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Generalized Dynamic Equations Related to Condensation and Freezing Processes
Author(s) -
Wang Xingrong,
Huang Yong
Publication year - 2018
Publication title -
journal of geophysical research: atmospheres
Language(s) - English
Resource type - Journals
eISSN - 2169-8996
pISSN - 2169-897X
DOI - 10.1002/2017jd027584
Subject(s) - adiabatic process , condensation , function (biology) , statistical physics , mechanism (biology) , dynamic equation , thermodynamics , vorticity , mathematics , physics , classical mechanics , mechanics , quantum mechanics , vortex , nonlinear system , evolutionary biology , biology
The generalized thermodynamic equation related to condensation and freezing processes was derived by introducing the condensation and freezing probability function into the dynamic framework based on the statistical thermodynamic fluctuation theory. As a result, the physical mechanism of some weather phenomena covered by using δ (0,1) can in turn be studied and uncovered. From the generalized dynamic equations, the tendency equation of the generalized potential vorticity (GPV) is derived. From the discussion of tendency equation of GPV, in some very thin transitional areas, GPV is found nonconserved because of the introduction of the condensation and freezing probability function, even in frictionless and moist adiabatic air motion.