A Thermodynamic Theory for Heat Radiation Through the Atmosphere

Abstract

Basing on the conclusions of a previous work [1], a simple thermodynamic model is established for radiating heat transfer through the air. The model is applied to the temperature distribution of the atmosphere and the radiating heat loss of the Earth.

Entropy Production In Thermodynamic Climate Models

“…We have used this fluxes as independent variables, developing a generalized Gibbs equation following the Extended Irreversible Thermodynamics (EIT) theory [24] that has been successfully applied in many systems. We have taken into account a Maxwell-Cattaneo type equation for the phenomenological laws of the heat and the radiative fluxes, that in the later case can be related to the radiative transfer equation [33,[36][37]. A generalized expression for the rate of entropy production outside equilibrium has been obtained with the addition of a new term related with the radiative part.…”

“…Going back to (10) and following Ciancio and Verh s [36][37], we obtain for a very anisotropic radiation field with c being the velocity of light, σ Α the absorption coefficient and U R the internal radiative energy per unit volume of the atmosphere, that can be expressed as…”

Extended thermodynamics of heat transport and energy equilibration in radiative systems

“…u = u m + u r (1) where u m is the internal energy of matter per unit mass, and u r the radiation energy, also per unit mass of matter. In local equilibrium, the temperature T of the system was defined thermodynamically as (see equation (11) in [1]…”

On the Representation of Dynamic Degrees of Freedom

“…The method of dynamic variables has been applied with success to various phenomena, among others dielectric polarization and electric conduction [1-5, 36, 40], heat conduction [6][7][8][9][10][11][12][13][14][15][16][17][18][19][34][35][36][37][38][39] and diffusion [20], viscoelastic and inelastic defomation [21][22][23][24][25][26][27][28][29][30][31][32] etc. One of the main advantages of the method is that it can give an account of the influence on microscopic structures (orientation or deformation of micro-particles, changes in the velocity distribution, etc.)…”