论文标题
关于辐射加热的身体温度分布
On the temperature distribution of a body heated by radiation
论文作者
论文摘要
在本文中，我们研究了仅通过辐射传输热量时身体的温度分布。通过对流和传导传递的热量被忽略。我们考虑局部热力学平衡中的固定辐射转移方程。我们证明，当考虑到相互作用的辐射的发射吸收或散射时，在通用情况下，固定的辐射转移方程与非本地温度方程相结合。假定发射吸收和散射系数是一般的，并且可以取决于辐射的频率。我们还建立了系统的熵生产公式，该公式用于证明溶液的独特性，用于恒定温度的传入辐射。
In this paper, we study the temperature distribution of a body when the heat is transmitted only by radiation. The heat transmitted by convection and conduction is ignored. We consider the stationary radiative transfer equation in the local thermodynamic equilibrium. We prove that the stationary radiative transfer equation coupled with the non-local temperature equation is well-posed in a generic case when emission-absorption or scattering of interacting radiation is considered. The emission-absorption and the scattering coefficients are assumed to be general and they can depend on the frequency of radiation. We also establish an entropy production formula of the system, which is used to prove the uniqueness of solutions for an incoming radiation with constant temperature.
