Numerical Study of Laminar Free Convection Heat Transfer Inside a Curvy Porous Cavity Heated From Below

Ali Maseer Gati'a; Zena Khalifa Kadhim; Ahmad Kadhim Al-Shara

doi:doi:10.11648/j.es.20170201.13

| Peer-Reviewed

Numerical Study of Laminar Free Convection Heat Transfer Inside a Curvy Porous Cavity Heated From Below

Ali Maseer Gati'a, Zena Khalifa Kadhim, Ahmad Kadhim Al-Shara

Published in Engineering Science (Volume 2, Issue 1)

Received: 20 February 2017 Accepted: 27 February 2017 Published: 24 March 2017

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

A numerical investigation is performed in the present study by using of ANSYS-CFX R15.0 for a laminar free convection heat transfer inside a closed curvy porous cavity heated from below by using of Darcy-Forchheimer model with neglecting the viscous dissipation. The porous combination is a saturated silica-sand by water. The graphical parameters which have been tested here are involving (waving the cavity side walls in a sinusoidal shape, the phase angle, and the aspect ratio). The most important conclusion in this research is that the sinusoidal curviness of the cavity's walls is not help to rise the rate of heat transfer, but in contrary it decreases this rate except when the number of waves per cavity's height is equal to one (i.e. N=1), where it is found that this value enhances the heat transfer rate inside the cavity especially when the dimensionless amount of the wave's amplitude be equal to (0.075).

Published in	Engineering Science (Volume 2, Issue 1)
DOI	10.11648/j.es.20170201.13
Page(s)	14-25
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), 2017. Published by Science Publishing Group

Keywords

Free Convection, Curvy Cavity, Porous Medium, Darcy-Forchheimer Model, Sand-Silica, ANSYS-CFX R15.0

References

[1]	Donald A. Nield and Adrian Bejan. 'Convection in Porous Media'. Fourth edition, Springer 2013.
[2]	K. Vafai and C. L. Tien. 'Boundary and inertia effects on flow and heat transfer in porous media'. Elsevier Ltd. International Journal of Heat and Mass Transfer, Volume 24, Issue 2, February 1981, Pages 195-203.
[3]	C. Beckermann, R. Viskanta and S. Ramadhyani. 'A numerical study of non-darcian natural convection in a vertical enclosure filled with a porous medium'. Taylor & Francis Online Journal, Numerical Heat Transfer, Volume 10, 1986. Published online: 27 Feb 2007.
[4]	Debayan Das, Pratibha Biswal, Monisha Roy, and Tanmay Basak. 'Role of the importance of ‘Forchheimer term’ for visualization of natural convection in porous enclosures of various shapes'. Elsevier Ltd. International Journal of Heat and Mass Transfer, Volume 97, June 2016, Pages 1044–1068.
[5]	B. V. Rathish Kumar and Shalini. 'Free convection in a non-Darcian wavy porous enclosure'. Elsevier Ltd. International Journal of Engineering Science, Volume 41, Issue 16, September 2003, Pages 1827–1848.
[6]	P. V. S. N. Murthy, B. V. Rathish Kumar, and P. Singh. 'Natural convection heat transfer from a horizontal wavy surface in a porous enclosure', Numerical Heat Transfer, Part A: Applications: An International Journal of Computation and Methodology Volume 31, Issue 2, 1997. Published online: 16 May 2007.
[7]	Khalil Khanafer, Bader Al-Azmib, Alia Marafie, Ioan Pop. 'Non-Darcian effects on natural convection heat transfer in a wavy porous enclosure'. Elsevier Ltd. International Journal of Heat and Mass Transfer, Volume 52, Issues 7–8, March 2009, Pages 1887–1896.
[8]	X. B. Chen, P. Yu, S. H. Winoto and H. T. Low. 'Free convection in a porous wavy cavity based on the Darcy-Brinkman-Forchheimer extended model'. An International Journal of Computation and Methodology, Numerical Heat Transfer, Part A: Applications: Volume 52, Issue 4, 2007.
[9]	Saurabh Bhardwaj, Amaresh Dalal, and Sukumar Pati. 'Influence of wavy wall and non-uniform heating on natural convection heat transfer and entropy generation inside porous complex enclosure'. Elsevier Ltd. Energy, Volume 79, 1 January 2015, Pages 467–481.
[10]	M. Bhuvaneswari, S. Sivasankaranb, and Y. J. Kima. 'Effect of aspect ratio on convection in a porous enclosure with partially active thermal walls'. Elsevier Ltd. Computers & Mathematics with Applications, Volume 62, Issue 10, November 2011, Pages 3844–3856.
[11]	ANSYS Help R15.0.
[12]	Dhia-Al-Deen H. Alwan, Ihsan. Y. Hussain, and Abdulhassan A. Karamallah. 'Experimental study of natural convection heat transfer in confined porous media heated from side'. Jornal of engineering, number 8, volume 19, August 2013.
[13]	V. Prasad, A. Kulacki, and M. Keyhani. ' Natural convection in porous media', Cambridge university press, Journal of Fluid Mechanics/ Volume 150/ January 1985, pp 89- 119. Published online: 01 April 2006.
[14]	Yasin Varol, Hakan F. Oztop and Asaf Varol. 'Free convection in porous media filled right-angle triangular enclosures'. Elsevier Ltd. International Communications in Heat and Mass Transfer, Volume 33, Issue 10, December 2006, Pages 1190–1197.
[15]	George S. Kell. 'Density, thermal expansivity, and compressibility of liquid water from 0 to 150 C: correlations and tables for atmospheric pressure and saturated reviewed and expressed on 1968 temperature scale'. journal of chemical and engineering data, Vol. 20, No. 1, 1975.

