This paper studies the radiative heat transfer within an inhomogeneous and isot- ropically scattering medium with reflecting Fresnel's surfaces. Thermal radiation transfers in a curve inside a medium with an inhom...This paper studies the radiative heat transfer within an inhomogeneous and isot- ropically scattering medium with reflecting Fresnel's surfaces. Thermal radiation transfers in a curve inside a medium with an inhomogeneous distribution of a re- fractive index. The inhomogenous medium is divided into n homogenous isother- mal sub-layers and in each sub-layer the radiation transfers in a straight line. By adopting a multilayer radiative transfer model and using a ray-tracing/nodal- ana- lyzing method, a radiative transfer model is built for the inhomogenous participat- ing medium. In the multilayer model, a criterion for refraction / total reflection at the interfaces between neighboring sub-layers is introduced, avoiding the integral singularity and reflection at physically inexistent interfaces (only the total reflection is considered). Transient thermal behavior is examined when the parameters of the radiative properties such as refractive indexes, extinction coefficients, and sin- gle-scattering albedoes vary continually along the thickness direction.展开更多
该研究的目的是将能量辐射传递法(radiative energy transfer method,RETM)推广到三明治耦合板模型中。推导了三明治板的振动控制方程,获得结构的波传播特性参数。基于波法推导了三明治耦合板的能量传递系数。根据能量密度控制方程,得...该研究的目的是将能量辐射传递法(radiative energy transfer method,RETM)推广到三明治耦合板模型中。推导了三明治板的振动控制方程,获得结构的波传播特性参数。基于波法推导了三明治耦合板的能量传递系数。根据能量密度控制方程,得到能量密度和功率流强度的核函数。根据惠更斯原理,结构内部的能量可由实源辐射的直接场能量与边界虚源的反射场能量叠加得到。求解第二类Fredholm积分方程获得边界虚源的强度。数值算例结果与模态叠加和功率流分析(power flow analysis,PFA)对比,验证了所建模型的正确性和准确性。对L型耦合三明治板求解,获得其能量密度和功率流分布特征。展开更多
基金Supported by the Major Program of International Cooperation of National Natural Science Foundation of China (No. 50620120442)
文摘This paper studies the radiative heat transfer within an inhomogeneous and isot- ropically scattering medium with reflecting Fresnel's surfaces. Thermal radiation transfers in a curve inside a medium with an inhomogeneous distribution of a re- fractive index. The inhomogenous medium is divided into n homogenous isother- mal sub-layers and in each sub-layer the radiation transfers in a straight line. By adopting a multilayer radiative transfer model and using a ray-tracing/nodal- ana- lyzing method, a radiative transfer model is built for the inhomogenous participat- ing medium. In the multilayer model, a criterion for refraction / total reflection at the interfaces between neighboring sub-layers is introduced, avoiding the integral singularity and reflection at physically inexistent interfaces (only the total reflection is considered). Transient thermal behavior is examined when the parameters of the radiative properties such as refractive indexes, extinction coefficients, and sin- gle-scattering albedoes vary continually along the thickness direction.
文摘该研究的目的是将能量辐射传递法(radiative energy transfer method,RETM)推广到三明治耦合板模型中。推导了三明治板的振动控制方程,获得结构的波传播特性参数。基于波法推导了三明治耦合板的能量传递系数。根据能量密度控制方程,得到能量密度和功率流强度的核函数。根据惠更斯原理,结构内部的能量可由实源辐射的直接场能量与边界虚源的反射场能量叠加得到。求解第二类Fredholm积分方程获得边界虚源的强度。数值算例结果与模态叠加和功率流分析(power flow analysis,PFA)对比,验证了所建模型的正确性和准确性。对L型耦合三明治板求解,获得其能量密度和功率流分布特征。
