International Scientific Journal


This paper addresses the heat transfer performance of natural convection flows in three different, (but related) cavities in the form of: a square, isosceles right-angled triangle, and vertical rectangle with aspect ratio 2:1. The isosceles right-angled triangular cavity is derived from a square cavity when cut in half diagonally, whereas the vertical rectangular cavity is derived from a square cavity when cut in half vertically. In the three cavities, the left vertical wall is the common wall heated. The buoyant air flow is characterized by height-based Rayleigh numbers ranging from a conduction-dominant to up to 106 for the laminar natural convection regime. Employing the finite volume method, the velocity and temperature fields as well as the mean convective coefficients evaluated at the common heated vertical wall are numerically determined for the isosceles right-angled triangular cavity. For this cavity, flow streamlines and temperature contours are presented in graphical form and some numerical results are validated against published experimental measurements. A one-to-one comparison for the heat transfer performance of the three interconnected cavities is reported in tabulated form.
PAPER REVISED: 2011-09-15
PAPER ACCEPTED: 2011-10-08
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THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Supplement 2, PAGES [S357 - S365]
  1. Raithby, G. D., Hollands, K. G. T., "Natural Convection", Chapter 4, in Handbook of Heat Transfer, (Eds. W.M. Rohsenow et al.), 3rd. ed., Mc-Graw-Hill, New York, USA, 1998.
  2. Charmchi, M., Martin, J. G., "Natural Convection Heat Transfer", Chapter 3, in Handbook of Applied Thermal Design, (Ed. Guyer, E. C.), Taylor & Francis, Philadelphia, PA, USA, 1999.
  3. Jaluria, Y., "Natural Convection", Chapter 7, in Heat Transfer Handbook, (Eds. A. Bejan and A.D. Kraus), John Wiley, New York, USA, 2003.
  4. Asan, H., Namli, L., Laminar Natural Convection in a Pitched Roof of Triangular Cross Section: Summer Day Boundary Condition, Energy and Buildings, 33 (2000), pp. 69-73.
  5. Haese, P. M., Teubner, M. D., Heat Exchange in an Attic Space, Intern. J. Heat Mass Transfer, 45, (2002, pp. 4925-4936.
  6. Ridouane, E.H., Campo, A., Numerical Computation of Buoyant Airflows Confined to Attic Spaces under Opposing Hot and Cold Wall Conditions with Experimental Validation, Intern. J. Thermal Sciences, 44 (2005), pp. 944-952.
  7. Ridouane, E.H., Campo, A., Formation of a Pitchfork Bifurcation in Thermal Convection Flow Inside an Isosceles Triangular Cavity, Physics of Fluids, 8 (2006) 7, Paper number 074102.
  8. Bar-Cohen, A. et al., "Heat Transfer in Electronic Equipment", Chapter 13. In Heat Transfer Handbook, (Eds. A. Bejan and A.D. Kraus), John Wiley, New York, 2003.
  9. Simons, R. E., Antonnetti, V. W., Nakayawa, W., Oktay, S., "Heat Transfer in Electronic Packages". In Microelectronics Packaging Handbook, (Eds. Tummala, R. R. et al.), 2nd. ed., pp. 1-315 to 1-403, Chapman and Hall, New York, USA, 1997.
  10. Frederick, R. L., On the Aspect Ratio for which the Heat Transfer in Differentially Heated Cavities is Maximum, Intern. Comm. Heat Mass Transfer, 26 (1999) pp. 549-558.
  11. Berkosky, B.M., Polevikov, V.K., Numerical Study of High Intensive Free Convection. In Heat Transfer and Turbulent Buoyant Convection, (Eds. D.B. Spalding, N. Afgan), pp. 443-445, Hemisphere, Washington, DC,USA, 1977.
  13. Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Taylor & Francis Inc., New York USA, 1980.
  14. LeQuéré, P., Alziari de Roquefort, T., Transition to Unsteady Natural Convection of Air in Vertical Differentially Heated Cavities: Influence of Thermal Boundary Conditions on the Horizontal Walls, Proceedings 8th Intern. Heat Transfer Conference, San Francisco, CA, USA, 1986.
  15. Basak, T., Aravind, G., Roy, R., Visualization of Heat Flow due to Natural Convection Within Triangular Cavities using Bejan's Heatline Concept, Intern. J. Heat Mass Transfer, 52 (2009), 11-12, pp. 2824-2833.
  17. Elicer-Cortés, J. C., Kim-Son, D., Natural Convection in a Dihedral Enclosure: Influence of the Angle and the Wall Temperatures on the Thermal Field, Experimental Heat Transfer, 6 (1993), pp. 205-213

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