The present numerical study is devoted to investigate the mixed convection flow and heat transfer in a lid-driven cavity with wavy bottom surface. The cavity upper wall is moving with a uniform velocity by unity and the other walls are no slip. The cavity vertical walls are insulated while the upper surface is maintained at a uniform temperature higher than the wavy bottom surface. The physical problem is represented mathematically by a set of governing equations and the developed mathematical model is solved by employing Galerkin weighted residual method of finite element formulation. The wide ranges of governing parameters, i. e., the Reynolds number (Re), the Grshof number (Gr) and the number of undulations (λ) on the flow structure and heat transfer characteristics are investigated in detail. It is found that these parameters have significant effect on the flow fields; temperature distributions and heat transfer in the cavity. Furthermore, the trend of skin friction and Nusselt number for different values of the aforementioned parameters are presented in this investigation.
| Published in | American Journal of Applied Mathematics (Volume 1, Issue 5) |
| DOI | 10.11648/j.ajam.20130105.11 |
| Page(s) | 92-101 |
| 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), 2024. Published by Science Publishing Group |
Mixed Convection, Wavy Surface, Lid Driven Cavity, Heat Transfer, Numerical Study
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APA Style
Litan Kumar Saha, Monotos Chandra Somadder, K. M. Salah Uddin. (2014). Mixed Convection Heat Transfer in a Lid Driven Cavity with Wavy Bottom Surface. American Journal of Applied Mathematics, 1(5), 92-101. https://doi.org/10.11648/j.ajam.20130105.11
ACS Style
Litan Kumar Saha; Monotos Chandra Somadder; K. M. Salah Uddin. Mixed Convection Heat Transfer in a Lid Driven Cavity with Wavy Bottom Surface. Am. J. Appl. Math. 2014, 1(5), 92-101. doi: 10.11648/j.ajam.20130105.11
AMA Style
Litan Kumar Saha, Monotos Chandra Somadder, K. M. Salah Uddin. Mixed Convection Heat Transfer in a Lid Driven Cavity with Wavy Bottom Surface. Am J Appl Math. 2014;1(5):92-101. doi: 10.11648/j.ajam.20130105.11
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Download@article{10.11648/j.ajam.20130105.11,
author = {Litan Kumar Saha and Monotos Chandra Somadder and K. M. Salah Uddin},
title = {Mixed Convection Heat Transfer in a Lid Driven Cavity with Wavy Bottom Surface},
journal = {American Journal of Applied Mathematics},
volume = {1},
number = {5},
pages = {92-101},
doi = {10.11648/j.ajam.20130105.11},
url = {https://doi.org/10.11648/j.ajam.20130105.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20130105.11},
abstract = {The present numerical study is devoted to investigate the mixed convection flow and heat transfer in a lid-driven cavity with wavy bottom surface. The cavity upper wall is moving with a uniform velocity by unity and the other walls are no slip. The cavity vertical walls are insulated while the upper surface is maintained at a uniform temperature higher than the wavy bottom surface. The physical problem is represented mathematically by a set of governing equations and the developed mathematical model is solved by employing Galerkin weighted residual method of finite element formulation. The wide ranges of governing parameters, i. e., the Reynolds number (Re), the Grshof number (Gr) and the number of undulations (λ) on the flow structure and heat transfer characteristics are investigated in detail. It is found that these parameters have significant effect on the flow fields; temperature distributions and heat transfer in the cavity. Furthermore, the trend of skin friction and Nusselt number for different values of the aforementioned parameters are presented in this investigation.},
year = {2014}
}
TY - JOUR T1 - Mixed Convection Heat Transfer in a Lid Driven Cavity with Wavy Bottom Surface AU - Litan Kumar Saha AU - Monotos Chandra Somadder AU - K. M. Salah Uddin Y1 - 2014/01/30 PY - 2014 N1 - https://doi.org/10.11648/j.ajam.20130105.11 DO - 10.11648/j.ajam.20130105.11 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 92 EP - 101 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20130105.11 AB - The present numerical study is devoted to investigate the mixed convection flow and heat transfer in a lid-driven cavity with wavy bottom surface. The cavity upper wall is moving with a uniform velocity by unity and the other walls are no slip. The cavity vertical walls are insulated while the upper surface is maintained at a uniform temperature higher than the wavy bottom surface. The physical problem is represented mathematically by a set of governing equations and the developed mathematical model is solved by employing Galerkin weighted residual method of finite element formulation. The wide ranges of governing parameters, i. e., the Reynolds number (Re), the Grshof number (Gr) and the number of undulations (λ) on the flow structure and heat transfer characteristics are investigated in detail. It is found that these parameters have significant effect on the flow fields; temperature distributions and heat transfer in the cavity. Furthermore, the trend of skin friction and Nusselt number for different values of the aforementioned parameters are presented in this investigation. VL - 1 IS - 5 ER -
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