Effect of an Adiabatic Fin on Natural Convection Heat Transfer in a Triangular Enclosure

Sreebash C Paul; Suvash C. Saha; Y. T. Gu

doi:doi:10.11648/j.ajam.20130104.16

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Effect of an Adiabatic Fin on Natural Convection Heat Transfer in a Triangular Enclosure

Sreebash C Paul, Suvash C. Saha, Y. T. Gu

Published in American Journal of Applied Mathematics (Volume 1, Issue 4)

Received: 20 October 2013 Accepted: Published: 10 November 2013

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Abstract

Natural convection thermal boundary layer adjacent to the heated inclined wall of a right angled triangle with an adiabatic fin attached to that surface is investigated by numerical simulations. The finite volume based unsteady numerical model is adopted for the simulation. It is revealed from the numerical results that the development of the boundary layer along the inclined surface is characterized by three distinct stages, i.e. a start-up stage, a transitional stage and a steady stage. These three stages can be clearly identified from the numerical simulations. Moreover, in presence of adiabatic fin, the thermal boundary layer adjacent to the inclined wall breaks initially. However, it is reattached with the downstream boundary layer next to the fin. More attention has been given to the boundary layer development near the fin area.

Published in	American Journal of Applied Mathematics (Volume 1, Issue 4)
DOI	10.11648/j.ajam.20130104.16
Page(s)	78-83
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), 2024. Published by Science Publishing Group

Keywords

Heat Transfer, Triangular Enclosure, Fin, Boundary Layer

References

[1]	V.A. Akinsete and T.A. Coleman, "Heat transfer by steady laminar free convection in triangular enclosures". Int. J. Heat Mass Transfer, vol. 25(7) pp. 991–998, 1982.
[2]	F. Moukalled and S. Acharya, "Natural convection in trapezoidal cavities with baffles mounted on the upper inclined surfaces". Numerical Heat Transfer, Part A: Applications, vol. 37 (6) pp. 545–565, 2000.
[3]	F. Moukalled and S. Acharya. "Natural convection in a trapezoidal enclosure with offset baffles". J. Thermophys. Heat Transfer, vol. 15( 2), pp. 212–218, 2001.
[4]	F. Xu , J. C. Patterson and C. Lei, "An experimental study of the unsteady thermal flow around a thin fin on a sidewall of a differentially heated cavity". International Journal of Heat and Fluid Flow, vol. 29 pp. 1139–1153, 2008.
[5]	F. Xu , J. C. Patterson and C. Lei, "Temperature oscillations in a differentially heated cavity with and without a fin on the sidewall", International Communications in Heat and Mass Transfer, vol. 37 pp. 350–359, 2010.
[6]	F. Xu , J. C. Patterson and C. Lei, "Transition to a periodic flow induced by a thin fin on the sidewall of a differentially heated cavity", International Journal of Heat and Mass Transfer,vol. 52 pp. 620–628, 2009.
[7]	Y. Varol, H.F. Oztop and A. Varol, "Effects of thin fin on natural convection in porous triangular enclosures". International Journal of Thermal Sciences, vol.:46 pp. 1033–1045, 2007.
[8]	E. H. Ridouane and A. Campo, "Effects of attaching baffles onto the inclined walls of attic frames for purposes of energy conservation". Heat Transfer Eng.vol. 28(2) pp. 103–111, 2007.
[9]	Y. Varol, H. F. Oztop and I. Pop, "Natural convection in porous media-filled triangular enclosure with a conducting thin fin on the hot vertical wall", Proc. IMechE. Part C: J. Mechanical Engineering Science, vol. 222(9) pp. 1735-1743, 2008.
[10]	T. N. Anderson, M. Duke and J. K. Carson, "Convection suppression in a triangular-shaped enclosure". Computational Thermal Sciences, vol. 1 pp. 309–321, 2009.
[11]	T. N. Anderson, M. Duke and J. K. Carson, "Suppression of natural convection heat transfer coefficients in an attic shaped enclosure". International Communications in Heat and Mass Transfer, vol. 37 pp. 984–986, 2010.
[12]	S. C. Saha, J. C. Patterson and C. Lei, "Natural convection in attics subject to instantaneous and ramp cooling boundary conditions". Energy and Buildings, vol. 42 pp.1192–1204, 2010.

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APA Style

Sreebash C Paul, Suvash C. Saha, Y. T. Gu. (2013). Effect of an Adiabatic Fin on Natural Convection Heat Transfer in a Triangular Enclosure. American Journal of Applied Mathematics, 1(4), 78-83. https://doi.org/10.11648/j.ajam.20130104.16

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ACS Style

Sreebash C Paul; Suvash C. Saha; Y. T. Gu. Effect of an Adiabatic Fin on Natural Convection Heat Transfer in a Triangular Enclosure. Am. J. Appl. Math. 2013, 1(4), 78-83. doi: 10.11648/j.ajam.20130104.16

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AMA Style

Sreebash C Paul, Suvash C. Saha, Y. T. Gu. Effect of an Adiabatic Fin on Natural Convection Heat Transfer in a Triangular Enclosure. Am J Appl Math. 2013;1(4):78-83. doi: 10.11648/j.ajam.20130104.16

