Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 412480, 14 pages
http://dx.doi.org/10.1155/2014/412480
Research Article

Heat Transfer Analysis of Viscous Incompressible Fluid by Combined Natural Convection and Radiation in an Open Cavity

1Department of Electrical and Computer Engineering, Center for Advanced Studies in Engineering, 19 Atta Turk Avenue, G-5/1, Islamabad 44000, Pakistan
2University of Dhaka, Dhaka 1000, Bangladesh
3School of Chemistry, Physics & Mechanical Engineering, Queensland University of Technology, G.P.O. Box 2434, Brisbane, QLD 4001, Australia

Received 10 March 2014; Revised 24 May 2014; Accepted 3 June 2014; Published 25 June 2014

Academic Editor: Hang Xu

Copyright © 2014 M. Saleem et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. Siegel and J. R. Howell, Thermal Radiation Heat Transfer, Hemisphere, Washington, Wash, USA, 3rd edition, 1992.
  2. M. F. Modest, Radiative Heat Transfer, Academic Press, New York, NY, USA, 2nd edition, 2003.
  3. D. W. Larson and R. Viskanta, “Transient combined laminar free convection and radiation in a rectangular enclosure,” Journal of Fluid Mechanics, vol. 78, no. 1, pp. 65–85, 1976. View at Publisher · View at Google Scholar · View at Scopus
  4. G. Lauriat, “Gray fluids enclosed in vertical cavities,” Journal of Heat Transfer, vol. 104, no. 4, pp. 609–615, 1982. View at Google Scholar · View at Scopus
  5. C. Bouallou and J. F. Sacadura, “Thermal radiation, convection, and conduction in porous media contained in two-dimensional vertical cavities,” Journal of Heat Transfer, vol. 113, no. 1, pp. 255–258, 1991. View at Publisher · View at Google Scholar · View at Scopus
  6. A. Draoui, F. Allard, and C. Beghein, “Numerical analysis of heat transfer by natural convection and radiation in participating fluids enclosed in square cavities,” Numerical Heat Transfer A: Applications, vol. 20, no. 2, pp. 253–261, 1991. View at Publisher · View at Google Scholar · View at Scopus
  7. A. G. Salinger, S. Brandon, R. Aris, and J. J. Derby, “Buoyancy-driven flows of a radiatively participating fluid in a vertical cylinder heated from below,” Proceedings Royal Society of London A, vol. 442, no. 1915, pp. 313–341, 1993. View at Google Scholar · View at Scopus
  8. J. J. Derby, S. Brandon, and A. G. Salinger, “The diffusion and P1 approximations for modeling buoyant flow of an optically thick fluid,” International Journal of Heat and Mass Transfer, vol. 41, no. 11, pp. 1405–1415, 1998. View at Publisher · View at Google Scholar · View at Scopus
  9. E. H. Ridouane, M. Hasnaoui, and A. Campo, “Effects of surface radiation on natural convection in a rayleigh-benard square enclosure: steady and unsteady conditions,” Heat and Mass Transfer/Waerme- und Stoffuebertragung, vol. 42, no. 3, pp. 214–225, 2006. View at Publisher · View at Google Scholar · View at Scopus
  10. S. Shateyi, S. S. Motsa, and P. Sibanda, “The effects of thermal radiation, hall currents, soret, and dufour on MHD flow by mixed convection over a vertical surface in porous media,” Mathematical Problems in Engineering, vol. 2010, Article ID 627475, 20 pages, 2010. View at Publisher · View at Google Scholar · View at Scopus
  11. M. M. Molla, S. C. Saha, and M. A. Hossain, “Radiation effect on free convection laminar flow along a vertical flat plate with streamwise sinusoidal surface temperature,” Mathematical and Computer Modelling, vol. 53, no. 5-6, pp. 1310–1319, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. S. Siddiqa, M. A. Hossain, and S. C. Saha, “Natural convection flow with surface radiation along a vertical wavy surface,” Numerical Heat Transfer A: Applications, vol. 64, no. 5, pp. 400–415, 2013. View at Publisher · View at Google Scholar · View at Scopus
