2014
DOI: 10.1016/j.applthermaleng.2013.11.003
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Heating characteristics of billet in a walking hearth type reheating furnace

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Cited by 72 publications
(33 citation statements)
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“…It was originally introduced by Hottel et al [2] and further developed, modified and used by other researchers, for instance by Batu et al [3], Bordbar et al [4], Tan et al [5], and Emadi et al [6]. Using the same idea, several other methods have also been proposed for the analysis of radiation heat transfer in the participating media with isotropic and anisotropic scattering, for instance by Bordbar et al [7] and Yuen [8].…”
Section: Introductionmentioning
confidence: 99%
“…It was originally introduced by Hottel et al [2] and further developed, modified and used by other researchers, for instance by Batu et al [3], Bordbar et al [4], Tan et al [5], and Emadi et al [6]. Using the same idea, several other methods have also been proposed for the analysis of radiation heat transfer in the participating media with isotropic and anisotropic scattering, for instance by Bordbar et al [7] and Yuen [8].…”
Section: Introductionmentioning
confidence: 99%
“…The first term on the right hand side of Eq. (8) corresponds to the minimum energy required for heating a slab. Moreover, the penalty function is designed to allow the optimizer to search for the solution necessary to maintain a uniform slab section temperature within 30 C. The shooting method is used to find that combination of the temperatures of preheating zone (T g1 ), heating zone (T g2 ) and soaking zone (T g3 ) which can meet the requirement of a slab target temperature of 1200 ± 10 C. For a specified slab target temperature, given a combination of T g1 and T g2, the shooting method applies the NewtoneRaphson method to find the value of T g3 .…”
Section: Objective Function For Design Requirementsmentioning
confidence: 99%
“…[16][17][18] Meanwhile, a full 3-dimensional temperature field is studied in recent research work. [19][20][21][22][23][24] The CFD methodology is combined with 3-dimensional model. Although a CFD method can be used to analyze the furnace thermal characteristics, it really costs much due to large calculation work in solving numerous governing equations and managing complexity of furnace structure as well as the uncertainty of a model.…”
Section: Analysis Of Billet Thermal Behavior and Temperature Setting mentioning
confidence: 99%