Mixed convection flow in the presence of magnetic field is examined in a lid-driven cavity with wavy bottom surface. The magnetic field is applied in perpendicular direction to the cavity. Moreover, the cavity is heated from top while the bottom surface is taken as a wavy pattern. The vertical walls of the cavity are adiabatic. The governing equations have been solved by using Galerkin weighted residual method of finite element formulation. To uncover the flow patterns and heat transfer mechanisms within the cavity, the results are presented in terms of streamlines and isotherms for different Reynolds number, Grashof number, Hartmann number and number of undulations offered by the wavy bottom surface. Also the effects of these parameters are shown on the Local Nusselt number. It is observed that the wavy lid-driven cavity can be considered as an effective heat transfer mechanism in presence of magnetic field at larger wavy surface amplitudes and low Richardson numbers.
| 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.2015030101.12 |
| Page(s) | 8-19 |
| 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, Magneto-Hydrodynamics, Wavy Surface, Heat Transfer
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APA Style
Litan Kumar Saha, Monotos Chandra Somadder, Nepal Chandra Roy. (2014). Hydro-Magnetic Mixed Convection Flow in a Lid-Driven Cavity with Wavy Bottom Surface. American Journal of Applied Mathematics, 3(1-1), 8-19. https://doi.org/10.11648/j.ajam.s.2015030101.12
ACS Style
Litan Kumar Saha; Monotos Chandra Somadder; Nepal Chandra Roy. Hydro-Magnetic Mixed Convection Flow in a Lid-Driven Cavity with Wavy Bottom Surface. Am. J. Appl. Math. 2014, 3(1-1), 8-19. doi: 10.11648/j.ajam.s.2015030101.12
AMA Style
Litan Kumar Saha, Monotos Chandra Somadder, Nepal Chandra Roy. Hydro-Magnetic Mixed Convection Flow in a Lid-Driven Cavity with Wavy Bottom Surface. Am J Appl Math. 2014;3(1-1):8-19. doi: 10.11648/j.ajam.s.2015030101.12
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Download@article{10.11648/j.ajam.s.2015030101.12,
author = {Litan Kumar Saha and Monotos Chandra Somadder and Nepal Chandra Roy},
title = {Hydro-Magnetic Mixed Convection Flow in a Lid-Driven Cavity with Wavy Bottom Surface},
journal = {American Journal of Applied Mathematics},
volume = {3},
number = {1-1},
pages = {8-19},
doi = {10.11648/j.ajam.s.2015030101.12},
url = {https://doi.org/10.11648/j.ajam.s.2015030101.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.s.2015030101.12},
abstract = {Mixed convection flow in the presence of magnetic field is examined in a lid-driven cavity with wavy bottom surface. The magnetic field is applied in perpendicular direction to the cavity. Moreover, the cavity is heated from top while the bottom surface is taken as a wavy pattern. The vertical walls of the cavity are adiabatic. The governing equations have been solved by using Galerkin weighted residual method of finite element formulation. To uncover the flow patterns and heat transfer mechanisms within the cavity, the results are presented in terms of streamlines and isotherms for different Reynolds number, Grashof number, Hartmann number and number of undulations offered by the wavy bottom surface. Also the effects of these parameters are shown on the Local Nusselt number. It is observed that the wavy lid-driven cavity can be considered as an effective heat transfer mechanism in presence of magnetic field at larger wavy surface amplitudes and low Richardson numbers.},
year = {2014}
}
TY - JOUR T1 - Hydro-Magnetic Mixed Convection Flow in a Lid-Driven Cavity with Wavy Bottom Surface AU - Litan Kumar Saha AU - Monotos Chandra Somadder AU - Nepal Chandra Roy Y1 - 2014/11/29 PY - 2014 N1 - https://doi.org/10.11648/j.ajam.s.2015030101.12 DO - 10.11648/j.ajam.s.2015030101.12 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 8 EP - 19 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.s.2015030101.12 AB - Mixed convection flow in the presence of magnetic field is examined in a lid-driven cavity with wavy bottom surface. The magnetic field is applied in perpendicular direction to the cavity. Moreover, the cavity is heated from top while the bottom surface is taken as a wavy pattern. The vertical walls of the cavity are adiabatic. The governing equations have been solved by using Galerkin weighted residual method of finite element formulation. To uncover the flow patterns and heat transfer mechanisms within the cavity, the results are presented in terms of streamlines and isotherms for different Reynolds number, Grashof number, Hartmann number and number of undulations offered by the wavy bottom surface. Also the effects of these parameters are shown on the Local Nusselt number. It is observed that the wavy lid-driven cavity can be considered as an effective heat transfer mechanism in presence of magnetic field at larger wavy surface amplitudes and low Richardson numbers. VL - 3 IS - 1-1 ER -
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