By Michael V.Kurgansky
This booklet offers with the most rules of large-scale atmospheric dynamics at the foundation of adiabatic movement constants. it may be regarded as an advent to the speculation of quasi two-dimensional fluid movement concentrating totally on approximately horizontal fluid parcel displacements in a stably stratified compressible fluid. a radical mathematical remedy of the governing equations is coupled with a transparent interpretation of the phenomena studied and observed by way of examples of actual meteorological info research. issues comprise an entire set of compressible fluid dynamic equations besides a survey on fluid dynamical conservation legislation utilized in meteorology and atmospheric physics; the derivation of two-dimensional atmospheric versions; large-scale flows; isentropic research of large-scale atmospheric procedures; and the foundations of kinetic strength sinks and their relation to the strength stability within the surroundings.
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Additional info for Adiabatic Invariant in Large-Scale Atmospheric Dynamics
Variations of atmospheric angular momentum are caused, first, by the orographic torque due to the differences between pressure pW and pE on the western and eastern mountain slopes taken at the same altitude and latitude. In particular, in the lee of meridionally oriented mountain ridges (such as Rocky Mountains and Andes) overblown by westerlies, one usually observes pressure troughs. Thus, the atmospheric wind ‘pushes’ mountains, and also the entire solid Earth, in the eastward direction. , damp the westerlies.
It would be a state of the absolute kinetic energy minimum of the ‘atmosphere— LARGE-SCALE ATMOSPHERIC DYNAMICS 45 solid Earth’ system, provided the total angular momentum of this coupled system is a prescribed constant. Differential heating of the terrestrial atmosphere by the Sun drives the atmospheric heat engine. Due to this, the angular momentum is redistributed between the atmosphere and the solid Earth and the former gains a positive relative angular momentum (due to westerlies). The concept of angular momentum can be directly incorporated into atmospheric energetics via the concept of unavailable kinetic energy.
KURGANSKY (4) where the unit vector n is orthogonal to the Earth’s surface and is oriented downward, beneath the ground. It is assumed that frictional stresses vanish at the top of the atmosphere. The second integral in the right-hand side of Equation (4) can be approximately taken at z=0 and is used in the form −∫∫Tλdσ, where Tλ is the zonal component of frictional stresses on the Earth’s surface. It is usually assumed that where the numerical coefficient cD is determined on the basis of both empirical and experimental data processing and is of the order of 10−3.
Adiabatic Invariant in Large-Scale Atmospheric Dynamics by Michael V.Kurgansky