The Thermo-dependence Effects on Buoyancy Convection Heat Transfer in a Square Enclosure, Filled with Shear-thickening Power-law Fluids and Submitted to Cross Uniform Heat

M. Kaddiri; M. Naimi; A. Raji; M. Hasnaoui

doi:doi:10.11648/j.ijfmts.20150102.13

| Peer-Reviewed

The Thermo-dependence Effects on Buoyancy Convection Heat Transfer in a Square Enclosure, Filled with Shear-thickening Power-law Fluids and Submitted to Cross Uniform Heat

M. Kaddiri, M. Naimi, A. Raji, M. Hasnaoui

Published in International Journal of Fluid Mechanics & Thermal Sciences (Volume 1, Issue 2)

Received: 20 May 2015 Accepted: 12 June 2015 Published: 15 June 2015

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

Two-dimensional steady-state buoyancy driven flows of thermo-dependent shear-thinning power-law fluid confined in a square cavity, submitted to cross uniform heat fluxes, has been conducted numerically using a finite difference technique. The parameters governing the problem are the thermo-dependence number m (0≤m≤10) and the ratio between the heat flux imposed on the vertical walls and that imposed on the horizontal ones represented by a (0≤a≤1), while the flow behavior index n is fixed at (n=1.4) and the Rayleigh number at (R_a=5000). The effects of these parameters on the flow structure and heat transfer characteristics have been analyzed.

Published in	International Journal of Fluid Mechanics & Thermal Sciences (Volume 1, Issue 2)
DOI	10.11648/j.ijfmts.20150102.13
Page(s)	30-35
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

Natural Convection, Heat Transfer, Thermo-dependent Behavior, Non-Newtonian Fluid

References

[1]	S. Ostrach, “Natural convection in enclosures,” J. Heat Transfer. 1988. 110. P. 1175–1190.
[2]	B. Gebhart, Y. Jaluria, R. L. Mahajan, and B. Sammakia, “Buoyancy-induced flows and transport, ” chap. 16, Hemisphere, Washington, DC, 1988.
[3]	A.H.P. Skelland, Non-Newtonian flow and heat transfer, Wiley, New York; 1967.
[4]	V. Scirocco, R. Devienne, and M. Lebouché, “Ecoulement laminaire et transfert de chaleur pour un fluide pseudo-plastique dans la zone d'entrée d'un tube, ” Int. J. Heat Mass Transfer, 28(1), pp. 91-99, 1985.
[5]	S. Shin, Y.I. Cho, “Laminar heat transfer in a rectangular duct with a non-Newtonian fluid with temperature dependent viscosity,” International Journal of Heat and Mass Transfer, vol. 37, no. 1, pp. 19-30, 1994.
[6]	C.H. Sohn, S.T. Ahn and S. Shin, “Heat transfer behavior of a temperature dependent viscoelastic nonNewtonian fluid with buoyancy effect in 2:1 rectangular duct, ” Int. comm. Heat Mass Transfer, 2000, 27(2), pp. 159-168.
[7]	C. Nouar, “Thermal convection for a thermodependent yield stress fluid in an axisymmetric horizontal duct, ” Int. J. Heat Mass Transfer, 2005, 48, pp. 5520-5535.
[8]	S. Turki, Contribution to Numerical Study of Natural and Mixed Convection Heat Transfers in Confined Non-Newtonian Fluids, Ph.D. Thesis, CNAM, Paris, France, 1990.
[9]	V.S. Solomatov, and A.C. Barr, “Onset of convection in fluids with strongly temperature-dependent power-law viscosity, ” Physics of the Earth and Planetary Interiors, 155, pp.140-145, 2006.
[10]	V.S. Solomatov and A.C. Barr, “Onset of convection in fluids with strongly temperature dependent power-law viscosity: 2. Dependence on the initial perturbation,” Physics of the Earth and Planetary Interiors, 2007, 165, pp. 1-13.
[11]	N. J. Balmforth and A. Provenzale, Geophysical Aspects of Non-Newtonian Fluid Mechanics, vol. 582 of Liberal National Party, Springer, 2001.
[12]	P.J. Roache, Computational Fluid Dynamics, New Mexico: Hermosa Publishers, 1982.
[13]	S. Kimura and A. Bejan, “The Heatline Visualization of Convective Heat Transfer, ” ASME Journal of Heat Transfer, volume 105, pages 916–919, 1983.
[14]	H. Ozoe, and S.W. Churchill, “Hydrodynamic stability and natural convection in Ostwald–De Waele and Ellis fluids: the development of a numerical solution, ” AIChE J., 18, pp. 1196-1207, 1972.
[15]	M. Lamsaadi, M. Naïmi, and M. Hasnaoui, “Natural convection of non-Newtonian power-law fluids in a shallow horizontal rectangular enclosure uniformly heated from the side, ” Energy Conversion and Management, 47, pp. 2535-2551, 2006.
[16]	De Vahl Davis, G. “Natural convection of air in a square cavity: a bench mark numerical solution, ” Int. J. Num. Method Fluids, 1983, 3, pp. 249-264.
[17]	N. Ouertatani, N. Ben Cheikh, B. Ben Beya, and T. Lili, “Numerical simulation of two-dimensional Rayleigh-Benard convection in an enclosure,” Comptes Rendus, vol. 336, no. 5,pp. 464–470, 2008.
[18]	M. Kaddiri, M. Naïmi, A. Raji and M. Hasnaoui, “Thermal convection within a square cavity filled with non-Newtonian power-law fluids and differentially heated with uniform heat fluxes, ” International Scientific Journal for Alternative Energy and Ecology, Vol. 88, N° 8, pp. 57-69, 2010.
[19]	M. Kaddiri, M. Naïmi, A. Raji and M. Hasnaoui, “Rayleigh-Bénard convection of non-Newtonian power-law fluids with temperature-dependent viscosity,” ISRN Thermodynamics, Vol. 2012, Article ID 614712, 10 pages, 2012, doi.10.5402/2012/614712.

