Using of multi-phase thermal model of the lattice Boltzmann method for simulation of two-phase Rayleigh–Bénard convective heat transfer

In this study, the neutral scalar thermal model is presented for single-phase and so, a single-phase Rayleigh–Bénard is investigated. The Shan-Chen model is expressed in the isothermal state, and by combining the two models, the mixed Shan-Chen thermal method is presented. Then, using a mixed model,...

Full description

Saved in:
Bibliographic Details
Main Authors: Murtadha M. Al-Zahiwat, Ihab Omar, Shahram Babadoust, Laith S. Sabri, Arian Yazdkhsti, S. Mohammad Sajadi, Abbas Deriszadeh, Nafiseh Emami
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Results in Chemistry
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211715624006714
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832583115686543360
author Murtadha M. Al-Zahiwat
Ihab Omar
Shahram Babadoust
Laith S. Sabri
Arian Yazdkhsti
S. Mohammad Sajadi
Abbas Deriszadeh
Nafiseh Emami
author_facet Murtadha M. Al-Zahiwat
Ihab Omar
Shahram Babadoust
Laith S. Sabri
Arian Yazdkhsti
S. Mohammad Sajadi
Abbas Deriszadeh
Nafiseh Emami
author_sort Murtadha M. Al-Zahiwat
collection DOAJ
description In this study, the neutral scalar thermal model is presented for single-phase and so, a single-phase Rayleigh–Bénard is investigated. The Shan-Chen model is expressed in the isothermal state, and by combining the two models, the mixed Shan-Chen thermal method is presented. Then, using a mixed model, a two-phase Rayleigh–Bénard with the thermal Shan-Chen method is proposed. Two-phase Rayleigh–Bénard convective heat transfer is simulated at the relatively high Rayleigh numbers (105), different Capillary numbers (10−3 to 10−4), and also, various ε parameters (parameters related to the temperature difference and thermal expansion). In two-phase Rayleigh–Bénard convective heat transfer increasing the Rayleigh number leads to the increment of Rayleigh–Bénard convective heat transfer between the hot and cold wall and the temperature gradient enhances in the vicinity of the upper wall, lower wall, and interface. It is worth mentioning, that in the two-phase Rayleigh–Bénard problem, the variations of the interface are changed only by changing the thermal expansion coefficient and the temperature difference between the two walls. The results show that the mixed model can simulate two-phase thermal flows. The stability of this method is the same as the multi-phase isothermal models, and it can be applied well for different state equations and relatively high Rayleigh numbers.
format Article
id doaj-art-bac385d485384d4781e3a57a1cd93728
institution Kabale University
issn 2211-7156
language English
publishDate 2025-01-01
publisher Elsevier
record_format Article
series Results in Chemistry
spelling doaj-art-bac385d485384d4781e3a57a1cd937282025-01-29T05:00:46ZengElsevierResults in Chemistry2211-71562025-01-0113101975Using of multi-phase thermal model of the lattice Boltzmann method for simulation of two-phase Rayleigh–Bénard convective heat transferMurtadha M. Al-Zahiwat0Ihab Omar1Shahram Babadoust2Laith S. Sabri3Arian Yazdkhsti4S. Mohammad Sajadi5Abbas Deriszadeh6Nafiseh Emami7Department of Chemical engineering, College of Engineering, University of Misan, Amarah, IraqAir Conditioning Engineering Department, Faculty of Engineering, Warith Al-Anbiyaa University, Karbala 56001, IraqDepartment of Medical Biochemical Analysis, Cihan University-Erbil, Erbil, Kurdistan Region, IraqDepartment of Chemical Engineering, University of Technology- Iraq, Baghdad, IraqDepartment of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, IranDepartment of Chemistry, Payam e Noor University, Saqqez Branch, Saqqez, Kurdistan, IranDepartment of Chemical Engineering, University of Sistan and Baluchestan, Zahedan, IranDepartment of Chemical Engineering, Faculty of Engineering, Isfahan university, Iran; Corresponding author.In this study, the neutral scalar