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A QUASI-STEADY METHOD FOR INVERSE DESIGN AND CONTROL OF A TWO-DIMENSIONAL RADIANT OVEN IN TRANSIENT STATE

DOI: 10.1615/ICHMT.2008.CHT.200
13 pages

S. Mehraban
Mechanical Engineering Department, The University of Sistan & Baluchestan, 98135-161, Zahedan, Iran

Said Farahat
Department of Mechanical Engineering, University of Sistan and Baluchestan, Zahedan, Iran

Abstract

This study presents a fast and straightforward algorithm for inverse estimation of transient powers of heaters placed on the heater surface of a radiant oven to produce the desired uniform temperature and heat flux distributions over the product surface. The aim of the problem is to optimize the design of an oven used in heating processes such as drying, coating, annealing and so on, to produce the transient desired conditions over the product surface. The inverse estimation consists of three problems; the direct problem, the inverse problem and the sensitivity problem. The direct problem and the sensitivity problem are solved by the net radiation method in each time step, and the configuration factors are calculated by the Hottel's crossed-string method. The conjugate gradient method is used to minimize an objective function which is defined by the sum of square errors between estimated and desired heat fluxes over the design surface. The effects of relative length of the design surface to the heater surface, and the number of heaters are examined by some numerical examples.

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