Radiative entropy production—lost heat into entropy

Radiative entropy production-cost heat into entropy

Heat flow SQ of the First Law of Thermodynamics is expressed in terms of the entropy flow &Q/T) SQ = SIT(QIT)I = ~~(Q/~+(Q~~d~ where T&Q/T) denotes the energy equivalent of the entropy flow, and (Q/T)dT introduces the concept of lost heat into entropy production. Here Q = QK f Q R where superscripts K and R indicate conduction and radiation, respectively. In terms of the lost heat, dimensionles...

Partial moment entropy approximation to radiative heat transfer

We extend the half moment entropy closure for the radiative heat transfer equations presented in [J. Comput. Phys. 180 (2002) 584] and [J. Comput. Phys. 198 (2004) 363] to multi-D. To that end we consider a partial moment system with general partitions of the unit sphere closed by an entropy minimization principle. We give physical and mathematical reasons for this choice of model and study its...

Heat Transfer and Entropy

Entropy operator for continuous dynamical systems of finite topological entropy

In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

Minimum entropy production closure of the photo-hydrodynamic equations for radiative heat transfer

In the framework of a two-moment photo-hydrodynamic modelling of radiation transport, we introduce a concept for the determination of effective radiation transport coefficients based on the minimization of the local entropy production rate of radiation and matter. The method provides the nonequilibrium photon distribution from which the effective absorption coefficients and the variable Eddingt...