Radiative temperature dissipation in a finite atmosphere. I - The homogeneous case

Details Radiative temperature dissipation in a finite atmosphere. I - The homogeneous case Radiative temperature dissipation in a finite atmosphere. I - The homogeneous case

Apr 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981jqsrt..25..351g&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 25, Apr. 1981, p. 351-380. NSF-supported research.

Mathematics

6

Atmospheric Temperature, Earth Atmosphere, Equations Of Motion, Radiative Transfer, Boundary Value Problems, Eigenvalues, Homogeneity, Integral Equations, Linear Equations, Perturbation Theory

Scientific paper

A new approach toward solving problems of linear radiative relaxation of LTE temperature perturbations in a plane-parallel atmosphere of finite extent has been developed. It is shown that the mathematical problem is one of solving an integral eigenvalue equation, for which nontrivial solutions exist only for discrete values of the radiative relaxation time. The solutions for the spatial part of the perturbation constitute a complete and orthogonal set of basis functions, making it possible to solve more general problems of temperature relaxation. In applying this method to radiative relaxation in the middle atmosphere of earth, it is shown how the additional influences of photochemical coupling, advection by winds, and eddy diffusion by small-scale turbulence may be easily included using matrix perturbation techniques. The homogeneous integral equation has been solved using an exponential-kernel method for solving the integral equation.

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