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ESTIMATION OF ABSORPTION COEFFICIENT DISTRIBUTION IN TWO-DIMENSIONAL GAS VOLUME BY SOLVING INVERSE RADIATIVE PROPERTY VALUE PROBLEM

DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHTRadTransfProc.220
9 pages

Eiji Ozaki
Division of Mechanical Science, Graduate School of Engineering, Hokkaido University

Kazuhiko Kudo
Division of Mechanical Science, Graduate School of Engineering, Hokkaido University, Japan

Akiyoshi Kuroda
Division of Mechanical Science, Graduate School of Engineering, Department of Mechanical Engineering, Faculty of Engineering, Hokkaido University, Sapporo, Japan

Masahito Oguma
Research Laboratory, Ishikawajima Harima Heavy Industry Shin'nakahara 1, Isogo-ku, Yokohama, 235 JAPAN; Hokkaido University, Japan

Abstract

A method to solve inverse radiative property value problems is developed to obtain two-dimensional distribution of absorption coefficient in combustion chambers or furnaces from the profiles of the temperature and the heat flux of the surrounding walls and of the gas temperature. In the analysis, initial guess of the absorption coefficients of each gas element are given at first, and by using the Monte Carlo method, the wall heat flux distribution corresponding to the given wall and gas temperature distributions is obtained. The initial guess of the absorption coefficients is corrected so as that the difference between the calculated and the given values of the wall heat flux becomes small. In the present study, an algorithm is proposed to push the time-consuming Monte Carlo process out of the convergence loop and the Monte Carlo procedure is carried out only one time before the convergence process begins.

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