Cite This Article

Plain Text BibTeX RIS

APA Style

Ali Maseer Gati'a, Zena Khalifa Kadhim, Ahmad Kadhim Al-Shara. (2017). Numerical Study of Laminar Free Convection Heat Transfer Inside a Curvy Porous Cavity Heated From Below. Engineering Science, 2(1), 14-25. https://doi.org/10.11648/j.es.20170201.13

Copy | Download

ACS Style

Ali Maseer Gati'a; Zena Khalifa Kadhim; Ahmad Kadhim Al-Shara. Numerical Study of Laminar Free Convection Heat Transfer Inside a Curvy Porous Cavity Heated From Below. Eng. Sci. 2017, 2(1), 14-25. doi: 10.11648/j.es.20170201.13

Copy | Download

AMA Style

Ali Maseer Gati'a, Zena Khalifa Kadhim, Ahmad Kadhim Al-Shara. Numerical Study of Laminar Free Convection Heat Transfer Inside a Curvy Porous Cavity Heated From Below. Eng Sci. 2017;2(1):14-25. doi: 10.11648/j.es.20170201.13

Copy | Download

@article{10.11648/j.es.20170201.13,
  author = {Ali Maseer Gati'a and Zena Khalifa Kadhim and Ahmad Kadhim Al-Shara},
  title = {Numerical Study of Laminar Free Convection Heat Transfer Inside a Curvy Porous Cavity Heated From Below},
  journal = {Engineering Science},
  volume = {2},
  number = {1},
  pages = {14-25},
  doi = {10.11648/j.es.20170201.13},
  url = {https://doi.org/10.11648/j.es.20170201.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.es.20170201.13},
  abstract = {A numerical investigation is performed in the present study by using of ANSYS-CFX R15.0 for a laminar free convection heat transfer inside a closed curvy porous cavity heated from below by using of Darcy-Forchheimer model with neglecting the viscous dissipation. The porous combination is a saturated silica-sand by water. The graphical parameters which have been tested here are involving (waving the cavity side walls in a sinusoidal shape, the phase angle, and the aspect ratio). The most important conclusion in this research is that the sinusoidal curviness of the cavity's walls is not help to rise the rate of heat transfer, but in contrary it decreases this rate except when the number of waves per cavity's height is equal to one (i.e. N=1), where it is found that this value enhances the heat transfer rate inside the cavity especially when the dimensionless amount of the wave's amplitude be equal to (0.075).},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Numerical Study of Laminar Free Convection Heat Transfer Inside a Curvy Porous Cavity Heated From Below
AU  - Ali Maseer Gati'a
AU  - Zena Khalifa Kadhim
AU  - Ahmad Kadhim Al-Shara
Y1  - 2017/03/24
PY  - 2017
N1  - https://doi.org/10.11648/j.es.20170201.13
DO  - 10.11648/j.es.20170201.13
T2  - Engineering Science
JF  - Engineering Science
JO  - Engineering Science
SP  - 14
EP  - 25
PB  - Science Publishing Group
SN  - 2578-9279
UR  - https://doi.org/10.11648/j.es.20170201.13
AB  - A numerical investigation is performed in the present study by using of ANSYS-CFX R15.0 for a laminar free convection heat transfer inside a closed curvy porous cavity heated from below by using of Darcy-Forchheimer model with neglecting the viscous dissipation. The porous combination is a saturated silica-sand by water. The graphical parameters which have been tested here are involving (waving the cavity side walls in a sinusoidal shape, the phase angle, and the aspect ratio). The most important conclusion in this research is that the sinusoidal curviness of the cavity's walls is not help to rise the rate of heat transfer, but in contrary it decreases this rate except when the number of waves per cavity's height is equal to one (i.e. N=1), where it is found that this value enhances the heat transfer rate inside the cavity especially when the dimensionless amount of the wave's amplitude be equal to (0.075).
VL  - 2
IS  - 1
ER  -

