Treatment of Irregular Geometries Using a Cartesian Coordinates Finite-Volume Radiation Heat Transfer Procedure

Chai, John C.; Lee, HaeOk S.; Patankar, S. V.

doi:10.1080/10407799408914927

Cited by 112 publications

(49 citation statements)

References 7 publications

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“…Initially proposed by Briggs et al [9] from the field of neutron transport, this idea was adapted to the radiative heat transfer by pioneers like Raithby and Chui [10] and Chai et al [11].…”

Section: The Rte Finite Volume Methods (Rte-fvm)mentioning

confidence: 99%

Comparison of Two Models for Radiative Heat Transfer in High Temperature Thermal Plasmas

Melot

Trépanier

Camarero

et al. 2011

Modelling and Simulation in Engineering

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Numerical simulation of the arc-flow interaction in high-voltage circuit breakers requires a radiation model capable of handling high-temperature participating thermal plasmas. The modeling of the radiative transfer plays a critical role in the overall accuracy of such CFD simulations. As a result of the increase of computational power, CPU intensive methods based on the radiative transfer equation, leading to more accurate results, are now becoming attractive alternatives to current approximate models. In this paper, the predictive capabilities of the finite volume method (RTE-FVM) and the P1 model are investigated. A systematic comparison between these two models and analytical solutions are presented for a variety of relevant test cases. Two implementations of each approach are compared, and a critical evaluation is presented.

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Section: The Rte Finite Volume Methods (Rte-fvm)mentioning

confidence: 99%

Comparison of Two Models for Radiative Heat Transfer in High Temperature Thermal Plasmas

Melot

Trépanier

Camarero

et al. 2011

Modelling and Simulation in Engineering

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“…According to this method, in order to simplify complex geometries, the computational domain exceeds physical boundaries and is divided into equal control volumes. Depending on the proportion of the element overlapping this boundary, cell elements would be classified into active or inactive cells [13].…”

Section: Introductionmentioning

confidence: 99%

Discrete ordinates method applied to radiative transfer equation in complex geometries meshed by structured and unstructured grids

Aghanajafi

Abjadpour

2015

J Braz. Soc. Mech. Sci. Eng.

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“…(4). In this work, the finite volume method (FVM) for radiation suggested by Chui and Raithby, 8) and developed by Chai et al 9) and Baek et al 10) is adopted to discretize the RTE. More detailed information on the FVM can be easily found in the literature.…”

Section: Solution Methodsmentioning

confidence: 99%

Prediction of Furnace Heat Transfer and Its Influence on the Steel Slab Heating and Skid Mark Formation in a Reheating Furnace

et al. 2008

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In this work, a mathematical heat transfer model of a walking-beam type reheating furnace has been developed. The model can predict the heat flux distribution within the furnace and the temperature distribution in the slab throughout the reheating furnace process by considering the heat exchange between the slab and its surroundings in the furnace, including the radiant heat transfer among the slabs, the skids, the hot gases and the furnace wall as well as the gas convection heat transfer in the furnace. The furnace filled with hot combustion gases such as H 2 O, CO 2 , O 2 , and N 2 is modeled as radiating medium with spatially varying temperature. After the predictions of the present model were compared with the data from an in situ measurement in the furnace, the effect of the skids on the slab heating, the heat transfer characteristics and temperature behavior of the slab were investigated by changing such parameters as residence time and emissivities of the slab and the furnace wall.KEY WORDS: reheating furnace; steel slab heating; radiative heat flux; convective heat flux; skid mark formation; finite volume method. 1325© 2008 ISIJ considering the quasi-steady two dimensional heat transfer transverse to the marching direction of the slab in the reheating furnace. Recently, Kim 5) developed a heat transfer model to predict the transient heating of the slab in a directfired walking-beam type reheating furnace by considering thermal radiation. This model is simple and accurate but requires less computational time than the first approach.In the work, a mathematical heat transfer model is suggested in order to predict the heat flux impinging on the slab surface and thereby temperature distribution inside the slab, which can be categorized as the second approach. In other words, firstly, the total heat flux including radiative and convective heat flux is calculated in the furnace gas field by using the experimental data related to the temperature and concentration distributions of the furnace gas as well as the temperature distribution of the furnace wall, and then the heat conduction analysis of the slab is performed by applying the total heat flux as the boundary condition of the transient heat conduction equation. Therefore, the model can predict the thermal behavior of the slab throughout the furnace.The furnace in this paper is modeled as radiating medium with spatially varying temperature and is filled with hot combustion gases that consist of H 2 O, CO 2 , O 2 , and N 2 , and have highly spectral radiative characteristics. Accordingly, the weighted sum of gray gas model (WSGGM) 6) is used to consider the nongray behavior of the combustion gases. In the following sections, after describing the methodology adopted here for the prediction of furnace processes within the reheating furnace, the effects of such parameters as the furnace charging speed (or residence time) and emissivities of the slab and furnace wall on the heat transfer characteristics and thermal behavior of the slab are investigated. Finally, ...

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Treatment of Irregular Geometries Using a Cartesian Coordinates Finite-Volume Radiation Heat Transfer Procedure

Cited by 112 publications

References 7 publications

Comparison of Two Models for Radiative Heat Transfer in High Temperature Thermal Plasmas

Comparison of Two Models for Radiative Heat Transfer in High Temperature Thermal Plasmas

Discrete ordinates method applied to radiative transfer equation in complex geometries meshed by structured and unstructured grids

Prediction of Furnace Heat Transfer and Its Influence on the Steel Slab Heating and Skid Mark Formation in a Reheating Furnace

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