Free-molecule tube flow and adiabatic wall temperatures

Ephraim M Sparrow, V. K. Jonsson, T. S. Lundgren

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The processes of mass and convective-energy transport in free-molecule flow are shown to bear useful similarities with the process of energy transport by thermal radiation. These similarities have been applied as a basis for deriving the mass and energy transfer characteristics for free-molecule flow in a circular tube. The net mass flow through tubes of various length-diameter ratios has been calculated as a function of the pressures and temperatures at the inlet and exit of the tube. A throughflow may occur even if the inlet and exit pressures are the same, provided that a temperature difference exists. For a length-diameter ratio in excess of 45, a fully developed mass flow relation applies. The distribution of the adiabatic wall temperature along the tube length has also been determined as a function of system pressures and temperatures and of the tube dimensions. Rather large variations of adiabatic wall temperature may occur for long tubes. The throughflow of energy shows characteristics similar to the throughflow of mass.

Original languageEnglish (US)
Pages (from-to)111-118
Number of pages8
JournalJournal of Heat Transfer
Volume85
Issue number2
DOIs
StatePublished - Jan 1 1963

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wall temperature
Pipe flow
tubes
Molecules
mass flow
molecules
Temperature
inlet pressure
circular tubes
Heat radiation
thermal radiation
bears
Energy transfer
mass transfer
energy
temperature gradients
Mass transfer
energy transfer
temperature

Cite this

Sparrow, E. M., Jonsson, V. K., & Lundgren, T. S. (1963). Free-molecule tube flow and adiabatic wall temperatures. Journal of Heat Transfer, 85(2), 111-118. https://doi.org/10.1115/1.3686021

Free-molecule tube flow and adiabatic wall temperatures. / Sparrow, Ephraim M; Jonsson, V. K.; Lundgren, T. S.

In: Journal of Heat Transfer, Vol. 85, No. 2, 01.01.1963, p. 111-118.

Research output: Contribution to journalArticle

Sparrow, EM, Jonsson, VK & Lundgren, TS 1963, 'Free-molecule tube flow and adiabatic wall temperatures', Journal of Heat Transfer, vol. 85, no. 2, pp. 111-118. https://doi.org/10.1115/1.3686021
Sparrow, Ephraim M ; Jonsson, V. K. ; Lundgren, T. S. / Free-molecule tube flow and adiabatic wall temperatures. In: Journal of Heat Transfer. 1963 ; Vol. 85, No. 2. pp. 111-118.
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