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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 57, 2010 - Issue 5
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Original Articles

Radiation Element Method Coupled with the Lattice Boltzmann Method Applied to the Analysis of Transient Conduction and Radiation Heat Transfer Problem with Heat Generation in a Participating Medium

Atsushi Sakurai Department of Mechanical and Production Engineering, Niigata University, Niigata-city, Japan
,
Subhash C. Mishra Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, IndiaCorrespondence[email protected]
&
Shigenao Maruyama Institute of Fluid Science, Tohoku University, Sendai, Japan
Pages 346-368 | Received 11 Mar 2009, Accepted 12 Dec 2009, Published online: 08 Mar 2010

Citations (22)

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Sundarraj Nataraj, KS Reddy & Sumesh P. Thampi. (2017) Lattice Boltzmann simulations of a radiatively participating fluid in Rayleigh–Benard convection. Numerical Heat Transfer, Part A: Applications 72:4, pages 313-329.
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Aritra Mukherjee, Subhash C. Mishra & Pranab K. Mondal. (2017) Numerical analysis of combined-mode dual-phase-lag heat conduction and radiation in an absorbing, emitting, and scattering cylindrical medium. Numerical Heat Transfer, Part A: Applications 71:7, pages 769-788.
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SubhashC. Mishra, Himanshu Poonia, RohanR. Vernekar & ArupK. Das. (2014) Lattice Boltzmann Method Applied to Radiative Transport Analysis in a Planar Participating Medium. Heat Transfer Engineering 35:14-15, pages 1267-1278.
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SubhashC. Mishra, Himanshu Poonia, ArupK. Das, Pietro Asinari & R. Borchiellini. (2014) Analysis of Conduction-Radiation Heat Transfer in a 2D Enclosure Using the Lattice Boltzmann Method. Numerical Heat Transfer, Part A: Applications 66:6, pages 669-688.
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Tien-Mo Shih, Yingbin Zheng, Martinus Arie & Jin-Cheng Zheng. (2013) Literature Survey of Numerical Heat Transfer (2010–2011). Numerical Heat Transfer, Part A: Applications 64:6, pages 435-525.
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Vasily Novozhilov & Conor Byrne. (2013) Lattice Boltzmann Modeling of Thermal Explosion in Natural Convection Conditions. Numerical Heat Transfer, Part A: Applications 63:11, pages 824-839.
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RamchandraP. Chopade, Vineet Mohan, Rahul Mayank, RamgopalV. S. Uppaluri & SubhashC. Mishra. (2013) Simultaneous Retrieval of Parameters in a Transient Conduction-Radiation Problem Using a Differential Evolution Algorithm. Numerical Heat Transfer, Part A: Applications 63:5, pages 373-395.
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JahrulM. Alam, NicholasK.-R. Kevlahan, OlegV. Vasilyev & Zahangir Hossain. (2012) A Multiresolution Model for the Simulation of Transient Heat and Mass Transfer. Numerical Heat Transfer, Part B: Fundamentals 61:3, pages 147-170.
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SubhashC. Mishra, Ch. Hari Krishna & Man Young Kim. (2011) Analysis of Conduction and Radiation Heat Transfer in a 2-D Cylindrical Medium Using the Modified Discrete Ordinate Method and the Lattice Boltzmann Method. Numerical Heat Transfer, Part A: Applications 60:3, pages 254-287.
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H. Bararnia, K. Hooman & D.D. Ganji. (2011) Natural Convection in a Nanofluids-Filled Portioned Cavity: The Lattice-Boltzmann Method. Numerical Heat Transfer, Part A: Applications 59:6, pages 487-502.
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SubhashC. Mishra, Ch. Hari Krishna & Man Young Kim. (2010) Lattice Boltzmann Method and Modified Discrete Ordinate Method Applied to Radiative Transport in a Spherical Medium with and without Conduction. Numerical Heat Transfer, Part A: Applications 58:11, pages 852-881.
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Atsushi Sakurai, Shigenao Maruyama & Koji Matsubara. (2010) The Radiation Element Method Coupled with the Bioheat Transfer Equation Applied to the Analysis of the Photothermal Effect of Tissues. Numerical Heat Transfer, Part A: Applications 58:8, pages 625-640.
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Articles from other publishers (10)

Cun-Hai Wang, Yan-Yan Feng, Kai Yue & Xin-Xin Zhang. (2019) Discontinuous finite element method for combined radiation-conduction heat transfer in participating media. International Communications in Heat and Mass Transfer 108, pages 104287.
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F. Bouzgarrou, F. Askri, H. Belhaj Ali & S. Ben Nasrallah. (2017) Analyses of unsteady conduction-radiation heat transfer using unstructured Lattice Boltzmann method. International Journal of Thermal Sciences 116, pages 287-309.
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Yan Su, Tiniao Ng & Jane H. Davidson. (2017) A Parallel Non-Dimensional Lattice Boltzmann Method for fluid flow and heat transfer with solid–liquid phase change. International Journal of Heat and Mass Transfer 106, pages 503-517.
Crossref
D. Le Hardy, Y. Favennec, G. Domingues & B. Rousseau. (2016) 3D Radiative Transfer Equation Coupled with Heat Conduction Equation with Realistic Boundary Conditions Applied on Complex Geometries. Journal of Applied Mathematics and Physics 04:08, pages 1488-1493.
Crossref
Yan Su & Jane H. Davidson. (2016) A new mesoscopic scale timestep adjustable non-dimensional lattice Boltzmann method for melting and solidification heat transfer. International Journal of Heat and Mass Transfer 92, pages 1106-1119.
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Ji Zhou, Zhi-Hong He, Yu Ma & Shi-Kui Dong. (2015) Coupled thermal-optic effects and electrical modulation mechanism of birefringence crystal with Gaussian laser incidence. Chinese Physics B 24:9, pages 094203.
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Yan Su, Francis A. Kulacki & Jane H. Davidson. (2014) Experimental and numerical investigations on a solar tracking concentrated photovoltaic–thermal system with a novel non-dimensional lattice Boltzmann method. Solar Energy 107, pages 145-158.
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Eita Shoji, Atsuki Komiya, Junnosuke Okajima & Shigenao Maruyama. (2012) Development of quasi common path phase-shifting interferometer for measurement of natural convection fields. International Journal of Heat and Mass Transfer 55:25-26, pages 7460-7470.
Crossref
Yue-Tzu Yang & Feng-Hsiang Lai. (2011) Numerical study of flow and heat transfer characteristics of alumina-water nanofluids in a microchannel using the lattice Boltzmann method. International Communications in Heat and Mass Transfer 38:5, pages 607-614.
Crossref
Yijie Wei, Xiaochuan Liu, Keyong Zhu & Yong Huang. (2022) A Unified Lattice Boltzmann Framework for Combined Radiation-Conduction Heat Transfer. SSRN Electronic Journal.
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