0
TECHNICAL PAPERS: Radiative Heat Transfer

Interaction Effects Between Surface Radiation and Turbulent Natural Convection in Square and Rectangular Enclosures

[+] Author and Article Information
K. Velusamy

Thermal Hydraulics Section, Indira Gandhi Centre for Atomic Research, Kalpakkam-603 102, India

T. Sundararajan

Department of Mechanical Engineering, Indian Institute of Technology, Madras-600 036, India

K. N. Seetharamu

School of Mechanical Engineering, Universiti Sains Malaysia, (KCP) 31750 Tronoh, Malaysia

J. Heat Transfer 123(6), 1062-1070 (Apr 10, 2001) (9 pages) doi:10.1115/1.1409259 History: Received May 10, 2000; Revised April 10, 2001
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.

References

De Vahl Davis,  G., and Jones,  I. P., 1983, “Natural Convection in a Square Cavity—A Comparison Exercise,” Int. J. Numer. Methods Fluids, 3, pp. 227–248.
Balaji,  C., and Venkateshan,  S. P., 1993, “Interaction of Surface Radiation with Free Convection in a Square Cavity,” Int. J. Heat Fluid Flow, 14, pp. 260–267.
Akiyama,  M., and Chong,  Q. P., 1997, “Numerical Analysis of Natural Convection with Surface Radiation in a Square Enclosure,” Numer. Heat Transfer, Part A, 31, pp. 419–433.
Ostrach,  S., 1988, “Natural Convection in Enclosures,” ASME J. Heat Transfer, 110, pp. 1175–1190.
Hoogendoorn, C. J., 1986, “Natural Convection in Enclosures” Proc. 8th Int. Heat Transfer Conf., Vol. 1, Hemisphere Publishing Corp. Washington, DC, pp. 111–120.
Elsherbiny,  S. M., Raithby,  G. D., and Hollands,  K. G. T., 1982, “Heat Transfer by Natural Convection Across Vertical and Inclined Air Layers,” ASME J. Heat Transfer, 104, pp. 96–102.
Cheesewright, R., and Ziai, S., 1986, “Distributions of Temperature and Local Heat-Transfer Rate in Turbulent Natural Convection in a Large Rectangular Cavity,” Proc. 8th Int. Heat Transfer Conf., Hemisphere Publishing Corp. DC, pp. 1465–1470.
Cheesewright, R., King, K. J., and Ziai, S., 1986, “Experimental Data for the Validation of Computer Codes for the Prediction of Two-Dimensional Buoyant Cavity Flows,” Proc. ASME Meeting HTD, Vol. 60, pp. 75–81.
Olson,  D. A., Glicksman,  L. R., and Ferm,  H. M., 1990, “Steady State Natural Convection in Empty and Partitioned Enclosures at High Rayleigh Numbers,” ASME J. Heat Transfer, 112, pp. 640–647.
Shewen,  K., Hollands,  K. G. T., and Raithby,  G. D., 1996, “Heat Transfer by Natural Convection Across Vertical Air Cavity of Large Aspect Ratio,” ASME J. Heat Transfer, 118, pp. 993–995.
Ozoe,  H., Mouri,  A., Ohmuro,  M., Churchill,  S. W., and Lior,  N., 1985, “Numerical Calculations of Laminar and Turbulent Natural Convection in Water in Rectangular Channels Heated and Cooled Isothermally on the Opposing Vertical Walls,” Int. J. Heat Mass Transf., 28, pp. 125–139.
Giel, P. W., and Schmidt, F. W., 1990, “A Comparison of Turbulence Modeling Predictions to Experimental Measurements for High Rayleigh Number Natural Convection in Enclosures,” Proc. 9th Int. Heat Transfer Conf., Jerusalem, Israel, Hemisphere Publishing Corp., Vol. 2, pp. 175–180.
Markatos,  N. C., and Pericleous,  K. A., 1984, “Laminar and Turbulent Natural Convection in an Enclosed Cavity,” Int. J. Heat Mass Transf., 27, pp. 755–772.
Fusegi,  T., and Farouk,  B., 1989, “Laminar and Turbulent Natural Convection-Radiation Interactions in a Square Enclosure Filled with a Non-gray Gas,” Numer. Heat Transfer, Part A, 15, pp. 303–322.
Henkes, R. A. W. M., 1990, “Natural Convection Boundary Layers,” Ph.D. thesis, Delft University of Technology, The Netherlands.
Henkes,  R. A. W. M., and Hoogendoorn,  C. J., 1995, “Comparison Exercise for Computations of Turbulent Natural Convection in Enclosures, ” Numer. Heat Transfer, Part B, 28, pp. 59–78.
Gan,  G., 1998, “Prediction of Turbulent Buoyant Flow Using an RNG-k-ε Model,” Numer. Heat Transfer, Part A, 33, pp. 169–189.
Xu,  W., Chen,  Q., and Nieuwstadt,  F. T. M., 1998, “A New Turbulence Model for Near-Wall Natural Convection,” Int. J. Heat Mass Transf., 41, pp. 3161–3176.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, New York.
King, K. J., 1989, “Turbulent Natural Convection in Rectangular Air Cavities,” Ph.D. thesis, Queen Mary College, London, U.K.
Fu, B. I., and Ostrach, S., 1981, “The Effects of Stabilising Thermal Gradients on Natural Convection Flows in a Square Enclosure,” in Natural Convection 20th ASME/AIChE Natl. Heat Transfer Conf., Wisconsin, HTD-Vol. 16, pp. 91–104.
Tsuji,  T., and Nagano,  Y., 1989, “Velocity and Temperature Measurements in a Natural Convection Along a Vertical Flat Plate,” Exp. Therm. Fluid Sci., 2, pp. 208–215.
Versteegh,  T. A. M., and Nieuwstadt,  F. T. M., 1999, “A Direct Numerical Simulation of Natural Convection Between Two Infinite Vertical Differentially Heated Walls: Scaling Laws and Wall Functions,” Int. J. Heat Mass Transf. 42, pp. 3673–3693.
Venkateshan, S. P., and Balaji, C., 1995, “Interaction of Surface Radiation and Free Convection in Open and Closed Cavities,” Proc. 2nd ISHMT-ASME Heat and Mass Transfer Conf., REC-Surathkal, India, pp. 91–101.