thermal model is presented for single-phase and so, a single-phase Rayleigh–Bénard is investigated. The Shan-Chen model is expressed in the isothermal state, and by combining the two models, the mixed Shan-Chen thermal method is presented. Then, using a mixed model, a two-phase Rayleigh–Bénard with the thermal Shan-Chen method is proposed. Two-phase Rayleigh–Bénard convective heat transfer is simulated at the relatively high Rayleigh numbers (105), different Capillary numbers (10−3 to 10−4), and also, various ε parameters (parameters related to the temperature difference and thermal expansion). In two-phase Rayleigh–Bénard convective heat transfer increasing the Rayleigh number leads to the increment of Rayleigh–Bénard convective heat transfer between the hot and cold wall and the temperature gradient enhances in the vicinity of the upper wall, lower wall, and interface. It is worth mentioning, that in the two-phase Rayleigh–Bénard problem, the variations of the interface are changed only by changing the thermal expansion coefficient and the temperature difference between the two walls. The results show that the mixed model can simulate two-phase thermal flows. The stability of this method is the same as the multi-phase isothermal models, and it can be applied well for different state equations and relatively high Rayleigh numbers.http://www.sciencedirect.com/science/article/pii/S2211715624006714Multi-phase thermal flowLattice Boltzmann methodRayleigh–Bénard
spellingShingle Murtadha M. Al-Zahiwat
Ihab Omar
Shahram Babadoust
Laith S. Sabri
Arian Yazdkhsti
S. Mohammad Sajadi
Abbas Deriszadeh
Nafiseh Emami
Using of multi-phase thermal model of the lattice Boltzmann method for simulation of two-phase Rayleigh–Bénard convective heat transfer
Results in Chemistry
Multi-phase thermal flow
Lattice Boltzmann method
Rayleigh–Bénard
title Using of multi-phase thermal model of the lattice Boltzmann method for simulation of two-phase Rayleigh–Bénard convective heat transfer
title_full Using of multi-phase thermal model of the lattice Boltzmann method for simulation of two-phase Rayleigh–Bénard convective heat transfer
title_fullStr Using of multi-phase thermal model of the lattice Boltzmann method for simulation of two-phase Rayleigh–Bénard convective heat transfer
title_full_unstemmed Using of multi-phase thermal model of the lattice Boltzmann method for simulation of two-phase Rayleigh–Bénard convective heat transfer
title_short Using of multi-phase thermal model of the lattice Boltzmann method for simulation of two-phase Rayleigh–Bénard convective heat transfer
title_sort using of multi phase thermal model of the lattice boltzmann method for simulation of two phase rayleigh benard convective heat transfer
topic Multi-phase thermal flow
Lattice Boltzmann method
Rayleigh–Bénard
url http://www.sciencedirect.com/science/article/pii/S2211715624006714
work_keys_str_mv AT murtadhamalzahiwat usingofmultiphasethermalmodelofthelatticeboltzmannmethodforsimulationoftwophaserayleighbenardconvectiveheattransfer
AT ihabomar usingofmultiphasethermalmodelofthelatticeboltzmannmethodforsimulationoftwophaserayleighbenardconvectiveheattransfer
AT shahrambabadoust usingofmultiphasethermalmodelofthelatticeboltzmannmethodforsimulationoftwophaserayleighbenardconvectiveheattransfer
AT laithssabri usingofmultiphasethermalmodelofthelatticeboltzmannmethodforsimulationoftwophaserayleighbenardconvectiveheattransfer
AT arianyazdkhsti usingofmultiphasethermalmodelofthelatticeboltzmannmethodforsimulationoftwophaserayleighbenardconvectiveheattransfer
AT smohammadsajadi usingofmultiphasethermalmodelofthelatticeboltzmannmethodforsimulationoftwophaserayleighbenardconvectiveheattransfer
AT abbasderiszadeh usingofmultiphasethermalmodelofthelatticeboltzmannmethodforsimulationoftwophaserayleighbenardconvectiveheattransfer
AT nafisehemami usingofmultiphasethermalmodelofthelatticeboltzmannmethodforsimulationoftwophaserayleighbenardconvectiveheattransfer