Volume 2, Issue 2, June 2017, Page: 43-47
Effect of Buoyancy Force on the Flow Field in a Square Cavity with Heated from Below
Md. Noor-A-Alam Siddiki, Department of Natural Science, Stamford University Bangladesh, Dhaka, Bangladesh
Ferjana Habiba, Department of Natural Science, Stamford University Bangladesh, Dhaka, Bangladesh
Raju Chowdhury, Department of Natural Science, Stamford University Bangladesh, Dhaka, Bangladesh
Received: Jan. 25, 2017;       Accepted: Feb. 8, 2017;       Published: Mar. 1, 2017
DOI: 10.11648/j.dmath.20170202.13      View  1485      Downloads  57
Abstract
In this paper, the effect of buoyancy force in a square enclosure is studied numerically. The coupled equations of continuity, momentum and energy are solved by a finite difference method. The SIMPLE algorithm is used to solve iteratively the pressure-velocities coupling. The numerical investigations in this analysis are made over a wide range of parameters, Rayleigh number and dimensionless heater lengths. Results are presented graphically in the form of streamlines, isotherms and also with a velocity profiles and average Nusselt numbers.
Keywords
Natural Convection, Nusselt Number, Square Cavity, Numerical Simulation, Finite Difference Method, Heat Source, Streamline, Isotherm, Average Nusselt Numbers
To cite this article
Md. Noor-A-Alam Siddiki, Ferjana Habiba, Raju Chowdhury, Effect of Buoyancy Force on the Flow Field in a Square Cavity with Heated from Below, International Journal of Discrete Mathematics. Vol. 2, No. 2, 2017, pp. 43-47. doi: 10.11648/j.dmath.20170202.13
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Reference
[1]
G. de Vahl Davis and I. P. Jones, “Natural convection in a square cavity: a comparison exercise”, Int. J. Num. Methods Fluid, vol. 3, pp. 227-249, 1983.
[2]
S. Ostrach, “Natural convection in enclosures”, J. Heat Transfer, vol. 110, pp. 1175-1190, 1988.
[3]
F. A. Kulacki and R. J. Goldstein, “Thermal convection in a horizontal fluid layer with uniform volumetric energy sources”, J. Fluid Mech., vol. 55, pp. 271-287, 1972.
[4]
F. A. Kulacki and M. E. Nagle, “Natural convection in a horizontal fluid layer with volumetric energy sources”, J. Heat Transfer, vol. 97, pp. 204-211, 1975.
[5]
S. Acharya and R. J. Goldstein, “Natural convection in an externally heated vertical or inclined square box containing internal energy sources”, J. Heat Transfer, vol. 107, pp. 855-866, 1985.
[6]
J. H. Lee and R. J. Goldstein, “An experimental study on natural convection heat transfer in an inclined square enclosure containing internal energy sources”, J. Heat Transfer, vol. 110, pp. 345-349, 1988.
[7]
Hakan F. Oztop, Eiyad Abu-Nada, Yasin Varol and Ali Chakma, “Natural convection in wavy enclosures with volumetric heat sources”, Int. J. Thermal sciences, vol. 50, pp. 502-514, 2011.
[8]
D. a. Neild and A. Bejan, Convection in porous Media, Springer, New York, 1998.
[9]
D. B. Ingham and I. Pop, Transport phenomena in porous media, Elsevier, Amsterdam, 1998.
[10]
S. Ostrach, Natural convection in enclosures, J. Heat Transfer 110 (1998), 1175-1190.
[11]
R. Anderson and G Lauriat, The horizontal Natural convection boundary layer regime in a closed cavity, proceedings of the eight international Heat transfer conference, Vol. 4, San Francisco, CA, 1986, pp, 1453-1458.
[12]
Delavar, M. A. and Sedighi, K. [2011] Effect of discrete heater at the vertical wall of the cavity over the heat transfer and entropy generation using Lattice Boltzmann method, Thermal Science, Vol. 15, N, 2, 423-435.
[13]
Radhwan, M. and Zaki, G. M. [2000] Laminar natural convection in a square enclosure with discrete heating of vertical walls, JKAU, Eng. Sci., Vol. 12, N°. 2, 83-99.
[14]
Varol, Y., Oztop, H. F., Koca, A. and Ozgen, F. [2009] Natural convection and fluid flow in inclined enclosure with a corner heater, Applied Thermal Engineering, 29, 340–350.
[15]
Che Sidik, N. A. [2009] Prediction of natural convection in a square cavity with partially heated from below and cooling from SSN -216X Vol. 35 N°3, 347-354. The manuscript number is 147012010.
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