Cite This Article

Plain Text BibTeX RIS

APA Style

M. Kaddiri, M. Naimi, A. Raji, M. Hasnaoui. (2015). The Thermo-dependence Effects on Buoyancy Convection Heat Transfer in a Square Enclosure, Filled with Shear-thickening Power-law Fluids and Submitted to Cross Uniform Heat. International Journal of Fluid Mechanics & Thermal Sciences, 1(2), 30-35. https://doi.org/10.11648/j.ijfmts.20150102.13

Copy | Download

ACS Style

M. Kaddiri; M. Naimi; A. Raji; M. Hasnaoui. The Thermo-dependence Effects on Buoyancy Convection Heat Transfer in a Square Enclosure, Filled with Shear-thickening Power-law Fluids and Submitted to Cross Uniform Heat. Int. J. Fluid Mech. Therm. Sci. 2015, 1(2), 30-35. doi: 10.11648/j.ijfmts.20150102.13

Copy | Download

AMA Style

M. Kaddiri, M. Naimi, A. Raji, M. Hasnaoui. The Thermo-dependence Effects on Buoyancy Convection Heat Transfer in a Square Enclosure, Filled with Shear-thickening Power-law Fluids and Submitted to Cross Uniform Heat. Int J Fluid Mech Therm Sci. 2015;1(2):30-35. doi: 10.11648/j.ijfmts.20150102.13

Copy | Download

@article{10.11648/j.ijfmts.20150102.13,
  author = {M. Kaddiri and M. Naimi and A. Raji and M. Hasnaoui},
  title = {The Thermo-dependence Effects on Buoyancy Convection Heat Transfer in a Square Enclosure, Filled with Shear-thickening Power-law Fluids and Submitted to Cross Uniform Heat},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {1},
  number = {2},
  pages = {30-35},
  doi = {10.11648/j.ijfmts.20150102.13},
  url = {https://doi.org/10.11648/j.ijfmts.20150102.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20150102.13},
  abstract = {Two-dimensional steady-state buoyancy driven flows of thermo-dependent shear-thinning power-law fluid confined in a square cavity, submitted to cross uniform heat fluxes, has been conducted numerically using a finite difference technique. The parameters governing the problem are the thermo-dependence number m (0≤m≤10) and the ratio between the heat flux imposed on the vertical walls and that imposed on the horizontal ones represented by a (0≤a≤1), while the flow behavior index n is fixed at (n=1.4) and the Rayleigh number at (R_a=5000). The effects of these parameters on the flow structure and heat transfer characteristics have been analyzed.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - The Thermo-dependence Effects on Buoyancy Convection Heat Transfer in a Square Enclosure, Filled with Shear-thickening Power-law Fluids and Submitted to Cross Uniform Heat
AU  - M. Kaddiri
AU  - M. Naimi
AU  - A. Raji
AU  - M. Hasnaoui
Y1  - 2015/06/15
PY  - 2015
N1  - https://doi.org/10.11648/j.ijfmts.20150102.13
DO  - 10.11648/j.ijfmts.20150102.13
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 30
EP  - 35
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20150102.13
AB  - Two-dimensional steady-state buoyancy driven flows of thermo-dependent shear-thinning power-law fluid confined in a square cavity, submitted to cross uniform heat fluxes, has been conducted numerically using a finite difference technique. The parameters governing the problem are the thermo-dependence number m (0≤m≤10) and the ratio between the heat flux imposed on the vertical walls and that imposed on the horizontal ones represented by a (0≤a≤1), while the flow behavior index n is fixed at (n=1.4) and the Rayleigh number at (R_a=5000). The effects of these parameters on the flow structure and heat transfer characteristics have been analyzed.
VL  - 1
IS  - 2
ER  -

