The flow and heat transfer due to natural convection in a triangular enclosure filled with a fluid saturated porous medium with a circular body in presence of heat generation has been numerically analyzed. The bottom wall of the enclosure is heated at a constant temperature while the left and right inclined wall of the cavity is maintained at cold temperature. The cavity contains a circular body which is insulated. The governing equations are solved numerically subject to suitable boundary conditions by Galerkin’s weighted residuals scheme of finite element method. Results are presented by streamlines, isotherms, mean Nusselt numbers for the variant parameters such as heat generation (λ) and radius of the circular body (R). Prandtl number (Pr) and Rayleigh number (Ra) are considered unchanged. It is found that these parameters have significant effect on the flow and temperature fields inside the cavity.
| Published in | American Journal of Applied Mathematics (Volume 3, Issue 2) |
| DOI | 10.11648/j.ajam.20150302.14 |
| Page(s) | 51-58 |
| 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 |
Natural Convection, Heat Generation, Triangular Cavity, Circular Body, Porous Media
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APA Style
Raju Chowdhury, Md. Abdul Hakim Khan, Md. Noor-A-Alam Siddiki. (2015). Natural Convection in Porous Triangular Enclosure with a Circular Obstacle in Presence of Heat Generation. American Journal of Applied Mathematics, 3(2), 51-58. https://doi.org/10.11648/j.ajam.20150302.14
ACS Style
Raju Chowdhury; Md. Abdul Hakim Khan; Md. Noor-A-Alam Siddiki. Natural Convection in Porous Triangular Enclosure with a Circular Obstacle in Presence of Heat Generation. Am. J. Appl. Math. 2015, 3(2), 51-58. doi: 10.11648/j.ajam.20150302.14
AMA Style
Raju Chowdhury, Md. Abdul Hakim Khan, Md. Noor-A-Alam Siddiki. Natural Convection in Porous Triangular Enclosure with a Circular Obstacle in Presence of Heat Generation. Am J Appl Math. 2015;3(2):51-58. doi: 10.11648/j.ajam.20150302.14
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Download@article{10.11648/j.ajam.20150302.14,
author = {Raju Chowdhury and Md. Abdul Hakim Khan and Md. Noor-A-Alam Siddiki},
title = {Natural Convection in Porous Triangular Enclosure with a Circular Obstacle in Presence of Heat Generation},
journal = {American Journal of Applied Mathematics},
volume = {3},
number = {2},
pages = {51-58},
doi = {10.11648/j.ajam.20150302.14},
url = {https://doi.org/10.11648/j.ajam.20150302.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150302.14},
abstract = {The flow and heat transfer due to natural convection in a triangular enclosure filled with a fluid saturated porous medium with a circular body in presence of heat generation has been numerically analyzed. The bottom wall of the enclosure is heated at a constant temperature while the left and right inclined wall of the cavity is maintained at cold temperature. The cavity contains a circular body which is insulated. The governing equations are solved numerically subject to suitable boundary conditions by Galerkin’s weighted residuals scheme of finite element method. Results are presented by streamlines, isotherms, mean Nusselt numbers for the variant parameters such as heat generation (λ) and radius of the circular body (R). Prandtl number (Pr) and Rayleigh number (Ra) are considered unchanged. It is found that these parameters have significant effect on the flow and temperature fields inside the cavity.},
year = {2015}
}
TY - JOUR T1 - Natural Convection in Porous Triangular Enclosure with a Circular Obstacle in Presence of Heat Generation AU - Raju Chowdhury AU - Md. Abdul Hakim Khan AU - Md. Noor-A-Alam Siddiki Y1 - 2015/03/21 PY - 2015 N1 - https://doi.org/10.11648/j.ajam.20150302.14 DO - 10.11648/j.ajam.20150302.14 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 51 EP - 58 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20150302.14 AB - The flow and heat transfer due to natural convection in a triangular enclosure filled with a fluid saturated porous medium with a circular body in presence of heat generation has been numerically analyzed. The bottom wall of the enclosure is heated at a constant temperature while the left and right inclined wall of the cavity is maintained at cold temperature. The cavity contains a circular body which is insulated. The governing equations are solved numerically subject to suitable boundary conditions by Galerkin’s weighted residuals scheme of finite element method. Results are presented by streamlines, isotherms, mean Nusselt numbers for the variant parameters such as heat generation (λ) and radius of the circular body (R). Prandtl number (Pr) and Rayleigh number (Ra) are considered unchanged. It is found that these parameters have significant effect on the flow and temperature fields inside the cavity. VL - 3 IS - 2 ER -
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