A theory of turbulence in planetary atmospheres: numerical modeling of constitutive parameters.

Statistics – Computation

Scientific paper

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Planetary Atmospheres: Turbulence

Scientific paper

The semiempirical theories of turbulence in the upper planetary atmosphere, which take into account the multicomponency and compressibility of media, heat and mass transfer, and chemical reactions require further development. In this study, attention is focused on the turbulent flows of N-component mixtures of chemically active gases in a gravity field. A closed system of averaged hydrodynamic equations and model transfer equations for one-point second moments of fluctuating constitutive parameters is obtained using continua mechanics. For averaging, a source terms procedure of mass production in chemical reactions is presented. In a form suitable for applications in aeronomy, determining relations for turbulent diffusion and heat fluxes and for Reynolds stress tensor are derived. Known results for a homogeneous turbulent continuum are generalized for multicomponent media. For a stratified atmosphere, analytical formulas for turbulent transfer coefficients (tensors) involved in the governing equations are obtained. As a demonstration of the method developed, the results of computation of turbulent viscosity and temperature conductivity coefficients for Earth's turbosphere are presented.

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