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

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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

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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), 2015. Published by Science Publishing Group

Keywords

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

References

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[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.

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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

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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

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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

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@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}
}

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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  -

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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

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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

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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

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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}
}

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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  -

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