Hostname: page-component-76fb5796d-dfsvx Total loading time: 0 Render date: 2024-04-29T22:26:22.566Z Has data issue: false hasContentIssue false

Natural convection above unconfined horizontal surfaces

Published online by Cambridge University Press:  29 March 2006

Zeev Rotem
Affiliation:
Department of Mechanical Engineering, University of British Columbia, Vancouver 8, B.C. Canada
Lutz Claassen
Affiliation:
Department of Mechanical Engineering, University of British Columbia, Vancouver 8, B.C. Canada

Abstract

The paper discusses free convective flows above a horizontal plate, both theoretically and on the basis of experiments which yield quantitative data. The theory is applicable to the semi-infinite plate and is extended to cover the complete range of Prandtl number values including Pr → 0 and Pr → ∞. Experiments were carried out to demonstrate the existence of a laminar boundary layer above a horizontal plate at intermediate Grashof (respectively Rayleigh) numbers, and its extent along the plate. This layer breaks down into large-eddy instability some distance from the leading edge. The value of the critical Rayleigh number for this to occur, obtained experimentally using semi-focusing colour-Schlieren photography is in reasonable qualitative agreement with previously known data (Tritton 1963a,b).

Type
Research Article
Copyright
© 1969 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

Claassen, L. 1968 Combined free and forced convection from horizontal plates M. Sc. Thesis, Dept. Mech. Eng., University of British Columbia.
Croft, J. F. 1958 The convective régime and temperature distribution above a horizontal surface Quart. J. Roy. Met. Soc. 84, 418427.Google Scholar
Fishenden, M. & Saunders, O. A. 1930 The calculation of convection heat transfer. Part 2 Engineering, 130, 193194.Google Scholar
Gill, W. N., Zeh, D. W. & Del-Casal, E. 1965 Free convection on a horizontal plate Z.A.M.P. 16, 532541.Google Scholar
Levich, V. G. 1962 Physicochemical Hydrodynamics. Englewood Cliffs, N. J.: Prentice Hall.
Michiyoshi, I. 1964 Heat transfer from an inclined thin flat plate by natural convection Bulletin J.S.M.E. 7, 745750.Google Scholar
Ostrach, S. 1953 An analysis of laminar free-convection flow and heat transfer about a flat plate parallel to the direction of the generating body force. NACA TR 1111.Google Scholar
Reilly, I. G., Tien, CHI & Adelman, M. 1966 Experimental study of natural convective heat transfer in a non-Newtonian fluid Canad. J. Chem. Eng. 44, 6163.Google Scholar
Rotem, Z. 1967 Free convection boundary layer flow over horizontal disks and plates I: similar solutions near plate. Proc. 1st Canadian National Congr. Applied Mech. 2a, 309310.Google Scholar
Rotem, Z. & Claassen, L. Horizontal convection over plates and disks. Chem. Eng. (To be published.)
Rotem, Z., Hauptmann, E. G. & Claassen, L. Semi-focusing colour Schlieren system for use in fluid mechanics and heat transfer. Applied Optics. (To be published.)
Rotem, Z. & Mason, D. M. 1964 Heat and mass transfer from the surface of a cylinder with discontinuous boundary conditions to an incompressible laminar flow. ARPA, 246. Stanford University.
Rotem, Z. & Wu, E. R. 1969 Free convection from a heated downward facing horizontal plate. (To be submitted.).
Chmidt, E. 1932 Schlierenaufnahmen des Temperaturfeldes in der Nähe wärmeabgebender Körper V.D.I. Forschung, 3, 181189.Google Scholar
Stewartson, K. 1958 On free convection from a horizontal plate. Z.A.M.P. 9a, 276282.Google Scholar
Sugawara, S. & Michiyoshi, I. 1955 Heat transfer from a horizontal flat plate by natural convection Trans. Japan Soc. Mech. Engrs. 21, 651657.Google Scholar
Tbitton, D. J. 1963a Turbulent free convection above a heated plate inclined at a small angle to the horizontal J. Fluid Mech. 16, 282312.Google Scholar
Tritton, D. J. 1963b Transition to turbulence in the free convection boundary layers on an inclined heated plate J. Fluid Mech. 16, 417435.Google Scholar
Weise, R. 1935 Wärmeübergang durch freie Konvektion an quadratischen Platten V.D.I. Forschung, 6, 281292.Google Scholar