Hostname: page-component-8448b6f56d-c4f8m Total loading time: 0 Render date: 2024-04-19T11:07:39.286Z Has data issue: false hasContentIssue false
  • English
  • Français

On free convection experiments in inclined air layers heated from below

Published online by Cambridge University Press:  19 April 2006

Douglas W. Ruth ,
K. G. T. Hollands  and
G. D. Raithby
Douglas W. Ruth
Affiliation:
Department of Mechanical Engineering, University of Waterloo, Ontario, Canada Present address: Department of Mechanical Engineering, University of Calgary, Alberta, Canada T2N 1N4.
K. G. T. Hollands
Affiliation:
Department of Mechanical Engineering, University of Waterloo, Ontario, Canada
G. D. Raithby
Affiliation:
Department of Mechanical Engineering, University of Waterloo, Ontario, Canada
Get access Rights & Permissions [Opens in a new window]

Abstract

The heat transfer and free convective motion, in inclined air layers heated from below, for angles of incidence 0 [les ] ϕ [les ] 30°, and Rayleigh numbers 100 < Ra cos ϕ < 10000, are studied experimentally. Results of both heat-transfer measurements and flow-visualization studies are reported. The purpose of the study was to investigate the fact, first noted by Hollands et al. (1976), that the experimental heat-transfer data, for ϕ > 20°, is not a function of the product Ra cos ϕ only, as expected from theoretical consideration. This discrepancy between theory and experiment is here attributed to a hypothesized secondary transition in the convective motion, due primarily to perturbation velocities in the upslope direction. This secondary transition appears to be the same as that predicted theoretically by Clever & Busse (1977); qualitative agreement with their theory is observed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 96 , Issue 3 , 13 February 1980 , pp. 461 - 479
Copyright
© 1980 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

Birikh, R. V., Gershuni, G. Z., Zhukhovitskii, E. M. & Rudakov, R. N. 1968 Hydrodynamic and thermal instability of a steady convective flow. Prikl. Math. Mech. 32, 256–263.Google Scholar
Clever, R. M. 1973 Finite amplitude longitudinal convection rolls in an inclined layer. Trans. A.S.M.E. C, J. Heat Transfer, 95, 407–408.Google Scholar
Clever, R. M. & Busse, F. H. 1977 Instabilities of longitudinal convection rolls in an inclined layer. J. Fluid Mech. 81, 107–127.Google Scholar
De Graff, J. G. & Van der Held, E. F. M. 1953 The relation between the heat transfer and the convection phenomena in enclosed plane air layers. Appl. Sci. Res. A, 3, 393–409.Google Scholar
Gershuni, G. Z. & Zhukhovitskii, E. M. 1969 Stability of plane-parallel convective motion with respect to spatial perturbations. Prikl. Math. Mech. 33, 855–860.Google Scholar
Hart, J. E. 1971a Stability of the flow in a differentially heated inclined box. J. Fluid Mech. 47, 547–576.Google Scholar
Hart, J. E. 1971b Transition to a wavy vortex regime in convective flow between inclined plates. J. Fluid Mech. 48, 265–271.Google Scholar
Hollands, K. G. T. 1965 Convectional heat transfer between rigid horizontal boundaries after instability. Phys. Fluids 8, 389–390.Google Scholar
Hollands, K. G. T. 1967 Natural convection in a horizontal layer of air with internal constraints. Ph.D. thesis, McGill University.
Hollands, K. G. T. & Konicek, L. 1973 Experimental study of the stability of differentially heated inclined air layers. Int. J. Heat Mass Transfer, 16, 1467–1476.Google Scholar
Hollands, K. G. T., Unny, T. E., Raithby, G. D. & Konicek, L. 1976 Free convective heat transfer across inclined air layers. Int. J. Heat Mass Transfer, 98, 189–193.Google Scholar
Konicek, L. 1971 Experimental determination of critical Rayleigh numbers and heat transfer through horizontal and inclined air layers. M.A.Sc. thesis, University of Waterloo.
Kursweg, U. H. 1970 Stability of natural convection within an inclined channel. Trans. A.S.M.E. C, J. Heat Transfer, 92, 190–191.Google Scholar
Malinov, A. V. 1971 Experimental study of natural convection in differently oriented slotted cavities. Soviet Res. Heat Transfer, 3, 193–199.Google Scholar
Platzman, G. W. 1965 The spectral dynamics of laminar convection. J. Fluid Mech. 23, 481–510.Google Scholar
Unny, T. E. 1972 Thermal instability in differentially heated inclined fluid layers. Trans. A.S.M.E. E, J. Appl. Mech. 39, 41–46.Google Scholar