Advanced search
Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 55, 2008 - Issue 1
Submit an article Journal homepage
553
Views
81
CrossRef citations to date
0
Altmetric
Original Articles

Simulation of Natural Convection in the Presence of Volumetric Radiation Using the Lattice Boltzmann Method

Bittagopal Mondal Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, India
&
Subhash C. Mishra Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, IndiaCorrespondence[email protected]
Pages 18-41 | Received 25 Apr 2008, Accepted 17 Oct 2008, Published online: 22 Dec 2008

Citations (81)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (22)

G. Chanakya & Pradeep Kumar. (2022) Investigation of thermal adiabatic boundary condition on semitransparent wall in combined radiation and natural convection. International Journal for Computational Methods in Engineering Science and Mechanics 23:4, pages 349-366.
Read now
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.
Read now
Cheng-An Wang, Hamou Sadat & Jian-Yu Tan. (2017) Simulations of coupled radiative and convective heat transfer in 2D and 3D semitransparent medium by the moving least square method. Numerical Heat Transfer, Part B: Fundamentals 72:1, pages 33-54.
Read now
Lirong Fu, Wenping Zhang, Pingjian Ming, Yuesheng Luo & Lilong Jing. (2015) Numerical Method on Natural Convection and Radiation Heat Transfer with an Isotropic Scattering Medium. Numerical Heat Transfer, Part B: Fundamentals 68:5, pages 434-458.
Read now
Yujia Sun & Xiaobing Zhang. (2015) Analysis of Transient Conduction and Radiation Problems Using the Lattice Boltzmann and Discrete Ordinates Methods. Numerical Heat Transfer, Part A: Applications 68:6, pages 619-637.
Read now
Masoud Darbandi & Bagher Abrar. (2014) A Compressible Approach to Solve Combined Natural Convection-Radiation Heat Transfer in Participating Media. Numerical Heat Transfer, Part B: Fundamentals 66:5, pages 446-469.
Read now
D. Arumuga Perumal & AnoopK. Dass. (2014) Lattice Boltzmann Simulation of Two- and Three-Dimensional Incompressible Thermal Flows. Heat Transfer Engineering 35:14-15, pages 1320-1333.
Read now
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.
Read now
Kang Luo, Hong-Liang Yi & He-Ping Tan. (2014) Coupled Radiation and Mixed Convection in an Eccentric Annulus Using the Hybrid Strategy of Lattice Boltzmann-Meshless Method. Numerical Heat Transfer, Part B: Fundamentals 66:3, pages 243-267.
Read now
SubhashC. Mishra, Adnan Akhtar & Anshul Garg. (2014) Numerical Analysis of Rayleigh-Bénard Convection with and Without Volumetric Radiation. Numerical Heat Transfer, Part A: Applications 65:2, pages 144-164.
Read now
Mehaboob Basha & Che Sidik Nor Azwadi. (2013) Regularized Lattice Boltzmann Simulation of Laminar Mixed Convection in the Entrance Region of 2-D Channels. Numerical Heat Transfer, Part A: Applications 63:11, pages 867-878.
Read now
K. Lari, M. Baneshi, S.A.Gandjalikhan Nassab, A. Komiya & S. Maruyama. (2012) Numerical Study of Non-Gray Radiation and Natural Convection Using the Full-Spectrum k-Distribution Method. Numerical Heat Transfer, Part A: Applications 61:1, pages 61-84.
Read now
Tien-Mo Shih, Martinus Arie & Derrick Ko. (2011) Literature Survey of Numerical Heat Transfer (2000–2009): Part II. Numerical Heat Transfer, Part A: Applications 60:11-12, pages 883-1096.
Read now
A. Abidi, L. Kolsi, M.N. Borjini & H. Ben Aissia. (2011) Effect of Radiative Heat Transfer on Three-Dimensional Double Diffusive Natural Convection. Numerical Heat Transfer, Part A: Applications 60:9, pages 785-809.
Read now
Seok-Ki Choi & Seong-O Kim. (2011) Comparative Analysis of Thermal Models in the Lattice Boltzmann Method for the Simulation of Natural Convection in a Square Cavity. Numerical Heat Transfer, Part B: Fundamentals 60:2, pages 135-145.
