Transient Conduction-Radiation Heat Transfer in Participating Media Using the Lattice Boltzmann Method and the Discrete Transfer Method

Mishra, Subhash C.; Lankadasu, A.

doi:10.1080/10407780590921935

Cited by 88 publications

(84 citation statements)

References 18 publications

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“…For this lattice, the two velocities 1 e and 2 e , and their corresponding weights 1 w and 2 w , are given by:…”

Section: Energy Equation By Lbmmentioning

confidence: 99%

“…The cases of constant thermal conductivity and unity refractive index in combined conduction-radiation heat transfer problems have been studied in detail by many investigators [1][2][3][4][5]. Because of the mathematical complexities, a limited literature is available that individually deal with the effects of variable thermal conductivity [6] and constant and/or variable refractive index [7].…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Conduction-Radiation Heat Transfer With Variable Thermal Conductivity and Variable Refractive Index: Application of the Lattice Boltzmann Method

Mahmoudi¹,

Mejri²

2015

IJHT

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The effect of variable thermal conductivity and variable refractive index on transient conduction and radiation heat transfer in a planar medium is investigated. Thermal conductivity of the medium is assumed to vary linearly with temperature, while the other thermo-physical properties are assumed constant. The radiative transfer equation and the nonlinear energy equation are solved using lattice Boltzmann method (LBM). The effects of various parameters are studied. The LBM results are compared with those available in literature and a good agreement is found.

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“…For this lattice, the two velocities 1 e and 2 e , and their corresponding weights 1 w and 2 w , are given by:…”

Section: Energy Equation By Lbmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of Conduction-Radiation Heat Transfer With Variable Thermal Conductivity and Variable Refractive Index: Application of the Lattice Boltzmann Method

Mahmoudi¹,

Mejri²

2015

IJHT

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“…The usage of the LBM to formulate and solve different types of heat transfer problems involving volumetric radiation in different geometries has been extended (Mishra et al, 2014a, Chen and Zhang, 1999, Succi, 2001, Wang et al, 2013, Jiaung et al, 2001, Lankadasu and Mishra, 2005, Chaabane et al, 2011a, 2011b, Mishra and Mondal, 2009, Chaabane et al, 2011c. However, in all such problems, although the radiative information was computed using the conventional RTE solvers and in terms of formulation and computational time, the solution of the energy equation by the LBM was encouraging.…”

Section: Introductionmentioning

confidence: 99%

“…So, efforts toward development of efficient methods continue. In the recent past, the lattice Boltzmann method (LBM) has emerged as an efficient method to analyze a vast range of problems in fluid flow and heat transfer (Chen and Zhang, 1999, Succi, 2001, Wang et al, 2013, Jiaung et al, 2001, Lankadasu and Mishra, 2005, Chaabane et al, 2011a, 2011b, Mishra and Mondal, 2009, Chaabane et al, 2011c, Asinari et al, 2010and Di Rienzo et al, 2011. Unlike conventional methods, which solve the discretized macroscopic Navier-Stokes equations, the LBM uses simple microscopic kinetic models to stimulate complex transport phenomena.…”

Section: Introductionmentioning

confidence: 99%

“…In the recent past, the lattice Boltzmann method (LBM) has emerged as an efficient method to analyze a vast range of problems in fluid flow and heat transfer (Chen and Zhang, 1999, Succi, 2001, Wang et al, 2013, Jiaung et al, 2001, Lankadasu and Mishra, 2005, Chaabane et al, 2011a, 2011b, Mishra and Mondal, 2009, Chaabane et al, 2011c, Asinari et al, 2010and Di Rienzo et al, 2011. Unlike conventional methods, which solve the discretized macroscopic Navier-Stokes equations, the LBM uses simple microscopic kinetic models to stimulate complex transport phenomena.So, this surge in applications of the LBM, compared to existing CFD solvers, is owing to its simple calculation procedure, mesoscopic nature, simple and efficient implementation for parallel computation, easy, robust straight forward and efficient handing of complex geometry and boundary conditions, high computational performance with regard to stability, accuracy and precision and memory overhead over other methods (Succi, 2001).The usage of the LBM to formulate and solve different types of heat transfer problems involving volumetric radiation in different geometries has been extended (Mishra et al, 2014a, Chen and Zhang, 1999, Succi, 2001, Wang et al, 2013, Jiaung et al, 2001, Lankadasu and Mishra, 2005, Chaabane et al, 2011a, 2011b, Mishra and Mondal, 2009, Chaabane et al, 2011c. However, in all such problems, although the radiative information was computed using the conventional RTE solvers and in terms of formulation and computational time, the solution of the energy equation by the LBM was encouraging.…”

