連続型抵抗加熱炉の熱的設計問題

概要

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For an electric resistance vacuum furnace of continuous-type used for high temperature sintering process of new ceramic materials, a thermal designing problem is studied based on both simulation and optimization methods. This furnace is divided into many small cells, and static heat balance relations among each cell are described mathematically by investigating the spatially three-dimensional heat transfer phenomenon. Then, a thermal insulation designing problem is formulated as a nonlinear multiobjective optimization problem, in which both (a) the total volume of the heat insulator and (b) the total heat loss from the furnace are minimized simultaneouly. The set of Pareto optimal solutions is derived by adopting both the weighting method and the generalized reduced gradient algorithm, and the thickness of the heat insulator and the temperature of the heater are determined optimally.
1987-03-15