SOLUTION METHOD OF INVERSE PROBLEM ON RADIATIVE・CONVECTIVE HEAT TRANSFER

1. 提出了利用奇异值分解求解辐射-对流-换热复合问题的逆辐射负荷问题的方法。为了证明该方法的有效性，给出了二维炉内固体材料均匀热流密度要求的各加热器热负荷分布图。提出了一种求解辐射特性值逆问题的方法，给出了系统周围固体壁面的温度和热流密度分布以及系统内气体温度分布，并计算了系统内气体吸收系数的分布。该方法首先通过给出气体吸收系数的初值，用蒙特卡罗方法求解辐射传热的正演问题，然后由气体和壁面的温度分布得到与气体吸收系数相对应的壁面热流密度分布。然后，对吸收系数的暂定值进行修正，使得到的壁面热流密度曲线与最初给出的壁面热流密度曲线之间的差为零。通过重复这些过程，得到了与初始条件相对应的吸收系数的分布。为了吸收系数值的收敛性，对吸收系数的能量方程进行了伪线性化处理。为了缩短迭代计算所需的计算时间，将计算单元之间的辐射能量交换因子READ值分为吸收系数依赖部分和独立部分，将使用蒙特卡罗方法需要较长计算时间的独立部分推出迭代循环。将这些技术结合起来，提出了求解辐射性质值逆问题的方法。将该方法应用于二维系统，验证了该方法的有效性。少

1. A solution method is developed by utilizing the singular value decomposition to solve the inverse radiative load problems on combined radiative-convective-heat transfer problems. To show the validity of the method, the profile of heat load of each heater which is required to give uniform heat flux on a solid material set in a two-dimensional furnace is obtained.2. A solution method is also developed to solve the inverse radiative property value problems, in which, temperature and heat flux profiles along the solid walls surrounding the system and the gas temperature distribution in the system are given and the distribution of gas absorption coefficient in the system is calculated. In the method, forward problem of radiative heat transfer is solved by the Monte Carlo method at first by giving initial values of gas absorption coefficients, and wall heat flux distribution corresponding to the gas absorption coefficients is obtained from the temperatur distributions of gas and wall elem … More ents. Then, the tentative values of the absorption coefficients are corrected so as that the difference between the obtained and initially given profiles of wall heat flux become zero. By repeating these procedure, the distribution of absorption coefficient which corresponds to the initial conditions. For the convergence of the values of the absorption coefficients, the energy equations are pseudo-linearized for the absorption coefficients. To shorten the computation time required for the iterational calculation, the radiative energy exchange factors between calculational elements, the READ values, are divided into two parts, the absorption-coefficient-dependent part and the independent part, and the independent part which requires long computation time for its use of the Monte Carlo method is pushed out of the iterational loop. By combining these technique, the solution method to solve the inverse radiative property value problem is developed. The method is applied to a two-dimensional system, and the validity is proved. Less