Copy | Download

Author Information

M. Kaddiri

Faculty of Sciences and Technologies, Laboratory of flows and Transfers Modeling (LAMET), Sultan Moulay Slimane University, Beni-Mellal, Morocco
M. Naimi

Faculty of Sciences and Technologies, Laboratory of flows and Transfers Modeling (LAMET), Sultan Moulay Slimane University, Beni-Mellal, Morocco
A. Raji

Faculty of Sciences and Technologies, Laboratory of flows and Transfers Modeling (LAMET), Sultan Moulay Slimane University, Beni-Mellal, Morocco
M. Hasnaoui

Faculty of Sciences Semlalia, Laboratory of Fluid Mechanics and Energetics (LMFE), Cadi Ayyad University, Marrakech, Morocco

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

M. Kaddiri, M. Naimi, A. Raji, M. Hasnaoui. (2015). The Thermo-dependence Effects on Buoyancy Convection Heat Transfer in a Square Enclosure, Filled with Shear-thickening Power-law Fluids and Submitted to Cross Uniform Heat. International Journal of Fluid Mechanics & Thermal Sciences, 1(2), 30-35. https://doi.org/10.11648/j.ijfmts.20150102.13

Copy | Download

ACS Style

M. Kaddiri; M. Naimi; A. Raji; M. Hasnaoui. The Thermo-dependence Effects on Buoyancy Convection Heat Transfer in a Square Enclosure, Filled with Shear-thickening Power-law Fluids and Submitted to Cross Uniform Heat. Int. J. Fluid Mech. Therm. Sci. 2015, 1(2), 30-35. doi: 10.11648/j.ijfmts.20150102.13

Copy | Download

AMA Style

M. Kaddiri, M. Naimi, A. Raji, M. Hasnaoui. The Thermo-dependence Effects on Buoyancy Convection Heat Transfer in a Square Enclosure, Filled with Shear-thickening Power-law Fluids and Submitted to Cross Uniform Heat. Int J Fluid Mech Therm Sci. 2015;1(2):30-35. doi: 10.11648/j.ijfmts.20150102.13

Copy | Download

@article{10.11648/j.ijfmts.20150102.13,
  author = {M. Kaddiri and M. Naimi and A. Raji and M. Hasnaoui},
  title = {The Thermo-dependence Effects on Buoyancy Convection Heat Transfer in a Square Enclosure, Filled with Shear-thickening Power-law Fluids and Submitted to Cross Uniform Heat},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {1},
  number = {2},
  pages = {30-35},
  doi = {10.11648/j.ijfmts.20150102.13},
  url = {https://doi.org/10.11648/j.ijfmts.20150102.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20150102.13},
  abstract = {Two-dimensional steady-state buoyancy driven flows of thermo-dependent shear-thinning power-law fluid confined in a square cavity, submitted to cross uniform heat fluxes, has been conducted numerically using a finite difference technique. The parameters governing the problem are the thermo-dependence number m (0≤m≤10) and the ratio between the heat flux imposed on the vertical walls and that imposed on the horizontal ones represented by a (0≤a≤1), while the flow behavior index n is fixed at (n=1.4) and the Rayleigh number at (R_a=5000). The effects of these parameters on the flow structure and heat transfer characteristics have been analyzed.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - The Thermo-dependence Effects on Buoyancy Convection Heat Transfer in a Square Enclosure, Filled with Shear-thickening Power-law Fluids and Submitted to Cross Uniform Heat
AU  - M. Kaddiri
AU  - M. Naimi
AU  - A. Raji
AU  - M. Hasnaoui
Y1  - 2015/06/15
PY  - 2015
N1  - https://doi.org/10.11648/j.ijfmts.20150102.13
DO  - 10.11648/j.ijfmts.20150102.13
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 30
EP  - 35
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20150102.13
AB  - Two-dimensional steady-state buoyancy driven flows of thermo-dependent shear-thinning power-law fluid confined in a square cavity, submitted to cross uniform heat fluxes, has been conducted numerically using a finite difference technique. The parameters governing the problem are the thermo-dependence number m (0≤m≤10) and the ratio between the heat flux imposed on the vertical walls and that imposed on the horizontal ones represented by a (0≤a≤1), while the flow behavior index n is fixed at (n=1.4) and the Rayleigh number at (R_a=5000). The effects of these parameters on the flow structure and heat transfer characteristics have been analyzed.
VL  - 1
IS  - 2
ER  -

Copy | Download