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@article{10.11648/j.ajam.20130104.16,
  author = {Sreebash C Paul and Suvash C. Saha and Y. T. Gu},
  title = {Effect of an Adiabatic Fin on Natural Convection Heat Transfer in a Triangular Enclosure},
  journal = {American Journal of Applied Mathematics},
  volume = {1},
  number = {4},
  pages = {78-83},
  doi = {10.11648/j.ajam.20130104.16},
  url = {https://doi.org/10.11648/j.ajam.20130104.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20130104.16},
  abstract = {Natural convection thermal boundary layer adjacent to the heated inclined wall of a right angled triangle with an adiabatic fin attached to that surface is investigated by numerical simulations. The finite volume based unsteady numerical model is adopted for the simulation. It is revealed from the numerical results that the development of the boundary layer along the inclined surface is characterized by three distinct stages, i.e. a start-up stage, a transitional stage and a steady stage. These three stages can be clearly identified from the numerical simulations. Moreover, in presence of adiabatic fin, the thermal boundary layer adjacent to the inclined wall breaks initially. However, it is reattached with the downstream boundary layer next to the fin. More attention has been given to the boundary layer development near the fin area.},
 year = {2013}
}

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TY  - JOUR
T1  - Effect of an Adiabatic Fin on Natural Convection Heat Transfer in a Triangular Enclosure
AU  - Sreebash C Paul
AU  - Suvash C. Saha
AU  - Y. T. Gu
Y1  - 2013/11/10
PY  - 2013
N1  - https://doi.org/10.11648/j.ajam.20130104.16
DO  - 10.11648/j.ajam.20130104.16
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 78
EP  - 83
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20130104.16
AB  - Natural convection thermal boundary layer adjacent to the heated inclined wall of a right angled triangle with an adiabatic fin attached to that surface is investigated by numerical simulations. The finite volume based unsteady numerical model is adopted for the simulation. It is revealed from the numerical results that the development of the boundary layer along the inclined surface is characterized by three distinct stages, i.e. a start-up stage, a transitional stage and a steady stage. These three stages can be clearly identified from the numerical simulations. Moreover, in presence of adiabatic fin, the thermal boundary layer adjacent to the inclined wall breaks initially. However, it is reattached with the downstream boundary layer next to the fin. More attention has been given to the boundary layer development near the fin area.
VL  - 1
IS  - 4
ER  -

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Author Information

Sreebash C Paul

Department of Arts and Sciences, Ahsanullah University of Science and Technology (AUST), Dhaka 1208, Bangladesh
Suvash C. Saha

School of Chemistry, Physics & Mechanical Engineering, Queensland University of Technology, Brisbane, QLD 4001 , Australia
Y. T. Gu

School of Chemistry, Physics & Mechanical Engineering, Queensland University of Technology, Brisbane, QLD 4001 , Australia

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Plain Text BibTeX RIS

APA Style

Sreebash C Paul, Suvash C. Saha, Y. T. Gu. (2013). Effect of an Adiabatic Fin on Natural Convection Heat Transfer in a Triangular Enclosure. American Journal of Applied Mathematics, 1(4), 78-83. https://doi.org/10.11648/j.ajam.20130104.16

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ACS Style

Sreebash C Paul; Suvash C. Saha; Y. T. Gu. Effect of an Adiabatic Fin on Natural Convection Heat Transfer in a Triangular Enclosure. Am. J. Appl. Math. 2013, 1(4), 78-83. doi: 10.11648/j.ajam.20130104.16

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AMA Style

Sreebash C Paul, Suvash C. Saha, Y. T. Gu. Effect of an Adiabatic Fin on Natural Convection Heat Transfer in a Triangular Enclosure. Am J Appl Math. 2013;1(4):78-83. doi: 10.11648/j.ajam.20130104.16

Copy | Download

@article{10.11648/j.ajam.20130104.16,
  author = {Sreebash C Paul and Suvash C. Saha and Y. T. Gu},
  title = {Effect of an Adiabatic Fin on Natural Convection Heat Transfer in a Triangular Enclosure},
  journal = {American Journal of Applied Mathematics},
  volume = {1},
  number = {4},
  pages = {78-83},
  doi = {10.11648/j.ajam.20130104.16},
  url = {https://doi.org/10.11648/j.ajam.20130104.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20130104.16},
  abstract = {Natural convection thermal boundary layer adjacent to the heated inclined wall of a right angled triangle with an adiabatic fin attached to that surface is investigated by numerical simulations. The finite volume based unsteady numerical model is adopted for the simulation. It is revealed from the numerical results that the development of the boundary layer along the inclined surface is characterized by three distinct stages, i.e. a start-up stage, a transitional stage and a steady stage. These three stages can be clearly identified from the numerical simulations. Moreover, in presence of adiabatic fin, the thermal boundary layer adjacent to the inclined wall breaks initially. However, it is reattached with the downstream boundary layer next to the fin. More attention has been given to the boundary layer development near the fin area.},
 year = {2013}
}

Copy | Download

TY  - JOUR
T1  - Effect of an Adiabatic Fin on Natural Convection Heat Transfer in a Triangular Enclosure
AU  - Sreebash C Paul
AU  - Suvash C. Saha
AU  - Y. T. Gu
Y1  - 2013/11/10
PY  - 2013
N1  - https://doi.org/10.11648/j.ajam.20130104.16
DO  - 10.11648/j.ajam.20130104.16
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 78
EP  - 83
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20130104.16
AB  - Natural convection thermal boundary layer adjacent to the heated inclined wall of a right angled triangle with an adiabatic fin attached to that surface is investigated by numerical simulations. The finite volume based unsteady numerical model is adopted for the simulation. It is revealed from the numerical results that the development of the boundary layer along the inclined surface is characterized by three distinct stages, i.e. a start-up stage, a transitional stage and a steady stage. These three stages can be clearly identified from the numerical simulations. Moreover, in presence of adiabatic fin, the thermal boundary layer adjacent to the inclined wall breaks initially. However, it is reattached with the downstream boundary layer next to the fin. More attention has been given to the boundary layer development near the fin area.
VL  - 1
IS  - 4
ER  -

Copy | Download