全谱k分布法在辐射换热计算中的应用
Radiative Heat Transfer Calculations using Full Spectrum k-Distribution Method for Benchmark Test Cases
摘要：
本文采用全谱$k$ -分布法（FSK）计算了封闭空间内有气态介质参与的辐射换热。气态介质的光谱辐射特性从HITEMP-2010数据库获得。此外，辐射特性已组装成一个单调递增的功能，使用全光谱$k$分布方法。此外，一个查找表已经开发了这些属性为不同的热力学状态的气体和多维线性插值技术不可用的热力学状态的气体。此外，FSK方法扩展到不同的混合模型，如叠加，乘法和混合混合模型的气体混合。乘法混合模型在这里使用的混合模型中产生最准确的结果。从FSK获得的结果已被验证线的线方法（LBL）。采用有限体积法求解辐射传递方程（RTE），计算了在不同温度、压力和摩尔分数条件下，均匀等温等压介质和非均匀非等温非等压介质中各种工况的壁面热流和辐射热流发散。FSK方法已成功地应用于非均匀非等温非等压气体介质的单一气体或气体的混合物，几乎LBL精度在非常少的计算成本和资源。
英文摘要：
In the present work, the full spectrum $k$-distribution method (FSK) has been adopted to calculate the radiative heat transfer in the presence of participating gaseous medium within an enclosure. The spectral radiative properties of the gaseous medium is obtained from the HITEMP-2010 database. Further, radiative properties have been assembled into a monotonically increasing function using the full spectrum $k$-distribution method. Moreover, a look-up table has been developed for these properties for different thermodynamic states of gases and a multi-dimensional linear interpolation technique for unavailable thermodynamic states of gases. Furthermore, the FSK method is extended for mixture of gases using different mixing models such as superposition, multiplication and hybrid mixing model. The multiplication mixing model produces most accurate results among the mixture models used here. The results obtained from FSK has been validated against line by line method (LBL). The radiation transfer equation (RTE) is solved by finite volume method to calculate the wall heat fluxes and the divergence of radiative heat flux for various test cases in different category of homogeneous isothermal and isobaric and non-homogeneous non-isothermal non-isobaric media having different conditions of temperature pressure and mole-fraction. The FSK method has been successfully applied to non-homogeneous non-isothermal non-isobaric gaseous media for single gas or mixture of gases with almost LBL accuracy at extremely less computational cost and resource.
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