Constructal dendritic configuration for the radiation heating of a solid stream
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Here we show that the configuration of a slender enclosure can be optimized such that the radiation heating of a stream of solid is performed with minimal fuel consumption at the global level. The solid moves longitudinally at constant rate through the enclosure. The enclosure is heated by gas burners distributed arbitrarily, in a manner that is to be determined. The total contact area for heat transfer between the hot enclosure and the cold solid is fixed. We find that minimal global fuel consumption is achieved when the longitudinal distribution of heaters is nonuniform, with more heaters near the exit than the entrance. The reduction in fuel consumption relative to when the heaters are distributed uniformly is of order 10%. Tapering the plan view (the floor) of the heating area yields an additional reduction in overall fuel consumption. The best shape is when the floor area is a slender triangle on which the cold solid enters by crossing the base. These architectural features recommend the proposal to organize the flow of the solid as a dendritic design, which enters as several branches, and exits as a single hot stream of prescribed temperature. The thermodynamics of heating is presented in modern terms in the Sec. (exergy destruction, entropy generation). The contribution is that to optimize "thermodynamically" is the same as reducing the consumption of fuel. © 2010 American Institute of Physics.
Published Version (Please cite this version)10.1063/1.3429195
Publication InfoKang, DH; Lorente, S; & Bejan, A (2010). Constructal dendritic configuration for the radiation heating of a solid stream. Journal of Applied Physics, 107(11). pp. 114910. 10.1063/1.3429195. Retrieved from https://hdl.handle.net/10161/3379.
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J.A. Jones Distinguished Professor of Mechanical Engineering
Professor Bejan's research covers engineering science and applied physics: thermodynamics, heat transfer, convection, design, and evolution in nature. Professor Bejan was ranked in 2001 among the 100 most highly cited authors worldwide in engineering (all fields, all countries), the Institute for Scientific Information. Professor Bejan has received 18 honorary doctorates from universities in 11 countries. Adrian Bejan is the author of 30 books and over 650 peer-referred