Read now
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.
Read now
HamidReza Ebrahimi-Kebria, Masoud Darbandi & Seyed Farid Hosseinizadeh. (2011) Numerical Simulation of Low-Mach-Number Laminar Mixing and Reacting Flows Using a Dual-Purpose Pressure-Based Algorithm. Numerical Heat Transfer, Part B: Fundamentals 59:6, pages 495-514.
Read now
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.
Read now
S.F. Hosseinizadeh, M. Darbandi & M. Heidarnataj. (2010) Numerical Study of High Gradient Thermobuoyant Flow in a Tilted Cavity Using a Novel Non-Boussinesq Algorithm. Numerical Heat Transfer, Part A: Applications 58:12, pages 984-1003.
Read now
Seok-Ki Choi & Ching-Long Lin. (2010) A Simple Finite-Volume Formulation of the Lattice Boltzmann Method for Laminar and Turbulent Flows. Numerical Heat Transfer, Part B: Fundamentals 58:4, pages 242-261.
Read now
Pietro Asinari, SubhashC. Mishra & Romano Borchiellini. (2010) A Lattice Boltzmann Formulation for the Analysis of Radiative Heat Transfer Problems in a Participating Medium. Numerical Heat Transfer, Part B: Fundamentals 57:2, pages 126-146.
Read now
Atsushi Sakurai, SubhashC. Mishra & Shigenao Maruyama. (2010) 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. Numerical Heat Transfer, Part A: Applications 57:5, pages 346-368.
Read now

Articles from other publishers (59)

Raoudha Chaabane, Abdelmajid Jemni & Fethi Aloui. 2023. Energy and Exergy for Sustainable and Clean Environment, Volume 2. Energy and Exergy for Sustainable and Clean Environment, Volume 2 415 430 .
G. Chanakya & Pradeep Kumar. (2022) Effects of diffuse and collimated beam radiation on plume formation in natural convection within a cubical enclosure. International Journal of Heat and Mass Transfer 188, pages 122558.
Crossref
Mahdi Abaszadeh, Ali Safavinejad, Amin Amiri Delouei & Hossein Amiri. (2022) Analysis of radiative heat transfer in two-dimensional irregular geometries by developed immersed boundary–lattice Boltzmann method. Journal of Quantitative Spectroscopy and Radiative Transfer 280, pages 108086.
Crossref
M. Mohammadi & S.A. Gandjalikhan Nassab. (2021) Solution of radiative-convective heat transfer in irregular geometries using hybrid lattice Boltzmann-finite volume and immersed boundary method. International Communications in Heat and Mass Transfer 128, pages 105595.
Crossref
G. Chanakya & Pradeep Kumar. (2021) Effects of diffuse and collimated beam radiation on a symmetrical cooling case of natural convection. Thermal Science and Engineering Progress 25, pages 101006.
Crossref
Arman Nokhosteen & Sarvenaz Sobhansarbandi. (2021) Utilizing lattice Boltzmann method for heat transfer analysis in solar thermal systems: A review. Sustainable Energy Technologies and Assessments 46, pages 101264.
Crossref
Mohammed Bouanani, Abderrahmane Benbrik, Denis Lemonnier, Mohammed Cherifi & Rabiaa Soualmi. (2021) Natural Convection and Volumetric Radiation Interactions in a Concentric Square Annulus. Journal of Thermophysics and Heat Transfer 35:3, pages 547-559.
Crossref
Mohammad Lakhi & Ali Safavinejad. (2021) Numerical investigation of combined heat transfer (mixed convection-radiation) in 2D channel using the LBM. International Communications in Heat and Mass Transfer 126, pages 105368.
Crossref
Mohamed Amine Medebber, Belkacem Ould Said & Noureddine Retiel. (2021) Numerical Study of Combined Surface Radiation and Natural Convection in Vertical Conical Annular Enclosure. Defect and Diffusion Forum 408, pages 19-32.
Crossref
G. Chanakya & Pradeep Kumar. 2021. Recent Advances in Computational Mechanics and Simulations. Recent Advances in Computational Mechanics and Simulations 385 397 .
