Heat transfer to longitudinal laminar flow between cylinders

E. M. Sparrow, A. L. Loeffler, H. A. Hubbard

Research output: Contribution to journalArticle

70 Citations (Scopus)

Abstract

Consideration is given to the fully developed heat-transfer characteristics for longitudinal laminar flow between cylinders arranged in an equilateral triangular array. The analysis is carried out for the condition of uniform heat transfer per unit length. Solutions are obtained for the temperature distribution, and from these, Nusselt numbers are derived for a wide range of spacing-to-diameter ratios. It is found that as the spacing ratio increases, so also does the wall-to-bulk temperature difference for a fixed heat transfer per unit length. Corresponding to a uniform surface temperature around the circumference of a cylinder, the circumferential variation of the local heat flux is computed. For spacing ratios of 1.5 2.0 and greater, uniform peripheral wall temperature and uniform peripheral heat flux are simultaneously achieved. A simplified analysis which neglects circumferential variations is also carried out, and the results are compared with those from the more exact formulation.

Original languageEnglish (US)
Pages (from-to)415-422
Number of pages8
JournalJournal of Heat Transfer
Volume83
Issue number4
DOIs
StatePublished - Jan 1 1961

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Engine cylinders
laminar flow
Laminar flow
heat transfer
spacing
Heat transfer
Heat flux
heat flux
circumferences
wall temperature
Nusselt number
Temperature
surface temperature
temperature gradients
Temperature distribution
temperature distribution
formulations

Cite this

Sparrow, E. M., Loeffler, A. L., & Hubbard, H. A. (1961). Heat transfer to longitudinal laminar flow between cylinders. Journal of Heat Transfer, 83(4), 415-422. https://doi.org/10.1115/1.3683658

Heat transfer to longitudinal laminar flow between cylinders. / Sparrow, E. M.; Loeffler, A. L.; Hubbard, H. A.

In: Journal of Heat Transfer, Vol. 83, No. 4, 01.01.1961, p. 415-422.

Research output: Contribution to journalArticle

Sparrow, EM, Loeffler, AL & Hubbard, HA 1961, 'Heat transfer to longitudinal laminar flow between cylinders', Journal of Heat Transfer, vol. 83, no. 4, pp. 415-422. https://doi.org/10.1115/1.3683658
Sparrow, E. M. ; Loeffler, A. L. ; Hubbard, H. A. / Heat transfer to longitudinal laminar flow between cylinders. In: Journal of Heat Transfer. 1961 ; Vol. 83, No. 4. pp. 415-422.
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