Figures

Grahic Jump Location
Schematic of the enclosure and heat balance for an elemental wall segment
Grahic Jump Location
Comparison of present solutions with reference solution and experimental data for Ra=5.32×1010,Raw=4.26×108, and AR=5; (a) Nusselt number, and (b) mid-height vertical velocity.
Grahic Jump Location
Predicted fluid temperature variation at mid-width in an enclosure of AR=6 for Ra=7.12×1010: comparison with experimental data and reference solution.
Grahic Jump Location
Effect of grid size on hot wall Nusselt number in square and tall enclosures for ΔT=50 K,To=323 K, and ε=0.9
Grahic Jump Location
(a) Velocity field in a square enclosure during pure natural convection (in m/s), (Ra=1011, ε=0); (b) velocity field in a square enclosure during natural convection–radiation interaction (in m/s), (Ra=1011, ε=0.9, To=323 K,ΔT=50 K).
Grahic Jump Location
(a) Temperature field in a square enclosure during pure natural convection, [(T−Tc)/ΔT],(Ra=1011, ε=0); (b) temperature field in a square enclosure during natural convection—radiation interaction, [(T−Tc)/ΔT];(Ra=1011, ε=0.9, To=323 K,ΔT=50 K).
Grahic Jump Location
Influence of radiation on Nusselt numbers and fluid temperature; (a) hot wall Nusselt numbers; (b) cold wall Nusselt numbers, and (c) top and bottom wall Nusselt numbers and mid-width fluid temperature for Ra=1011,AR=1,To=323 K, and ΔT=50 K:Nur—radiative Nusselt number without flow; Nuf—convective Nusselt number without radiation, Nuhr,Nucr,Nutr, and, Nubr—radiative Nusselt numbers with coupling; Nuhf and Nucf—convective Nusselt numbers with coupling.
Grahic Jump Location
Variation of convective, radiative and total Nusselt numbers with Rayleigh number for AR=1,To=323 K,ε=0.9, and ΔT=50 K
Grahic Jump Location
Influence of top and bottom wall conduction on hot wall Nusselt number for Ra=1011,AR=1,To=323 K, and ΔT=50 K
Grahic Jump Location
Comparison of present results with published results for Raw=5.4×105,AR=100,ε=0,To=323 K, and ΔT=50 K
Grahic Jump Location
Variation of Nusselt numbers in tall vertical enclosures for Raw=1010,ε=0.9,To=323 K, and ΔT=50 K

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In