Laminar flow natural convection from the open vertical cylinder with uniform heat flux at the wall

H. J. Hetherington, Tom Patten

Research output: Contribution to journalArticle

Abstract

A solution is obtained for fully developed flow of a constant-property fluid, with the lowest temperature equal to the fluid bulk temperature. This is satisfactory only for low values of Rayleigh number, up to about 20, that is, for relatively long cylinders. A second solution has in addition a thermal entry region, for application to shorter cylinders, to the point where the entry region fills the cylinder. This solution has not yet been made mathematically exact. Nusselt numbers up to the terminal point, at Rayleigh number of about 16000, are identical with those for the finite difference result of Dyer {6}. © 1976.

Original languageEnglish
Pages (from-to)1121-1125
Number of pages5
JournalInternational Journal of Heat and Mass Transfer
Volume19
Issue number10
Publication statusPublished - Oct 1976

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Engine cylinders
Laminar flow
Natural convection
Heat flux
Fluids
Nusselt number
Temperature

Cite this

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title = "Laminar flow natural convection from the open vertical cylinder with uniform heat flux at the wall",
abstract = "A solution is obtained for fully developed flow of a constant-property fluid, with the lowest temperature equal to the fluid bulk temperature. This is satisfactory only for low values of Rayleigh number, up to about 20, that is, for relatively long cylinders. A second solution has in addition a thermal entry region, for application to shorter cylinders, to the point where the entry region fills the cylinder. This solution has not yet been made mathematically exact. Nusselt numbers up to the terminal point, at Rayleigh number of about 16000, are identical with those for the finite difference result of Dyer {6}. {\circledC} 1976.",
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Laminar flow natural convection from the open vertical cylinder with uniform heat flux at the wall. / Hetherington, H. J.; Patten, Tom.

In: International Journal of Heat and Mass Transfer, Vol. 19, No. 10, 10.1976, p. 1121-1125.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Patten, Tom

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N2 - A solution is obtained for fully developed flow of a constant-property fluid, with the lowest temperature equal to the fluid bulk temperature. This is satisfactory only for low values of Rayleigh number, up to about 20, that is, for relatively long cylinders. A second solution has in addition a thermal entry region, for application to shorter cylinders, to the point where the entry region fills the cylinder. This solution has not yet been made mathematically exact. Nusselt numbers up to the terminal point, at Rayleigh number of about 16000, are identical with those for the finite difference result of Dyer {6}. © 1976.

AB - A solution is obtained for fully developed flow of a constant-property fluid, with the lowest temperature equal to the fluid bulk temperature. This is satisfactory only for low values of Rayleigh number, up to about 20, that is, for relatively long cylinders. A second solution has in addition a thermal entry region, for application to shorter cylinders, to the point where the entry region fills the cylinder. This solution has not yet been made mathematically exact. Nusselt numbers up to the terminal point, at Rayleigh number of about 16000, are identical with those for the finite difference result of Dyer {6}. © 1976.

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