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The mean energetic level. theory
Authors:Radan Huth
Institution:(1) Institute of the Atmospheric Physics, Czechosl. Acad. Sci., Prague
Abstract:Summary One of the important atmospheric levels, the mean energetic level (MEL), which in a sense reflects the energetics of the whole atmosphere, is defined. Its fundamental properties are shown. In order to describe the MEL correctly a new vertical coordinate is introduced and discussed. The new coordinate, zeta, is defined as the ratio of height and temperature. The MEL is shown to be a level with constant value of zeta. Some incorrect conclusions concerning the MEL, derived in the past, have been corrected.List of symbols used c p specific heat of air at constant pressure - c v specific heat of air at constant volume - e base of natural logarithms - E total potential energy - f Coriolis parameter - g acceleration of gravity - i specific internal energy - I internal energy - J enthalpy - k unit vector pointing upwards - p pressure - Q diabatic heating rate - R gas constant of the air - t time - T temperature - v horizontal velocity - v (3) three-dimensional velocity - w vertical velocity in thez-system - z height - gamma temperature growth rate (partT/partz) - zeta Pechala's vertical coordinate (z/T) - zeta generalized vertical velocity in the zeta-system (dzeta/dt) - pgr specific potential energy - Pgr potential energy - rhov density of the air - psgr Ruppert function - PSgr rhovT(1–gammazeta)–1 - ( ) S quantity at the sea level - ( )* quantity at the MEL
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