SOLUTION METHOD OF INVERSE PROBLEM ON RADIATIVE・CONVECTIVE HEAT TRANSFER
Project/Area Number  07455090 
Research Category 
GrantinAid for Scientific Research (B)

Section  一般 
Research Field 
Thermal engineering

Research Institution  HOKKAIDO UNIVERSITY 
Principal Investigator 
KUDO Kazuhiko Hokkaido Univ., Fac., of Eng., Pro., 工学部, 教授 (40142690)

Project Fiscal Year 
1995 – 1996

Project Status 
Completed(Fiscal Year 1996)

Budget Amount *help 
¥3,800,000 (Direct Cost : ¥3,800,000)
Fiscal Year 1996 : ¥500,000 (Direct Cost : ¥500,000)
Fiscal Year 1995 : ¥3,300,000 (Direct Cost : ¥3,300,000)

Keywords  RADIATIVE HEAT TRANSFER / INVERSE PROBLEM / NUMERICAL ANALYSIS / MONTE CARLO METHOD / ふく射伝熱 / 逆問題 / 数値解析 / モンテカルロ法 / 物性値評価 
Research Abstract 
1. A solution method is developed by utilizing the singular value decomposition to solve the inverse radiative load problems on combined radiativeconvectiveheat 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 twodimensional 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
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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 pseudolinearized 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 absorptioncoefficientdependent 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 twodimensional system, and the validity is proved. 本研究では、この手法の妥当性検討のために、吸収係数分布の分かった2次元系でのふく射伝熱順問題をまず解いて、ガス温度、壁面温度および壁面熱流束を求め、これらから、逆に上記の手法を用いて最初に与えられた吸収係数分布を推定できるかどうかを調べた。この結果、本手法が2次元系に十分適用可能であることが確認された。 Less

Report
(4results)
Research Output
(12results)