Mesut TEKKALMAZ. (2020) TURBULENT NATURAL CONVECTION AND RADIATION HEAT TRANSFER IN SQUARE ISOTROPIC SCATTERING MEDIUMİZOTROPİK SAÇILMA ORTAMLI KARE GEOMETRİ İÇİNDE TÜRBÜLANSLI DOĞAL TAŞINIM VE IŞINIM ISI TRANSFERİ. Isı Bilimi ve Tekniği Dergisi 40:2, pages 207-220.
Crossref
P. Ragupathi, S. Aravind, D. Sathish Kumar & G. Vignesh. (2020) A Numerical Investigation of Variably Heated Enclosure to Enhance its Heat Transfer Rate using CFD. IOP Conference Series: Materials Science and Engineering 923:1, pages 012065.
Crossref
Keerti Vardhan Sharma, Robert Straka & Frederico Wanderley Tavares. (2020) Current status of Lattice Boltzmann Methods applied to aerodynamic, aeroacoustic, and thermal flows. Progress in Aerospace Sciences 115, pages 100616.
Crossref
Keerti Vardhan Sharma, Robert Straka & Frederico Wanderley Tavares. (2019) Lattice Boltzmann Methods for Industrial Applications. Industrial & Engineering Chemistry Research 58:36, pages 16205-16234.
Crossref
Hashem Ahmadi Tighchi, Masoud Sobhani & Javad Abolfazli Esfahani. (2019) Lattice Boltzmann simulation of combined volumetric radiation/natural convection to consider optical properties of nanoparticles. Radiation Physics and Chemistry 159, pages 238-251.
Crossref
Masoud Sobhani, Hashem Ahmadi Tighchi & Javad Abolfazli Esfahani. (2019) Attenuation of radiative heat transfer in natural convection from a heated plate by scattering properties of Al2O3 nanofluid: LBM simulation. International Journal of Mechanical Sciences 156, pages 250-260.
Crossref
Mukul Parmananda, Amaresh Dalal & Ganesh Natarajan. (2019) Numerical appraisal of three low Mach number algorithms for radiative–convective flows in enclosures. Computers & Mathematics with Applications 77:8, pages 2162-2181.
Crossref
Masoud Sobhani, Hashem Ahmadi Tighchi & Javad Abolfazli Esfahani. (2018) Taguchi optimization of combined radiation/natural convection of participating medium in a cavity with a horizontal fin using LBM. Physica A: Statistical Mechanics and its Applications 509, pages 1062-1079.
Crossref
Mukul Parmananda, Amaresh Dalal & Ganesh Natarajan. (2018) Unified framework for buoyancy induced radiative-convective flow and heat transfer on hybrid unstructured meshes. International Journal of Heat and Mass Transfer 126, pages 908-925.
Crossref
P. Crnjac, L. Škerget, M. Hriberšek & J. Ravnik. (2018) BEM model for radiative transport phenomena in optically thick compressible viscous fluids. Engineering Analysis with Boundary Elements 96, pages 1-13.
Crossref
Majid Siavashi, Kasra Ghasemi, Reza Yousofvand & Shahram Derakhshan. (2018) Computational analysis of SWCNH nanofluid-based direct absorption solar collector with a metal sheet. Solar Energy 170, pages 252-262.
Crossref
Hashem Ahmadi Tighchi, Masoud Sobhani & Javad Abolfazli Esfahani. (2018) Effect of volumetric radiation on natural convection in a cavity with a horizontal fin using the lattice Boltzmann method. The European Physical Journal Plus 133:1.
Crossref
Raoudha Chaabane, Faouzi Askri, Abdelmajid Jemni & Sassi Ben Nasrallah. (2017) Numerical Study of Transient Convection With Volumetric Radiation Using an Hybrid Lattice Boltzmann Bhatnagar–Gross–Krook–Control Volume Finite Element Method. Journal of Heat Transfer 139:9.
Crossref
H. Ahmadi Tighchi & J. A. Esfahani. (2017) Combined Radiation/Natural Convection in a Participating Medium Using Novel Lattice Boltzmann Method. Journal of Thermophysics and Heat Transfer 31:3, pages 563-574.
Crossref
Yujia Sun, Xiaobing Zhang & John R. Howell. (2017) Assessment of different radiative transfer equation solvers for combined natural convection and radiation heat transfer problems. Journal of Quantitative Spectroscopy and Radiative Transfer 194, pages 31-46.
