Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-19T09:40:31.019Z Has data issue: false hasContentIssue false
  • English
  • Français

Pressure- and buoyancy-driven thermal convection in a rectangular enclosure

Published online by Cambridge University Press:  29 March 2006

L. W. Spradley  and
S. W. Churchill
L. W. Spradley
Affiliation:
Lockheed Missiles and Space Company, Huntsville, Alabama 35807
S. W. Churchill
Affiliation:
Department of Chemical and Biochemical Engineering, University of Pennsylvania, Philadelphia 19174
Get access Rights & Permissions [Opens in a new window]

Abstract

Results are presented for unsteady laminar thermal convection in compressible fluids at various reduced levels of gravity in a rectangular enclosure which is heated on one side and cooled on the opposite side. The results were obtained by solving numerically the equations of conservation for a viscous, compressible, heat-conducting, ideal gas in the presence of a gravitational body force. The formulation differs from the Boussinesq simplification in that the effects of variable density are completely retained. A conservative, explicit, time-dependent, finite-difference technique was used and good agreement was found for the limited cases where direct comparison with previous investigations was possible. The solutions show that the thermally induced motion is acoustic in nature at low levels of gravity and that the unsteady-state rate of heat transfer is thereby greatly enhanced relative to pure conduction. The nonlinear variable density profile skews the streamlines towards the cooler walls but is shown to have little effect on the steady-state isotherms.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 70 , Issue 4 , 26 August 1975 , pp. 705 - 720
Copyright
© 1975 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bannister, T. C. et al. 1973 N.A.S.A. Tech. Memo. X-64772.
Grodzka, P. G. & Bannister, T. C. 1972 Science, 176, 506.
Harlow, F. H. & Amsden, A. A. 1971 J. Comp. Phys. 8, 197.
Heinmiller, P. J. 1970 T.R.W. Rep. no. 17618-H080-R0-00. Houston, Texas.
Hellums, J. D. & Churchill, S. W. 1962 A.I.Ch.E. J. 8, 690.
Knudsen, J. R. 1957 J. Acoust. Soc. Am. 26, 51.
Larkin, B. K. 1967 A.I.A.A. Paper, no. 67–337.
Luikov, A. V. & Berkovsky, B. M. 1970 Int. J. Heat Mass Transfer, 13, 741.
Richtmyer, R. D. & Morton, K. W. 1967 Difference Methods for Initial Value Problems, 2nd edn. Interscience.
Spradley, L. W. 1973 12th Aerospace Sci. Meeting, A.I.A.A. Paper, no. 74–76.
Spradley, L. W., Bourgeois, S. V., Fan, C. & Grodzka, P. G. 1973 N.A.S.A. Contractor Rep. no. 2269.
Thuraisamy, V. 1972 Bellcom Rep. TM-72-1022-1. Washington, D.C.
Torrance, K. E. 1968 J. Res. Nat. Bur. Stand. B 72, 281.
Torrance, K. E., Davis, R., Eike, K., Gill, P., Gutman, D., Hsui, A., Lyons, S. & Zein, H. 1972 J. Fluid Mech. 51, 221.
Trilling, L. 1955 J. Acoust. Soc. Am. 27, 425.
Wilkes, J. O. & Churchill, S. W. 1966 A.I.Ch.E. J. 12, 161.