Internal-flow Nusselt numbers for the low-Reynolds-number end of the laminar-to-turbulent transition regime

J. P. Abraham, E. M. Sparrow, W. J. Minkowycz

Research output: Contribution to journalArticle

73 Scopus citations

Abstract

For heat exchange devices that operate in the low-Reynolds-number end of the laminar-to-turbulent transition regime, logical design is thwarted by the absence of reliable Nusselt number information. The currently accepted Nusselt number correlation for the transition regime, due to Gnielinski, is restricted to the high-Reynolds-number end of that regime. This limitation results from the need for a valid friction factor - Reynolds correlation for input to the Gnielinski equation. Heretofore, such correlations have been unavailable for the low-Reynolds-number end. By the application of a new fluid flow model which is valid for all flow regimes and smoothly and automatically bridges between regimes, the needed correlations have been determined. On this basis, fully developed Nusselt number results are provided for (a) a round pipe of axially uniform cross section, (b) the downstream end of a round pipe fitted with a conical enlargement (diverging nozzle) at its upstream end, and (c) a parallel-plate channel. All results are for a fluid with Prandtl number equal to 0.7.

Original languageEnglish (US)
Pages (from-to)584-588
Number of pages5
JournalInternational Journal of Heat and Mass Transfer
Volume54
Issue number1-3
DOIs
StatePublished - Jan 15 2011

Keywords

  • Internal convection
  • Low-Reynolds number
  • Nusselt numbers
  • Transitional flow

Fingerprint Dive into the research topics of 'Internal-flow Nusselt numbers for the low-Reynolds-number end of the laminar-to-turbulent transition regime'. Together they form a unique fingerprint.

  • Cite this