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SOLUTION OF THE INVERSE RADIATIVE LOAD PROBLEMS BY THE SINGULAR VALUE DECOMPOSITION

DOI: 10.1615/ICHMT.1995.RadTransfProc.400

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

Amr Eid
Department of Mechanical Engineering, Faculty of Engineering, Hokkaido University, Sapporo, JAPAN

Takahiko Saito
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

Résumé

A method is developed to solve inverse radiative load problems within multi-dimensional systems with arbitrary shapes. The energy equations for each gas and wall element are expressed in a matrix form, and the inverse matrix is obtained by the singular value decomposition technique to estimate the temperature and heat load distributions within the gas region from the profiles of the heat flux and the temperature of the wall elements. From these analyses, the method is shown to give stable results for the radiative inverse load problems when the condition number of the matrix is reduced to an appropriate lower value by setting some singular values to 0.

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