Analysis of two-dimensional freezing on the outside of a coolant-carrying tube

E. M. Sparrow, C. F. Hsu

Research output: Contribution to journalArticle

54 Citations (Scopus)

Abstract

The solution methodology developed in the preceding paper has been amplified, adapted, and then employed to solve the conjugate phase change-convection problem which results when a coolant passes through a tube situated in a liquid phase-change medium. The axial temperature increase experienced by the coolant gives rise to two-dimensional freezing about the tube. In the first part of the paper, the procedures used to incorporate the coolant energy equation and the various boundary conditions into the solution methodology are described. A closed-form analytical solution is then derived to start the main numerical solutions. The numerical work was focused on gaseous coolants because they give rise to much larger axial variations than do liquid coolants. Results were obtained for the thickness of the frozen layer, the coolant bulk temperature, the tube wall temperature, and the energy extracted from the phase-change medium, with the coolant Stanton number, the Biot number, and the solid-phase Stefan numbers as parameters. Among the parameters, the results were not very sensitive to the Stanton and Stefan numbers but were quite responsive to the Biot number.

Original languageEnglish (US)
Pages (from-to)1345-1357
Number of pages13
JournalInternational Journal of Heat and Mass Transfer
Volume24
Issue number8
DOIs
StatePublished - Aug 1981

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coolants
Freezing
Coolants
freezing
tubes
Stanton number
Biot number
methodology
wall temperature
Liquids
Temperature
solid phases
liquid phases
convection
Boundary conditions
boundary conditions
temperature
energy
liquids

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Analysis of two-dimensional freezing on the outside of a coolant-carrying tube. / Sparrow, E. M.; Hsu, C. F.

In: International Journal of Heat and Mass Transfer, Vol. 24, No. 8, 08.1981, p. 1345-1357.

Research output: Contribution to journalArticle

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