Crossref
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
Raoudha CHAABANE, Faouzi ASKRI, Abdelmajid JEMNI & Sassi BEN NASRALLAH. (2017) Analysis of Rayleigh-Bénard convection with thermal volumetric radiation using Lattice Boltzmann Formulation. Journal of Thermal Science and Technology 12:2, pages JTST0020-JTST0020.
Crossref
Bouchmel Mliki, Mohamed Ammar Abbassi, Ahmed Omri & Belkacem Zeghmati. (2016) Effects of nanoparticles Brownian motion in a linearly/sinusoidally heated cavity with MHD natural convection in the presence of uniform heat generation/absorption. Powder Technology 295, pages 69-83.
Crossref
A Mazgar & F Ben Nejma. (2016) Combined effect of natural convection and non-gray gas radiation with partial heating. Sādhanā 41:7, pages 805-815.
Crossref
Aritra Mukherjee, Arnab Lahiri & Subhash C. Mishra. (2016) Analyses of dual-phase lag heat conduction in 1-D cylindrical and spherical geometry – An application of the lattice Boltzmann method. International Journal of Heat and Mass Transfer 96, pages 627-642.
Crossref
B. Gera & R. K. Singh. (2016) Lattice Boltzmann Simulation of Natural Convection in a Differentially Heated Square Enclosure Containing Heat Generating Low-Prandtl Number Fluid. Heat Transfer-Asian Research 45:2, pages 181-198.
Crossref
Yong Zhang, Hongliang Yi & Heping Tan. (2016) Lattice Boltzmann method for one-dimensional vector radiative transfer. Optics Express 24:3, pages 2027.
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.
Crossref
Yan Su & Jane H. Davidson. (2015) A Non-Dimensional Lattice Boltzmann Method for direct and porous medium model simulations of 240-tube bundle heat exchangers in a solar storage tank. International Journal of Heat and Mass Transfer 85, pages 195-205.
Crossref
Krunal M. Gangawane, Ram P. Bharti & Surendra Kumar. (2015) Two-dimensional lattice Boltzmann simulation of natural convection in differentially heated square cavity: Effect of Prandtl and Rayleigh numbers. The Canadian Journal of Chemical Engineering 93:4, pages 766-780.
Crossref
B. Gera & R.K. Singh. (2015) Lattice Boltzmann Method Based Simulation of Natural Convection in Partially Open Enclosure. Heat Transfer-Asian Research 44:2, pages 154-171.
Crossref
Yong Zhang, Hong-Liang Yi & He-Ping Tan. (2015) Short-pulsed laser propagation in a participating slab with Fresnel surfaces by lattice Boltzmann method. International Journal of Heat and Mass Transfer 80, pages 717-726.
Crossref
Sofen K. Jena, Swarup K. Mahapatra & Amitava Sarkar. (2015) Interaction of Participating Medium Radiation with Thermosolutal Convection-A Critical Appraisal. Heat Transfer-Asian Research 44:1, pages 39-65.
Crossref
Yan Su. (2014) Mixing Two Fluids of Different Densities in a Solar Storage Tank by Lattice Boltzmann Method. Advanced Materials Research 1051, pages 891-895.
Crossref
Rohan Ranganath Vernekar & Subhash C. Mishra. (2014) Analysis of transport of short-pulse radiation in a participating medium using lattice Boltzmann method. International Journal of Heat and Mass Transfer 77, pages 218-229.
Crossref
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.
Crossref
Kang Luo, Hong-Liang Yi & He-Ping Tan. (2014) Radiation effects on bifurcation and dual solutions in transient natural convection in a horizontal annulus. AIP Advances 4:5.
Crossref
Yong Zhang, Hong-Liang Yi & He-Ping Tan. (2014) The lattice Boltzmann method for one-dimensional transient radiative transfer in graded index gray medium. Journal of Quantitative Spectroscopy and Radiative Transfer 137, pages 1-12.
Crossref
Subhash C. Mishra & Harsh Sahai. (2014) Analysis of non-Fourier conduction and volumetric radiation in a concentric spherical shell using lattice Boltzmann method and finite volume method. International Journal of Heat and Mass Transfer 68, pages 51-66.
