半透明介质的相变传热必须考虑介质内红外热辐射传输的影响.研究了二维矩形吸收、发射、各向同性散射性半透明介质的凝固过程.假设凝固发生在某一温度区间, 因此须考虑液、糊、固三个区域.采用有限体积法求解基于焓的能量方程, 蒙特卡洛法求解红外热辐射传输.一维相变导热、二维瞬态红外热辐射与导热耦合换热的结果与文献进行了比较, 吻合较好.分析了衰减系数、折射率、导热—辐射参数、潜热等参数对温度、液相率分布的影响.研究表明一些热光学特性参数对半透明介质的凝固过程有显著影响.

The infrared radiation transfer should be considered together with other heat transfer process in the phase change of the semitransparent medium. Solidification heat transfer via absorbing, emitting and isotropically scattering in 2-D rectangular semitransparent medium were analyzed. Solidification was assumed to occur over a range of temperatures, and liquid-, mushy- and solid-zones were considered. The enthalpy-based energy equation was solved by the finite volume method. The infrared radiation transfer was solved by the Monte-Carlo method. The results of 1-D phase change heat conduction and 2-D transient coupled infrared radiation and conduction were in good agreements with published data. Effects of various parameters, such as extinction coefficient, refractive index, conduction-radiation parameter and latent heat, et al., on temperature and liquid fraction distributions in the medium were studied. Some of these thermal optical property parameters were found to have significant effects on the results.