Numerical study of flow friction and thermal behavior on a moving lid of a triangular cavity with various aspect ratios has been discussed using a Thermal Lattice Boltzmann Method (TLBM). To analyze the combined force and free convection, known as mixed convection, flows and heat transfer process in a lid driven triangular cavity with various aspect ratios AR(=L/H)=0.5, 1.0 and 2.0 are taken into account in the present study. The results are presented as stream function in terms of velocity, average heat transfer rate in terms of Nusselt number (Nu), and friction on moving lid of cavity for different Reynolds number (Re) as well as buoyancy parameter (λ). The heat transfer rate and friction on moving lid increased and decreased significantly with increasing Reynolds number and aspect ratios but they are linearly and very slowly changed with buoyancy effects. Similarly, the fluid flow behavior significantly changed with higher Reynolds number and aspect ratios compare to lower Re and AR. In addition, the less friction and more heat transfer occurred at case of free convection dominant case compare to forced convection dominant case. Similar behavior is observed for fluid flow analysis inside cavity. The model is validated by other numerical scheme and a very good agreement is found.
| Published in |
American Journal of Applied Mathematics (Volume 3, Issue 1-1)
This article belongs to the Special Issue Fluid Flow and Heat Transfer Inside a Closed Domain |
| DOI | 10.11648/j.ajam.s.2015030101.11 |
| Page(s) | 1-7 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2014. Published by Science Publishing Group |
Lattice-Boltzmann, Heat Transfer, Friction Factor, Richardson Number, Reynolds Number, Stream Function
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APA Style
M. A. Taher, Litan Kumar Saha, Y. W. Lee. (2014). Effects of Aspect Ratios on Flow Friction and Thermal Behavior Inside a Close Domain Using Lattice Boltzmann Method. American Journal of Applied Mathematics, 3(1-1), 1-7. https://doi.org/10.11648/j.ajam.s.2015030101.11
ACS Style
M. A. Taher; Litan Kumar Saha; Y. W. Lee. Effects of Aspect Ratios on Flow Friction and Thermal Behavior Inside a Close Domain Using Lattice Boltzmann Method. Am. J. Appl. Math. 2014, 3(1-1), 1-7. doi: 10.11648/j.ajam.s.2015030101.11
AMA Style
M. A. Taher, Litan Kumar Saha, Y. W. Lee. Effects of Aspect Ratios on Flow Friction and Thermal Behavior Inside a Close Domain Using Lattice Boltzmann Method. Am J Appl Math. 2014;3(1-1):1-7. doi: 10.11648/j.ajam.s.2015030101.11
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Download@article{10.11648/j.ajam.s.2015030101.11,
author = {M. A. Taher and Litan Kumar Saha and Y. W. Lee},
title = {Effects of Aspect Ratios on Flow Friction and Thermal Behavior Inside a Close Domain Using Lattice Boltzmann Method},
journal = {American Journal of Applied Mathematics},
volume = {3},
number = {1-1},
pages = {1-7},
doi = {10.11648/j.ajam.s.2015030101.11},
url = {https://doi.org/10.11648/j.ajam.s.2015030101.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.s.2015030101.11},
abstract = {Numerical study of flow friction and thermal behavior on a moving lid of a triangular cavity with various aspect ratios has been discussed using a Thermal Lattice Boltzmann Method (TLBM). To analyze the combined force and free convection, known as mixed convection, flows and heat transfer process in a lid driven triangular cavity with various aspect ratios AR(=L/H)=0.5, 1.0 and 2.0 are taken into account in the present study. The results are presented as stream function in terms of velocity, average heat transfer rate in terms of Nusselt number (Nu), and friction on moving lid of cavity for different Reynolds number (Re) as well as buoyancy parameter (λ). The heat transfer rate and friction on moving lid increased and decreased significantly with increasing Reynolds number and aspect ratios but they are linearly and very slowly changed with buoyancy effects. Similarly, the fluid flow behavior significantly changed with higher Reynolds number and aspect ratios compare to lower Re and AR. In addition, the less friction and more heat transfer occurred at case of free convection dominant case compare to forced convection dominant case. Similar behavior is observed for fluid flow analysis inside cavity. The model is validated by other numerical scheme and a very good agreement is found.},
year = {2014}
}
TY - JOUR T1 - Effects of Aspect Ratios on Flow Friction and Thermal Behavior Inside a Close Domain Using Lattice Boltzmann Method AU - M. A. Taher AU - Litan Kumar Saha AU - Y. W. Lee Y1 - 2014/11/29 PY - 2014 N1 - https://doi.org/10.11648/j.ajam.s.2015030101.11 DO - 10.11648/j.ajam.s.2015030101.11 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 1 EP - 7 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.s.2015030101.11 AB - Numerical study of flow friction and thermal behavior on a moving lid of a triangular cavity with various aspect ratios has been discussed using a Thermal Lattice Boltzmann Method (TLBM). To analyze the combined force and free convection, known as mixed convection, flows and heat transfer process in a lid driven triangular cavity with various aspect ratios AR(=L/H)=0.5, 1.0 and 2.0 are taken into account in the present study. The results are presented as stream function in terms of velocity, average heat transfer rate in terms of Nusselt number (Nu), and friction on moving lid of cavity for different Reynolds number (Re) as well as buoyancy parameter (λ). The heat transfer rate and friction on moving lid increased and decreased significantly with increasing Reynolds number and aspect ratios but they are linearly and very slowly changed with buoyancy effects. Similarly, the fluid flow behavior significantly changed with higher Reynolds number and aspect ratios compare to lower Re and AR. In addition, the less friction and more heat transfer occurred at case of free convection dominant case compare to forced convection dominant case. Similar behavior is observed for fluid flow analysis inside cavity. The model is validated by other numerical scheme and a very good agreement is found. VL - 3 IS - 1-1 ER -
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