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   <subfield code="a">Modeling and parametric studies of heat transfer in a direct-fired batch reheating furnace</subfield>
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   <subfield code="a">A mathematical systems model of a batch reheating furnace has been developed to assist the furnace design and heat treatment engineer. The furnace was modeled as a well-stirred enclosure with one-dimensional transient heat conduction in the refractory walls and the load. The convective heat transfer rate to the load and refractory was calculated by using existing correlations from the literature. The radiative heat transfer rate to the load was calculated using Hottel's zone method by considering the radiant energy exchange between the load, combustion gases, and the refractories. The directed-flux exchange areas were calculated using a four-gray gas model to treat the combustion gases as a nongray emitting and absorbing medium. An extensive parametric investigation has been completed to determine the furnace design and operating characteristics that lead to optimum furnace efficiency. The parametric investigations included in this paper were used to study the effect of the load and refractory emissivities, load heat capacity, and fuel firing rate and direction on the thermal performance of a direct-fired furnace.</subfield>
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