Finite element method is used to solve two-dimensional governing mass, momentum and energy equations for steady state, mixed convection problem inside a lid driven square enclosure containing a triangular hot obstacle located at the centre of the enclosure. The enclosure top wall is adiabatic while the bottom wall and triangular obstacle are maintained at a uniform temperature higher than the vertical side walls. The left vertical wall is moving with a uniform velocity by unity from bottom to top. All solid boundaries are in no slip condition. The aim of the study is to describe the effect of magnetic field, Prandtl number and the size of triangular obstacle on mixed convection fluid flow, heat transfer and temperature of the fluid. The investigation is conducted for various values of magnetic parameter Ha, obstacle size (area) A, Richardson number Ri, and Prandtl number Pr. Various results such as streamlines, isotherms, heat transfer rates in terms of average Nusselt number Nu, and average temperature θav of the fluid in the enclosure are presented for different parameters. It is observed that the obstacle size and dimensionless parameters Ha and Pr have significant effect on both the flow and thermal fields. The results also indicate that the average Nusselt number at the heated surface is strongly dependent on the configurations of the system studied under different geometrical and physical configurations.
| Published in | American Journal of Applied Mathematics (Volume 3, Issue 6) |
| DOI | 10.11648/j.ajam.20150306.18 |
| Page(s) | 288-296 |
| 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), 2015. Published by Science Publishing Group |
Magnetohydrodynamic, Mixed Convection, Square Enclosure, Triangular Obstacle
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APA Style
Kakali Chowdhury, Md. Abdul Alim. (2015). Analysis of MHD Mixed Convection Flow Within a Square Enclosure Containing a Triangular Obstacle. American Journal of Applied Mathematics, 3(6), 288-296. https://doi.org/10.11648/j.ajam.20150306.18
ACS Style
Kakali Chowdhury; Md. Abdul Alim. Analysis of MHD Mixed Convection Flow Within a Square Enclosure Containing a Triangular Obstacle. Am. J. Appl. Math. 2015, 3(6), 288-296. doi: 10.11648/j.ajam.20150306.18
AMA Style
Kakali Chowdhury, Md. Abdul Alim. Analysis of MHD Mixed Convection Flow Within a Square Enclosure Containing a Triangular Obstacle. Am J Appl Math. 2015;3(6):288-296. doi: 10.11648/j.ajam.20150306.18
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Download@article{10.11648/j.ajam.20150306.18,
author = {Kakali Chowdhury and Md. Abdul Alim},
title = {Analysis of MHD Mixed Convection Flow Within a Square Enclosure Containing a Triangular Obstacle},
journal = {American Journal of Applied Mathematics},
volume = {3},
number = {6},
pages = {288-296},
doi = {10.11648/j.ajam.20150306.18},
url = {https://doi.org/10.11648/j.ajam.20150306.18},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150306.18},
abstract = {Finite element method is used to solve two-dimensional governing mass, momentum and energy equations for steady state, mixed convection problem inside a lid driven square enclosure containing a triangular hot obstacle located at the centre of the enclosure. The enclosure top wall is adiabatic while the bottom wall and triangular obstacle are maintained at a uniform temperature higher than the vertical side walls. The left vertical wall is moving with a uniform velocity by unity from bottom to top. All solid boundaries are in no slip condition. The aim of the study is to describe the effect of magnetic field, Prandtl number and the size of triangular obstacle on mixed convection fluid flow, heat transfer and temperature of the fluid. The investigation is conducted for various values of magnetic parameter Ha, obstacle size (area) A, Richardson number Ri, and Prandtl number Pr. Various results such as streamlines, isotherms, heat transfer rates in terms of average Nusselt number Nu, and average temperature θav of the fluid in the enclosure are presented for different parameters. It is observed that the obstacle size and dimensionless parameters Ha and Pr have significant effect on both the flow and thermal fields. The results also indicate that the average Nusselt number at the heated surface is strongly dependent on the configurations of the system studied under different geometrical and physical configurations.},
year = {2015}
}
TY - JOUR T1 - Analysis of MHD Mixed Convection Flow Within a Square Enclosure Containing a Triangular Obstacle AU - Kakali Chowdhury AU - Md. Abdul Alim Y1 - 2015/12/08 PY - 2015 N1 - https://doi.org/10.11648/j.ajam.20150306.18 DO - 10.11648/j.ajam.20150306.18 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 288 EP - 296 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20150306.18 AB - Finite element method is used to solve two-dimensional governing mass, momentum and energy equations for steady state, mixed convection problem inside a lid driven square enclosure containing a triangular hot obstacle located at the centre of the enclosure. The enclosure top wall is adiabatic while the bottom wall and triangular obstacle are maintained at a uniform temperature higher than the vertical side walls. The left vertical wall is moving with a uniform velocity by unity from bottom to top. All solid boundaries are in no slip condition. The aim of the study is to describe the effect of magnetic field, Prandtl number and the size of triangular obstacle on mixed convection fluid flow, heat transfer and temperature of the fluid. The investigation is conducted for various values of magnetic parameter Ha, obstacle size (area) A, Richardson number Ri, and Prandtl number Pr. Various results such as streamlines, isotherms, heat transfer rates in terms of average Nusselt number Nu, and average temperature θav of the fluid in the enclosure are presented for different parameters. It is observed that the obstacle size and dimensionless parameters Ha and Pr have significant effect on both the flow and thermal fields. The results also indicate that the average Nusselt number at the heated surface is strongly dependent on the configurations of the system studied under different geometrical and physical configurations. VL - 3 IS - 6 ER -
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