Abstract

This paper presents the results of the first stage of verification of the generalized computational algorithm for determining the geometrical, dynamical, and energy parameters of the “parabolic trough concentrator – tube heat receiver” solar receiver system. This algorithm is based on the dimensionless coupled mathematical model of heat and mass exchange in the “Sun – parabolic trough concentrator – tube receiver” system. The Monte Carlo ray tracing method was used to calculate irregular heat flux from the concentrator to the tube receiver surface. The 3D mathematical model of heat exchange in the tube receiver was solved using the finite volume method. The mathematical model took local climatic and geographical features into account, as well as micro- and macroscopic imperfections of the concentrator surface. The dimensional problem of heat exchange in the tube receiver of the solar parabolic trough system was solved at the first stage of verification. A simplified physical model was described. It was assumed that the glass envelope around the tube receiver was removed. The dimensional mathematical model of heat exchange in the tube receiver is based on the system of Navier–Stokes equations for viscous incompressible liquid with constant physical properties. The mathematical model with real boundary conditions was solved numerically. An analytical solution for the test problem with trivial boundary conditions was obtained. The results of the test numerical problem were compared with analytical solution results and were found to be in close agreement. Numerical experiments with real boundary conditions were conducted using the computational algorithm. The numerical data were compared with the results of field experimental studies and showed nearly total agreement, which proved the adequacy of the basic mathematical model and the resulting numerical algorithm.

中文翻译：

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太阳抛物线槽系统管式受热器参数分析数值算法的验证

摘要

本文介绍了确定“抛物槽式集中器-管式热接收器”太阳能接收器系统的几何，动力学和能量参数的通用计算算法的第一阶段验证结果。该算法基于“ Sun –抛物槽式集中器–管道接收器”系统中热量和质量交换的无量纲耦合数学模型。蒙特卡洛射线追踪法用于计算从集中器到试管接收器表面的不规则热通量。使用有限体积法求解了管道接收器中热交换的3D数学模型。该数学模型考虑了当地的气候和地理特征，以及选矿厂表面的微观和宏观缺陷。在验证的第一阶段，解决了太阳能抛物线槽系统的管道接收器中热交换的尺寸问题。描述了简化的物理模型。假定已除去试管接收器周围的玻璃外壳。管接收器中热交换的尺寸数学模型基于具有恒定物理特性的粘性不可压缩液体的Navier-Stokes方程组。数值求解了具有实际边界条件的数学模型。得到了具有平凡边界条件的测试问题的解析解。将测试数值问题的结果与解析解的结果进行了比较，发现它们非常吻合。使用计算算法进行了具有实际边界条件的数值实验。