Copy | Download

Author Information

Ali Maseer Gati'a

Mechanical Department/Engineering College, Wasit University, Wasit, Iraq
Zena Khalifa Kadhim

Mechanical Department/Engineering College, Wasit University, Wasit, Iraq
Ahmad Kadhim Al-Shara

Mechanical Department/Engineering College, Misan University, Misan, Iraq

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Ali Maseer Gati'a, Zena Khalifa Kadhim, Ahmad Kadhim Al-Shara. (2017). Numerical Study of Laminar Free Convection Heat Transfer Inside a Curvy Porous Cavity Heated From Below. Engineering Science, 2(1), 14-25. https://doi.org/10.11648/j.es.20170201.13

Copy | Download

ACS Style

Ali Maseer Gati'a; Zena Khalifa Kadhim; Ahmad Kadhim Al-Shara. Numerical Study of Laminar Free Convection Heat Transfer Inside a Curvy Porous Cavity Heated From Below. Eng. Sci. 2017, 2(1), 14-25. doi: 10.11648/j.es.20170201.13

Copy | Download

AMA Style

Ali Maseer Gati'a, Zena Khalifa Kadhim, Ahmad Kadhim Al-Shara. Numerical Study of Laminar Free Convection Heat Transfer Inside a Curvy Porous Cavity Heated From Below. Eng Sci. 2017;2(1):14-25. doi: 10.11648/j.es.20170201.13

Copy | Download

@article{10.11648/j.es.20170201.13,
  author = {Ali Maseer Gati'a and Zena Khalifa Kadhim and Ahmad Kadhim Al-Shara},
  title = {Numerical Study of Laminar Free Convection Heat Transfer Inside a Curvy Porous Cavity Heated From Below},
  journal = {Engineering Science},
  volume = {2},
  number = {1},
  pages = {14-25},
  doi = {10.11648/j.es.20170201.13},
  url = {https://doi.org/10.11648/j.es.20170201.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.es.20170201.13},
  abstract = {A numerical investigation is performed in the present study by using of ANSYS-CFX R15.0 for a laminar free convection heat transfer inside a closed curvy porous cavity heated from below by using of Darcy-Forchheimer model with neglecting the viscous dissipation. The porous combination is a saturated silica-sand by water. The graphical parameters which have been tested here are involving (waving the cavity side walls in a sinusoidal shape, the phase angle, and the aspect ratio). The most important conclusion in this research is that the sinusoidal curviness of the cavity's walls is not help to rise the rate of heat transfer, but in contrary it decreases this rate except when the number of waves per cavity's height is equal to one (i.e. N=1), where it is found that this value enhances the heat transfer rate inside the cavity especially when the dimensionless amount of the wave's amplitude be equal to (0.075).},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Numerical Study of Laminar Free Convection Heat Transfer Inside a Curvy Porous Cavity Heated From Below
AU  - Ali Maseer Gati'a
AU  - Zena Khalifa Kadhim
AU  - Ahmad Kadhim Al-Shara
Y1  - 2017/03/24
PY  - 2017
N1  - https://doi.org/10.11648/j.es.20170201.13
DO  - 10.11648/j.es.20170201.13
T2  - Engineering Science
JF  - Engineering Science
JO  - Engineering Science
SP  - 14
EP  - 25
PB  - Science Publishing Group
SN  - 2578-9279
UR  - https://doi.org/10.11648/j.es.20170201.13
AB  - A numerical investigation is performed in the present study by using of ANSYS-CFX R15.0 for a laminar free convection heat transfer inside a closed curvy porous cavity heated from below by using of Darcy-Forchheimer model with neglecting the viscous dissipation. The porous combination is a saturated silica-sand by water. The graphical parameters which have been tested here are involving (waving the cavity side walls in a sinusoidal shape, the phase angle, and the aspect ratio). The most important conclusion in this research is that the sinusoidal curviness of the cavity's walls is not help to rise the rate of heat transfer, but in contrary it decreases this rate except when the number of waves per cavity's height is equal to one (i.e. N=1), where it is found that this value enhances the heat transfer rate inside the cavity especially when the dimensionless amount of the wave's amplitude be equal to (0.075).
VL  - 2
IS  - 1
ER  -

Copy | Download