配置点谱方法求解非均匀介质内辐射传热问题  

Collocation Spectral Method to Solve Radiative Heat Transfer in Inhomogeneous Medium

作　　者：李新宇 赵家资 胡杨 孙亚松 马菁[2] LI Xin-yu;ZHAO Jia-zi;HU Yang;SUN Ya-song;MA Jing(School of Power and Energy,Northwestern Polytechnical University,Xi’an 710072,China;School of Automobile,Chang’an University,Xi’an 710064,China)

机构地区：[1]西北工业大学动力与能源学院,陕西西安710072 [2]长安大学汽车学院,陕西西安710064

出　　处：《推进技术》2021年第11期2515-2521,共7页Journal of Propulsion Technology

基　　金：国家自然科学基金(51976173;51976014);陕西省重点研发计划(2018SF-387;2020GY-200);江苏省自然科学基金(BK20201204);太仓市基础研究计划(TC2019JC01);中央高校基本业务费(3102019OMS701;300102229305)。

摘　　要：发动机内的燃气等高温介质随着组分和浓度的变化,会引起折射率在空间上的非均匀分布,导致辐射能束沿着曲线传播,其相应的辐射传热过程也更为复杂。为了避免射线追踪方法的复杂计算、提高计算效率,提出了配置点谱方法求解二维非均匀介质内辐射传热问题。在求解过程中,角向采用离散坐标法处理,空间采用配置点谱方法处理。通过将三种非均匀介质内辐射传热问题的配置点谱方法结果与文献结果进行对比分析,发现配置点谱方法可以在较少的节点数下,获得准确、有效的计算结果。并且,采用配置点谱方法求解三种算例的计算时间消耗较少,均在20min以内。这将为进一步开展发动机复杂结构内高温燃气辐射快速仿真提供基础。With changing of composition and concentration of high-temperature gas in an aero-engine,the refractive index is inhomogeneous. The heat ray goes along a curved path. As a result,the corresponding radiative heat transfer process in the inhomogeneous medium is more difficult than that in the uniform medium. To avoid the complicated computation of the curved ray tracing method and improve the calculation efficiency,a collocation spectral method(CSM)was proposed to solve the radiative heat transfer problem in two-dimensional inhomogeneous medium. In the process of solving,the discrete ordinates method is adopted to discretize the angular term,and the spatial domain is discretized by the CSM. Three different cases of radiative heat transfer in an inhomogeneous medium are chosen. The CSM results are compared with available results in references. The comparisons indicate that the CSM has good accuracy and efficiency even using very litter nodes. Furthermore,the calculational times of these three cases by using CSM are less than 20 minutes. The CSM will provide a basis for rapid simulation of high-temperature gas radiation in the complex structure of the aero-engine.

关 键 词：高温热辐射 非均匀介质 辐射强度 配置点谱方法 热传递 

分 类 号：V231.1[航空宇航科学与技术—航空宇航推进理论与工程]