Hybrid lattice Boltzmann––Finite difference formulation for combined heat transfer problems by 3D natural convection and surface thermal radiation

Research output: Contribution to journalArticle

Abstract

In this study, a hybrid model for 3D natural convection combined with surface thermal radiation in a closed differentially heated cube was developed. Within this model, numerical procedure for fluid flow was considered in terms of the lattice Boltzmann method under Bhatnagar-Gross-Krook approximation with D3Q19 scheme. On the other hand, unsteady three-dimensional energy equation was solved by means of the finite difference technique. Developed hybrid approach was validated against experimental and up to date numerical data. Mathematical modelling was conducted for two-dimensional and three-dimensional problem formulations under variation of Rayleigh number, conduction-radiation number and surface emissivity. It was found that discrepancy between 2D and 3D results was increased with an enhancement in the radiation heat transfer rate. Computational performance of hybrid lattice Boltzmann method was several times higher than conventional CFD approach.

Original languageEnglish
Article number105447
JournalInternational Journal of Mechanical Sciences
Volume173
DOIs
Publication statusPublished - 1 May 2020

Fingerprint

Heat radiation
thermal radiation
Natural convection
free convection
heat transfer
Heat transfer
formulations
radiation
Rayleigh number
charge flow devices
emissivity
fluid flow
Flow of fluids
Computational fluid dynamics
Radiation
conduction
augmentation
approximation
energy

Keywords

  • 3D natural convection
  • BGK approximation
  • Finite difference method
  • Hybrid lattice Boltzmann
  • Surface thermal radiation

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

@article{8aef9a4b945e45a09c2dde2dc720a36d,
title = "Hybrid lattice Boltzmann––Finite difference formulation for combined heat transfer problems by 3D natural convection and surface thermal radiation",
abstract = "In this study, a hybrid model for 3D natural convection combined with surface thermal radiation in a closed differentially heated cube was developed. Within this model, numerical procedure for fluid flow was considered in terms of the lattice Boltzmann method under Bhatnagar-Gross-Krook approximation with D3Q19 scheme. On the other hand, unsteady three-dimensional energy equation was solved by means of the finite difference technique. Developed hybrid approach was validated against experimental and up to date numerical data. Mathematical modelling was conducted for two-dimensional and three-dimensional problem formulations under variation of Rayleigh number, conduction-radiation number and surface emissivity. It was found that discrepancy between 2D and 3D results was increased with an enhancement in the radiation heat transfer rate. Computational performance of hybrid lattice Boltzmann method was several times higher than conventional CFD approach.",
keywords = "3D natural convection, BGK approximation, Finite difference method, Hybrid lattice Boltzmann, Surface thermal radiation",
author = "A. Nee",
year = "2020",
month = "5",
day = "1",
doi = "10.1016/j.ijmecsci.2020.105447",
language = "English",
volume = "173",
journal = "International Journal of Mechanical Sciences",
issn = "0020-7403",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Hybrid lattice Boltzmann––Finite difference formulation for combined heat transfer problems by 3D natural convection and surface thermal radiation

AU - Nee, A.

PY - 2020/5/1

Y1 - 2020/5/1

N2 - In this study, a hybrid model for 3D natural convection combined with surface thermal radiation in a closed differentially heated cube was developed. Within this model, numerical procedure for fluid flow was considered in terms of the lattice Boltzmann method under Bhatnagar-Gross-Krook approximation with D3Q19 scheme. On the other hand, unsteady three-dimensional energy equation was solved by means of the finite difference technique. Developed hybrid approach was validated against experimental and up to date numerical data. Mathematical modelling was conducted for two-dimensional and three-dimensional problem formulations under variation of Rayleigh number, conduction-radiation number and surface emissivity. It was found that discrepancy between 2D and 3D results was increased with an enhancement in the radiation heat transfer rate. Computational performance of hybrid lattice Boltzmann method was several times higher than conventional CFD approach.

AB - In this study, a hybrid model for 3D natural convection combined with surface thermal radiation in a closed differentially heated cube was developed. Within this model, numerical procedure for fluid flow was considered in terms of the lattice Boltzmann method under Bhatnagar-Gross-Krook approximation with D3Q19 scheme. On the other hand, unsteady three-dimensional energy equation was solved by means of the finite difference technique. Developed hybrid approach was validated against experimental and up to date numerical data. Mathematical modelling was conducted for two-dimensional and three-dimensional problem formulations under variation of Rayleigh number, conduction-radiation number and surface emissivity. It was found that discrepancy between 2D and 3D results was increased with an enhancement in the radiation heat transfer rate. Computational performance of hybrid lattice Boltzmann method was several times higher than conventional CFD approach.

KW - 3D natural convection

KW - BGK approximation

KW - Finite difference method

KW - Hybrid lattice Boltzmann

KW - Surface thermal radiation

UR - http://www.scopus.com/inward/record.url?scp=85078230848&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85078230848&partnerID=8YFLogxK

U2 - 10.1016/j.ijmecsci.2020.105447

DO - 10.1016/j.ijmecsci.2020.105447

M3 - Article

AN - SCOPUS:85078230848

VL - 173

JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

SN - 0020-7403

M1 - 105447

ER -