Lattice Boltzmann Modelling of Natural Convection Problems in a Cavity with a Different Wall Temperature

In this study, the cyclic natural convection problem in a square enclosure is modeled using the Lattice Boltzmann Method (LBM) under laminar flow conditions. Four different combinations of boundary conditions are employed to create cases. These cases are denoted as HHHC (Horizontal Hot Horizontal Co...

Full description

Saved in:
Bibliographic Details
Main Authors: Özlem Yalçın, Erman Aslan
Format: Article
Language:English
Published: Sakarya University 2025-04-01
Series:Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/4501998
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849314085523423232
author Özlem Yalçın
Erman Aslan
author_facet Özlem Yalçın
Erman Aslan
author_sort Özlem Yalçın
collection DOAJ
description In this study, the cyclic natural convection problem in a square enclosure is modeled using the Lattice Boltzmann Method (LBM) under laminar flow conditions. Four different combinations of boundary conditions are employed to create cases. These cases are denoted as HHHC (Horizontal Hot Horizontal Cold), HHVC (Horizontal Hot Vertical Cold), VHHC (Vertical Hot Horizontal Cold), and VHVC (Vertical Hot Vertical Cold). Four Rayleigh numbers have been utilized to represent laminar flow conditions, namely Ra=104, 105, 106, and 107. For validation purposes, the well-validated finite volume method-based commercial code Ansys-Fluent is employed. In the VHVC model and at the highest Rayleigh number, the results obtained with LBM were compared to and validated against the results obtained with the finite volume method. Nusselt numbers are compared for the four cases based on Rayleigh numbers, and the case with highest heat transfer identified. Cases of HHHC and VHVC have produced the lowest and highest Nusselt number, respectively.
format Article
id doaj-art-d210d12e847341ce89f61271c19498d7
institution Kabale University
issn 2147-835X
language English
publishDate 2025-04-01
publisher Sakarya University
record_format Article
series Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
spelling doaj-art-d210d12e847341ce89f61271c19498d72025-08-20T03:52:33ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2025-04-0129215115910.16984/saufenbilder.161545728Lattice Boltzmann Modelling of Natural Convection Problems in a Cavity with a Different Wall TemperatureÖzlem Yalçın0https://orcid.org/0000-0001-9354-1671Erman Aslan1https://orcid.org/0000-0001-8595-6092ISTANBUL GELISIM UNIVERSITYKOCAELI UNIVERSITYIn this study, the cyclic natural convection problem in a square enclosure is modeled using the Lattice Boltzmann Method (LBM) under laminar flow conditions. Four different combinations of boundary conditions are employed to create cases. These cases are denoted as HHHC (Horizontal Hot Horizontal Cold), HHVC (Horizontal Hot Vertical Cold), VHHC (Vertical Hot Horizontal Cold), and VHVC (Vertical Hot Vertical Cold). Four Rayleigh numbers have been utilized to represent laminar flow conditions, namely Ra=104, 105, 106, and 107. For validation purposes, the well-validated finite volume method-based commercial code Ansys-Fluent is employed. In the VHVC model and at the highest Rayleigh number, the results obtained with LBM were compared to and validated against the results obtained with the finite volume method. Nusselt numbers are compared for the four cases based on Rayleigh numbers, and the case with highest heat transfer identified. Cases of HHHC and VHVC have produced the lowest and highest Nusselt number, respectively.https://dergipark.org.tr/en/download/article-file/4501998lattice boltzmann methodnatural convectioncomputational fluid dynamicslaminar flownusselt numberdoğal taşınımhesaplamalı akışkanlar dinamiğilaminer akışnusselt sayısılattice boltzmann metodu
spellingShingle Özlem Yalçın
Erman Aslan
Lattice Boltzmann Modelling of Natural Convection Problems in a Cavity with a Different Wall Temperature
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
lattice boltzmann method
natural convection
computational fluid dynamics
laminar flow
nusselt number
doğal taşınım
hesaplamalı akışkanlar dinamiği
laminer akış
nusselt sayısı
lattice boltzmann metodu
title Lattice Boltzmann Modelling of Natural Convection Problems in a Cavity with a Different Wall Temperature
title_full Lattice Boltzmann Modelling of Natural Convection Problems in a Cavity with a Different Wall Temperature
title_fullStr Lattice Boltzmann Modelling of Natural Convection Problems in a Cavity with a Different Wall Temperature
title_full_unstemmed Lattice Boltzmann Modelling of Natural Convection Problems in a Cavity with a Different Wall Temperature
title_short Lattice Boltzmann Modelling of Natural Convection Problems in a Cavity with a Different Wall Temperature
title_sort lattice boltzmann modelling of natural convection problems in a cavity with a different wall temperature
topic lattice boltzmann method
natural convection
computational fluid dynamics
laminar flow
nusselt number
doğal taşınım
hesaplamalı akışkanlar dinamiği
laminer akış
nusselt sayısı
lattice boltzmann metodu
url https://dergipark.org.tr/en/download/article-file/4501998
work_keys_str_mv AT ozlemyalcın latticeboltzmannmodellingofnaturalconvectionproblemsinacavitywithadifferentwalltemperature
AT ermanaslan latticeboltzmannmodellingofnaturalconvectionproblemsinacavitywithadifferentwalltemperature