A*2=1*2的长波截断。而短波截断的波数随加热增强(m*→1)而无限增加。在临界曲线族上,还出现了中波截断。

    Abstract:

    Using a two-layer model, Pedlosky had studied baroclinic insta-bility of zonal flow on a frictionless β-plane and on a f-plane withfriction respectively. On the basis of his findings, baroclinic insta-bility on a β-plane with friction and with heating from convectivecondensation is investigated, yielding linear results. A nonlineartheory will be discussed in a separate paper. The curves of critica1 shear (Uc*)-wave number (A*2) are used toanalyze the linear baroclinic instability influenced by β-effect, frictionand heating from convection. It is shown that not on1y the β-effectalone could contribute to increasing stability but its combination withfriction and heating from convection can also make the curves ofcritical stability asymmetrical. This implies that the positive andnegative shears of equal absolute values may differ in stability. Fric-tion (r) may serve as a stabilizing factor, but the β-effect with aweak friction is less stable than that without friction. Heating fromconvection (m*) always increases the baroclinic instability and makesfriction a destabilizing factor when m*> 1. Under the condition ofm*< 1 and that dissipation exists in layers both above and below,the long-wave cutoff for A*2= L*2 appears in this model. And wavenumber of the short-wave cutoff increases infinitely as intensificationof heat (m*→1) continues. In addition, medium-wave cutoffs also existin the critical curves.

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余志豪,郑维忠,1985.斜压不稳定问题中的摩擦和对流凝结加热作用:线性理论[J].大气科学学报,8(2):140-151.
Yu Zhihao, Zheng weizhong,1985. ROLE OF FRICTION AND HEATING FROM CONVECTIVE CONDENSATION IN BAROCLINIC INSTABILITY-A LINEAR THEORY[J]. Trans Atmos Sci,8(2):140-151.

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  • 收稿日期:1984-12-13
  • 最后修改日期:1985-04-22
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