Turbulent heat transfer in the thermal entrance region of a pipe with uniform heat flux

E. M. Sparrow, T. M. Hallman, R. Siegel

Research output: Contribution to journalArticle

88 Citations (Scopus)

Abstract

An analysis has been performed using a method similar to Graetz's formulation for the laminar thermal entry region. The fluid is assumed to have a fully developed turbulent velocity profile throughout the length of the pipe. Local and fully developed Nusselt numbers are presented for fluids with Prandtl numbers ranging from 0.7 to 100 for Reynolds numbers between 50000 and 500000. A thermal entrance length is defined as the heated length required to bring the local Nusselt number to within 5 percent of the fully developed value. This length is found to decrease with increasing Prandtl number, dropping from about 10 diameters for a Prandtl number of 0.7 to less than one diameter for a Prandtl number of 100. Comparison is made with the results of Deissler, who used an integral method-boundary layer approach, and also with available experimental data. The effect of the thermal boundary conditions was studied by comparing the present uniform heat flux results with those of previous investigators who considered uniform wall temperature.

Original languageEnglish (US)
Pages (from-to)37-52
Number of pages16
JournalApplied Scientific Research, Section A
Volume7
Issue number1
DOIs
StatePublished - Jan 1 1957

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turbulent heat transfer
Prandtl number
entrances
Heat flux
heat flux
Pipe
Heat transfer
Nusselt number
Fluids
fluids
wall temperature
entry
boundary layers
Reynolds number
Boundary layers
velocity distribution
Boundary conditions
boundary conditions
formulations
Hot Temperature

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Turbulent heat transfer in the thermal entrance region of a pipe with uniform heat flux. / Sparrow, E. M.; Hallman, T. M.; Siegel, R.

In: Applied Scientific Research, Section A, Vol. 7, No. 1, 01.01.1957, p. 37-52.

Research output: Contribution to journalArticle

Sparrow, E. M. ; Hallman, T. M. ; Siegel, R. / Turbulent heat transfer in the thermal entrance region of a pipe with uniform heat flux. In: Applied Scientific Research, Section A. 1957 ; Vol. 7, No. 1. pp. 37-52.
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