Crossref
Yong Zhang, Hongliang Yi & Heping Tan. (2013) One-dimensional transient radiative transfer by lattice Boltzmann method. Optics Express 21:21, pages 24532.
Crossref
F. Moufekkir, M. A. Moussaoui, A. Mezrhab & H. Naji. (2013) Computation of coupled double-diffusive convection–radiation including lattice Boltzmann simulation of fluid flow. Journal of Fluid Mechanics 728, pages 146-162.
Crossref
Subhash C. Mishra & Harsh Sahai. (2013) Analysis of non-Fourier conduction and radiation in a cylindrical medium using lattice Boltzmann method and finite volume method. International Journal of Heat and Mass Transfer 61, pages 41-55.
Crossref
GH.R. Kefayati. (2013) Effect of a magnetic field on natural convection in an open cavity subjugated to water/alumina nanofluid using Lattice Boltzmann method. International Communications in Heat and Mass Transfer 40, pages 67-77.
Crossref
GholamReza Kefayati, Mofid Gorji, Hasan Sajjadi & Davood Domiri Ganji. (2012) Investigation of Prandtl number effect on natural convection MHD in an open cavity by lattice Boltzmann method. Engineering Computations 30:1, pages 97-116.
Crossref
Subhash C. Mishra & Rohan Ranganath Vernekar. (2012) Analysis of transport of collimated radiation in a participating media using the lattice Boltzmann method. Journal of Quantitative Spectroscopy and Radiative Transfer 113:16, pages 2088-2099.
Crossref
Subhash C. Mishra, Man Young Kim & Shigenao Maruyama. (2012) Performance evaluation of four radiative transfer methods in solving multi-dimensional radiation and/or conduction heat transfer problems. International Journal of Heat and Mass Transfer 55:21-22, pages 5819-5835.
Crossref
A. Abouei Mehrizi, M. Farhadi, H. Hassanzade Afroozi, K. Sedighi & A.A. Rabienataj Darz. (2012) Mixed convection heat transfer in a ventilated cavity with hot obstacle: Effect of nanofluid and outlet port location. International Communications in Heat and Mass Transfer 39:7, pages 1000-1008.
Crossref
F. Moufekkir, M.A. Moussaoui, A. Mezrhab, D. Lemonnier & H. Naji. (2012) MRT-lattice Boltzmann computations of natural convection and volumetric radiation in a tilted square enclosure. International Journal of Thermal Sciences 54, pages 125-141.
Crossref
H. Bararnia, Soheil Soleimani & D.D. Ganji. (2011) Lattice Boltzmann simulation of natural convection around a horizontal elliptic cylinder inside a square enclosure. International Communications in Heat and Mass Transfer 38:10, pages 1436-1442.
Crossref
K. Lari, M. Baneshi, S.A. Gandjalikhan Nassab, A. Komiya & S. Maruyama. (2011) Combined heat transfer of radiation and natural convection in a square cavity containing participating gases. International Journal of Heat and Mass Transfer 54:23-24, pages 5087-5099.
Crossref
GH.R. Kefayati, S.F. Hosseinizadeh, M. Gorji & H. Sajjadi. (2011) Lattice Boltzmann simulation of natural convection in tall enclosures using water/SiO2 nanofluid. International Communications in Heat and Mass Transfer 38:6, pages 798-805.
Crossref
Antonio Fabio Di Rienzo, Pietro Asinari, Romano Borchiellini & Sunhash C. Mishra. (2011) Improved angular discretization and error analysis of the lattice Boltzmann method for solving radiative heat transfer in a participating medium. International Journal of Numerical Methods for Heat & Fluid Flow 21:5, pages 640-662.
Crossref
Bittagopal Mondal & Xianguo Li. (2010) Effect of volumetric radiation on natural convection in a square cavity using lattice Boltzmann method with non-uniform lattices. International Journal of Heat and Mass Transfer 53:21-22, pages 4935-4948.
Crossref
Hao-Chun Zhang & He-Ping Tan. (2009) Evaluation of numerical scattering in finite volume method for solving radiative transfer equation by a central laser incidence model. Journal of Quantitative Spectroscopy and Radiative Transfer 110:18, pages 1965-1977.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.