In the present study the problem of mixed convection flow in the presence of magnetic field in a lid-driven square cavity with internal heat generation or absorption and uniform heating of bottom wall were investigated numerically. The square cavity vertical walls are maintained at cold temperature while the upper wall is insulated. The physical problem is then expressed mathematically by a set of governing equations and the developed mathematical model is solved by employing Galerkin weighted residual method of finite element formulation. Effects of variations of Richardson number, Hartmann number and heat generation or absorption parameter on flow structure and heat transfer rate (Nuesselt number) were studied in details. The significant reduction in the average Nusselt number were produced as the strength of the applied magnetic field was increased. In addition, heat generation predicted to decrease the average Nusselt number whereas heat absorption increases it.
| 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.2015030101.13 |
| Page(s) | 20-29 |
| 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 |
Mixed Convection, Lid Driven Cavity, Heat Transfer, Numerical Study, Heat Generation/Absorption
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APA Style
Litan Kumar Saha, K. M. Salah Uddin, M. A. Taher. (2014). Effect of Internal Heat Generation or Absorption on MHD Mixed Convection Flow in a Lid Driven Cavity. American Journal of Applied Mathematics, 3(1-1), 20-29. https://doi.org/10.11648/j.ajam.s.2015030101.13
ACS Style
Litan Kumar Saha; K. M. Salah Uddin; M. A. Taher. Effect of Internal Heat Generation or Absorption on MHD Mixed Convection Flow in a Lid Driven Cavity. Am. J. Appl. Math. 2014, 3(1-1), 20-29. doi: 10.11648/j.ajam.s.2015030101.13
AMA Style
Litan Kumar Saha, K. M. Salah Uddin, M. A. Taher. Effect of Internal Heat Generation or Absorption on MHD Mixed Convection Flow in a Lid Driven Cavity. Am J Appl Math. 2014;3(1-1):20-29. doi: 10.11648/j.ajam.s.2015030101.13
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Download@article{10.11648/j.ajam.s.2015030101.13,
author = {Litan Kumar Saha and K. M. Salah Uddin and M. A. Taher},
title = {Effect of Internal Heat Generation or Absorption on MHD Mixed Convection Flow in a Lid Driven Cavity},
journal = {American Journal of Applied Mathematics},
volume = {3},
number = {1-1},
pages = {20-29},
doi = {10.11648/j.ajam.s.2015030101.13},
url = {https://doi.org/10.11648/j.ajam.s.2015030101.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.s.2015030101.13},
abstract = {In the present study the problem of mixed convection flow in the presence of magnetic field in a lid-driven square cavity with internal heat generation or absorption and uniform heating of bottom wall were investigated numerically. The square cavity vertical walls are maintained at cold temperature while the upper wall is insulated. The physical problem is then expressed mathematically by a set of governing equations and the developed mathematical model is solved by employing Galerkin weighted residual method of finite element formulation. Effects of variations of Richardson number, Hartmann number and heat generation or absorption parameter on flow structure and heat transfer rate (Nuesselt number) were studied in details. The significant reduction in the average Nusselt number were produced as the strength of the applied magnetic field was increased. In addition, heat generation predicted to decrease the average Nusselt number whereas heat absorption increases it.},
year = {2014}
}
TY - JOUR T1 - Effect of Internal Heat Generation or Absorption on MHD Mixed Convection Flow in a Lid Driven Cavity AU - Litan Kumar Saha AU - K. M. Salah Uddin AU - M. A. Taher Y1 - 2014/11/29 PY - 2014 N1 - https://doi.org/10.11648/j.ajam.s.2015030101.13 DO - 10.11648/j.ajam.s.2015030101.13 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 20 EP - 29 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.s.2015030101.13 AB - In the present study the problem of mixed convection flow in the presence of magnetic field in a lid-driven square cavity with internal heat generation or absorption and uniform heating of bottom wall were investigated numerically. The square cavity vertical walls are maintained at cold temperature while the upper wall is insulated. The physical problem is then expressed mathematically by a set of governing equations and the developed mathematical model is solved by employing Galerkin weighted residual method of finite element formulation. Effects of variations of Richardson number, Hartmann number and heat generation or absorption parameter on flow structure and heat transfer rate (Nuesselt number) were studied in details. The significant reduction in the average Nusselt number were produced as the strength of the applied magnetic field was increased. In addition, heat generation predicted to decrease the average Nusselt number whereas heat absorption increases it. VL - 3 IS - 1-1 ER -
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