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Transient combined laminar free convection and radiation in a rectangular enclosure

Published online by Cambridge University Press:  11 April 2006

D. W. Larson  and
R. Viskanta
D. W. Larson
Affiliation:
Sandia Laboratories, Albuquerque, New Mexico 87115
R. Viskanta
Affiliation:
Purdue University, West Lafayette, Indiana 47907
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Abstract

The mass, momentum and energy-transfer equations are solved to determine the response of a rectangular enclosure to a fire or other high-temperature heat source. The effects of non-participating radiation, wall heat conduction, and laminar natural convection are examined. The results indicate that radiation dominates the heat transfer in the enclosure and alters the convective flow patterns significantly. At a dimensionless time of 5·0 the surface of the wall opposite a vertical heated wall has achieved over 99% of the hot-wall temperature when radiation is included but has yet to change from the initial temperature for pure convection in the enclosure. At the same time the air at the centre of the enclosure achieves 33% and 13% of the hot-wall temperature with and without radiation, respectively. For a hot upper wall the convection velocities are not only opposite in direction but an order of magnitude larger when radiation transfer between the walls is included.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 78 , Issue 1 , 5 November 1976 , pp. 65 - 85
Copyright
© 1976 Cambridge University Press

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References

Aziz, K. & Hellums, J. D. 1967 Numerical solution of the three dimensional equations of motion for laminar natural convection. Phys. Fluids, 10, 314.Google Scholar
Chen, T. S. 1971 A three-dimensional steady state mathematical model of a glass furnace. Ph.D. thesis, Purdue University.
Cormack, D. E., Leal, L. G. & Seinfeld, J. H. 1974 Natural convection in a shallow cavity with differentially heated end walls. Part 2. Numerical solutions. J. Fluid Mech. 65, 231.Google Scholar
Davis, G. deVahl 1968 Laminar natural convection in enclosed rectangular cavity. Int. J. Heat Mass Transfer, 11, 1675.Google Scholar
Elder, J. W. 1965 Laminar free convection in a vertical slot. J. Fluid Mech. 23, 77.Google Scholar
Greenspan, D. & Schultz, D. 1974 Natural convection in an enclosure with localized heating from below. Comp. Methods Appl. Mech. Engng, 3, 1.Google Scholar
Hellums, J. D. & Churchill, S. W. 1961 Computation of natural convection by finite-difference methods. A.S.M.E., Int. Develop. in Heat Transfer, 5, 984.Google Scholar
Larson, D. W. 1972 Analytical study of heat transfer in an enclosure with flames. Ph.D. thesis, Purdue University.
Newell, M. E. & Schmidt, F. W. 1970 Heat transfer by laminar convection within rectangular enclosures. J. Heat Transfer, Trans. A.S.M.E. C92, 1959.Google Scholar
Ozoe, H., Sayama, H. & Churchill, S. W. 1974 Natural convection in inclined square channel. Int. J. Heat Mass Transfer, 17, 401.Google Scholar
Ozoe, H., Sayama, H. & Churchill, S. W. 1975 Natural convection in an inclined rectangular channel at various aspect ratios and angles — experimental measurements. Int. J. Heat Mass Transfer, 18, 1425.Google Scholar
Ostrach, S. 1972 Natural convection in enclosures. Adv. Heat Transfer, 8, 161.Google Scholar
Peaceman, D. W. & Rachford, H. H., 1955 The numerical solution of parabolic and elliptic difference equations. J. S.I.A.M. 3, 28.Google Scholar
Peckover, R. S. & Hutchinson, I. S. 1974 Convective rolls driven by internal heat sources. Phys. Fluids, 17, 1369.Google Scholar
Roache, P. J. 1972 Computational Fluid Dynamics. Albuquerque: Hermosa.
Rubel, A. & Landis, F. 1969 Numerical study of natural convection in a vertical rectangular enclosure. Phys. Fluids Suppl. 12, II 208.Google Scholar
Sparrow, E. M. & Cess, R. D. 1966 Radiation Heat Transfer. Belmont, California: Brooks/Cole Publishing.
Toor, J. S. & Viskanta, R. 1972 A critical examination of the validity of simplified models for radiant heat transfer analysis. Int. J. Heat Mass Transfer, 15, 1553.Google Scholar
Torrance, K. E. 1968 Comparison of finite-difference computations of natural convection. J. Res. Nat. Bur. Stand. B72, 281.Google Scholar
Torrance, K. E., Orloff, L. & Rockett, J. A. 1969 Experiments on natural convection in enclosures with localized heating from below. J. Fluid Mech. 36, 21.Google Scholar
Torrance, K. E. & Rockett, J. A. 1969 Numerical study of natural convection in an enclosure with localized heating from below: creeping flow to the onset of laminar instability. J. Fluid Mech. 36, 33.Google Scholar
Wilkes, J. O. & Churchill, S. W. 1966 The finite-difference computation of natural convection in a rectangular enclosure. A.I.Ch.E. J. 12, 161.Google Scholar