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Free convection in the tilted open thermosyphon

Published online by Cambridge University Press:  28 March 2006

F. M. Leslie
F. M. Leslie
Affiliation:
Department of Mathematics, University of Manchester
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Abstract

Approximate solutions are found for the fluid flow and heat transfer in a heated cylinder, closed at the bottom and opening at the top into a reservoir of cool fluid, which has been tilted at a small angle to the vertical.

One solution is found for large Rayleigh number when the boundary layer does not fill the tube, and another for small Rayleigh number when the boundary layer fills the tube. In both cases tilting causes a small increase in heat transfer which is proportional to the square of (l/a) tan ϕ, where l/a is the length–radius ratio and ϕ the angle of tilt.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 7 , Issue 1 , January 1960 , pp. 115 - 127
Copyright
© 1960 Cambridge University Press

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References

Alcock, J. F. 1951 General Discussion on Heat Transfer, Instn Mech. Engrs, Lond., section IV, p. 378.Google Scholar
Holzwarth, H. 1938 Die Entwicklung der Holzwarth-Gas Turbine, Holzwarth-Gasturbinen G. m. b. H., Muehlheim-Ruhn.Google Scholar
Lighthill, M. J. 1953 Quart. J. Mech. Appl. Math. 6, 398.Google Scholar
Martin, B. W. & Cresswell, D. J. 1957 Engineer, 204, 926.Google Scholar