Performance evaluation of four radiative transfer methods in solving multi-dimensional radiation and/or conduction heat transfer problems

Mishra, Subhash C.; Kim, Man Young; Maruyama, Shigenao

doi:10.1016/j.ijheatmasstransfer.2012.05.078

Cited by 25 publications

(10 citation statements)

References 41 publications

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“…For this case we assume that the south boundary is raised at a temperature Ts and the other three boundaries are cold and black. We define the dimensionless heat flux and emissive power, respectively as: Figure 4, results of the dimensionless heat flux R  obtained from the LBM, is compared with that of the FVM [19]. In this figure, comparison has been made for, 3.0   and 5.0   .…”

Section: Radiative Equilibriummentioning

confidence: 99%

Lattice Boltzmann method for heat transfer problems with variable thermal conductivity

Hamila¹,

Chaabane²,

Askri³

et al. 2017

IJHT

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In this paper, we investigate the effect of variation in thermal conductivity on several transient heat transfer problems with the lattice Boltzmann method (LBM). First, benchmark problems involving radiation and/or conduction with constant thermal conductivity are simulated. Then we consider the case of variable thermal conductivity with temperature in solving 2D coupled conduction-radiation heat transfer problem and natural convection in differentially heated enclosure. Both the energy equation and the radiative transfer equation (RTE) were solved using exclusively the lattice Boltzmann method. Good agreement with available data in literature was obtained.

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Section: Radiative Equilibriummentioning

confidence: 99%

Lattice Boltzmann method for heat transfer problems with variable thermal conductivity

Hamila¹,

Chaabane²,

Askri³

et al. 2017

IJHT

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“…Following the DTM formulation , in Eq. , in the direction with index m the intensity

I_{D}^{m}

at any downstream location is computed in terms of the upstream intensity

I_{U}^{m}

and the average source term

S_{a v}

I_{D} = I_{U} exp (- β d s) + S_{a v} [1 - exp (- β d s)]

where

d s = \frac{d x}{| prefixcos α |}

is the distance between the upstream U and the downstream D locations, and

S_{a v} = \frac{S_{U} + S_{D}}{2}

is the average source term.…”

Section: Formulationmentioning

confidence: 99%

“…Following the DTM formulation [35][36][37], in Eq. (4), in the direction with index m the intensity I m D at any downstream location is computed in terms of the upstream intensity I m U and the average source term S av as…”

Section: Formulationmentioning

confidence: 99%

Simultaneous Estimation of Properties in a Combined Mode Conduction–Radiation Heat Transfer in a Porous Medium

Mishra

Basu

2015

Heat Trans. Asian Res.

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Simultaneous estimation of thermophysical and optical properties such as the thermal conductivity, the scattering albedo, and the emissivity of a 1‐D planar porous matrix involving combined mode conduction and radiation heat transfer with heat generation is reported. Coupled energy equations for the gas and solid phase account for the nonlocal thermal equilibrium between the two phases. Performances of the genetic algorithm (GA) and the global search algorithm (GSA) in simultaneous estimation of three properties are analyzed. Both the GA and the GSA utilize a priori knowledge of the axial gas temperature distribution, and the magnitudes of the convective and the radiative heat fluxes at the outer surface of the porous matrix. With volumetric radiative information needed in the solid‐phase energy equation computed using the discrete transfer method, the two energy equations are simultaneously solved using the finite volume method. GSA provides better estimation, and computationally, it is much faster than the GA.

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“…Coupled radiative and conductive heat transfer in concentric spherical and cylindrical media was studied by Aouled-Dlala et al [19] with a new technique to improve the performance of the discrete ordinates method. Mishra et al [20][21][22] studied conduction−radiation heat transfer in various works using different numerical methods and compared them with each other.…”

Section: Introductionmentioning

confidence: 99%

Coupled radiative-conductive heat transfer problems in complex geometries using embedded boundary method

Zabihi

Lari

Amiri

2017

J Braz. Soc. Mech. Sci. Eng.

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List of symbols A Surface area [m 2 ] G Incident radiation [W/m 2 ] I Radiative intensity [W/m 2 sr] k Thermal conductivity [W/m K] L Length [m] M Number of discrete directions n Unit vector perpendicular to the surface N cr Conduction-radiation parameter (=kβ/4σT 3) q Thermal flux [W/m 2 ] r Position vector [m] S Source term [W/m 3 ] T Temperature [K] V Volume [m 3 ] w Quadrature weight x, y, z Coordinate [m] D m ci Directional weight f i Area fraction of embedded control surface F ij Volume fraction of embedded control volume Greek symbols β Extinction coefficient [m −1 ] ε Emissivity θ Dimensionless temperature κ Absorption coefficient [m −1 ] ξ, η, μ Directional cosines in x, y and z ρ Reflectivity σ Stefan-Boltzmann constant (=5.67 × 10 −8 W/ m 2 K 4

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Performance evaluation of four radiative transfer methods in solving multi-dimensional radiation and/or conduction heat transfer problems

Cited by 25 publications

References 41 publications

Lattice Boltzmann method for heat transfer problems with variable thermal conductivity

Lattice Boltzmann method for heat transfer problems with variable thermal conductivity

Simultaneous Estimation of Properties in a Combined Mode Conduction–Radiation Heat Transfer in a Porous Medium

Coupled radiative-conductive heat transfer problems in complex geometries using embedded boundary method

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