  13. R. C. Aziz, I. Hashim, and S. Abbasbandy, “Effects of thermocapillarity and thermal radiation on flow and heat transfer in a thin liquid film on an unsteady stretching sheet,” Mathematical Problems in Engineering, vol. 2012, Article ID 127320, 14 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  14. R. Nandkeolyar, M. Das, and P. Sibanda, “Unsteady hydromagnetic heat and mass transfer flow of a heat radiating and chemically reactive fluid past a flat porous plate with ramped wall temperature,” Mathematical Problems in Engineering, vol. 2013, Article ID 381806, 12 pages, 2013. View at Google Scholar · View at MathSciNet
  15. X. Liu, G. Gong, and H. Cheng, “Combined natural convection and radiation heat transfer of various absorbing-emitting-scattering media in a square cavity,” Advances in Mechanical Engineering, vol. 2014, Article ID 403690, 10 pages, 2014. View at Publisher · View at Google Scholar
  16. S. Kimura and A. Bejan, “The “Heatline” visualization of convective heat transfer,” ASME Journal of Heat Transfer, vol. 105, no. 4, pp. 916–919, 1983. View at Publisher · View at Google Scholar · View at Scopus
  17. F. L. Bello-Ochende, “A heat function formulation for thermal convection in a square cavity,” International Communications in Heat and Mass Transfer, vol. 15, no. 2, pp. 193–202, 1988. View at Publisher · View at Google Scholar · View at Scopus
  18. V. A. F. Costa, “Unification of the streamline, heatline and massline methods for the visualization of two-dimensional transport phenomena,” International Journal of Heat and Mass Transfer, vol. 42, no. 1, pp. 27–33, 1999. View at Publisher · View at Google Scholar · View at Scopus
  19. V. A. F. Costa, “Heatline and massline visualization of laminar natural convection boundary layers near a vertical wall,” International Journal of Heat and Mass Transfer, vol. 43, no. 20, pp. 3765–3774, 2000. View at Publisher · View at Google Scholar · View at Scopus
  20. Q. H. Deng and G. F. Tang, “Numerical visualization of mass and heat transport for mixed convective heat transfer by streamline and heatline,” International Journal of Heat and Mass Transfer, vol. 45, no. 11, pp. 2387–2396, 2002. View at Publisher · View at Google Scholar · View at Scopus
  21. M. A. Hossain, M. Saleem, and R. S. R. Gorla, “Surface-radiation effect on natural convection flow in a fluid-saturated non-Darcy porous medium enclosed by non-isothermal walls,” International Journal of Numerical Methods for Heat & Fluid Flow, vol. 23, no. 8, pp. 1320–1339, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  22. M. Saleem, S. Asghar, and M. A. Hossain, “Natural convection flow in an open rectangular cavity with cold sidewalls and constant volumetric heat source,” Proceedings of the Institution of Mechanical Engineers C: Journal of Mechanical Engineering Science, vol. 225, no. 5, pp. 1191–1201, 2011. View at Publisher · View at Google Scholar · View at Scopus
  23. M. Saleem, M. A. Hossain, S. Mahmud, and I. Pop, “Entropy generation in Marangoni convection flow of heated fluid in an open ended cavity,” International Journal of Heat and Mass Transfer, vol. 54, no. 21-22, pp. 4473–4484, 2011. View at Publisher · View at Google Scholar · View at Scopus
  24. J. F. Hinojosa, R. E. Cabanillas, G. Alvarez, and C. E. Estrada, “Nusselt number for the natural convection and surface thermal radiation in a square tilted open cavity,” International Communications in Heat and Mass Transfer, vol. 32, no. 9, pp. 1184–1192, 2005. View at Publisher · View at Google Scholar · View at Scopus
  25. H. Nouanegue, A. Muftuoglu, and E. Bilgen, “Conjugate heat transfer by natural convection, conduction and radiation in open cavities,” International Journal of Heat and Mass Transfer, vol. 51, no. 25-26, pp. 6054–6062, 2008. View at Publisher · View at Google Scholar · View at Scopus
  26. E. M. Sparrow and J. P. Abraham, “A new buoyancy model replacing the standard pseudo-density difference for internal natural convection in gases,” International Journal of Heat and Mass Transfer, vol. 46, no. 19, pp. 3583–3591, 2003. View at Publisher · View at Google Scholar · View at Scopus
  27. P. J. Roache, Computational Fluid Dynamics, Hermosa, Albuquerque, NM, USA, 2nd edition, 1988. View at MathSciNet