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confidence: 99%

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Analysis of Rayleigh-Bénard convection with thermal volumetric radiation using Lattice Boltzmann Formulation

Chaabane

Askri

Jemni

et al. 2017

JTST

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The interactions between Transient Rayleigh-Bénard convection and volumetric radiation are investigated by means of the lattice Boltzmann method (LBM) performed for a two dimensional participating Rayleigh-Bénard cell. Given that, the analysis of the transient convection-radiation finds applications in combustion chambers, rocket propulsion systems, the design of reactors, heat pipes, etc. in this paper, we extended the mesoscopic Lattice Boltzmann model for analyzing the coupled engineering problem Rayleigh-Bénard Convection with thermal radiation. In order to highlight and assess the aim and the computational advantage of computing the radiative information too using the LBM and to demonstrate the workability of the LBM to a such coupled problem in two dimensional media, first, transient Rayleigh-Bénard convection is solved using the lattice Boltzmann method (LBM) and then are compared with those available in the literature. The coupled transient case, Rayleigh-Bénard convection-radiation in participating media is extended, where LBM, is used, both to calculate the volumetric radiative information needed for the energy equation, which is solved using the LBM. Results of this recent approach LBM-LBM work are compared with those available in the literature. In all cases, good agreement has been obtained. Indeed, the recent numerical approach is found to be efficient, accurate, and numerically stable for the simulation of fluid flows with heat and mass transfer in presence of volumetric radiation in participating medium. The steady state stream-functions, isotherms and pressure distribution were compared with results available in the literature. It is found that the recent approach provides accurate results and it is computationally more efficient than others CFD numerical methods which approve the workability of this recent approach and this make it a new potential computational tool for solving a large class of engineering problems. Chaabane, Askri, Jemni and Ben Nasrallah, Journal of Thermal Science and Technology, Vol.12, No.2 (2017) 20 computing the different dependent variables. Thus, development of methods, remain an ongoing phenomenon in the field of radiative heat transfer. For example, in a combined mode transient convection-radiation problem, the radiative information, which appears in the form of the divergence of radiative heat flux in the energy equation can be computed using various methods such as the Monte Carlo method (MCM) (Modest, 2003), the discrete transfer method (DTM) (Cumber, 1995, Mishra et al., 2003, the discrete ordinates method (DOM) (Jamaluddin and Smith, 1988), the finite-volume method (FVM) (Mishra et al., 2014a, Chui et al., 1992, Patankar and Chai, 2000, Mathur and Murthy, 1998, Kim, 2008, Kim and Baek, 2005, the collapsed dimension method (CDM) (Mishra et al., 2003), etc.However, in multi-dimensional geometry, in a combined mode problem, even with the FVM, the computational time becomes exorbitant (Mishra et al., 2014b). So, efforts toward development of efficient met...

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Lattice Boltzmann simulation of heat conduction problems in non‐isothermally heated enclosures

Mondal

Chatterjee

2012

Heat Trans. Asian Res.

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A numerical study following the lattice Boltzmann method (LBM) is performed to solve transient heat conduction problems with and without volumetric heat generation/absorption in 2D and 3D Cartesian geometries. Uniform lattices are considered for both geometries. To validate the correctness of LBM, a finite difference method (FDM) is also used to solve the 2D problem without heat generation/absorption and results are compared with that of LBM. For both 2D and 3D geometries one of the walls is heated and cooled with a sinusoidal function and the rest of the walls are cooled isothermally. Effects of amplitude of the sinusoidal function and volumetric heat generation/absorption on temperature profiles are analyzed. Jiaung et al. [9] developed an extended LBM for phase-change problems governed by the heat conduction equation incorporating enthalpy formation. A non-Fourier heat conduction problem was solved using the LBM by Ho et al. [10]. Tian et al. [11] simulated gaseous flow and heat transfer in micro-channels using the LBM. Viscous heat dissipation was considered in their thermal LB model.

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Transient Conduction-Radiation Heat Transfer in Participating Media Using the Lattice Boltzmann Method and the Discrete Transfer Method

Cited by 88 publications

References 18 publications

Analysis of Conduction-Radiation Heat Transfer With Variable Thermal Conductivity and Variable Refractive Index: Application of the Lattice Boltzmann Method

Analysis of Conduction-Radiation Heat Transfer With Variable Thermal Conductivity and Variable Refractive Index: Application of the Lattice Boltzmann Method

Analysis of Rayleigh-Bénard convection with thermal volumetric radiation using Lattice Boltzmann Formulation

Lattice Boltzmann simulation of heat conduction problems in non‐isothermally heated enclosures

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