Thermal instability of plane poiseuille flow in the thermal entrance region

Dong June Ahn, Chang Kyun Choi

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The onset of thermal convection in plane Poiseuille flow is investigated theoretically. New stability equations are derived by using the propagation theory considering the variations of disturbance amplitudes in the main flow direction. In the thermal entrance region an analytical procedure to predict the critical conditions for extremely small Prandtl-number fluids is described, based on the local similarity. For xc≤0.01 the critical Rayleigh numbers are well represented in the whole domain of the Prandtl number by Rac = 200(1 + 0.123Pr-1)Ra C =200(1+0.123Pr-1)x C -1 under the conventional boundary layer theory. It is of much interest that the time-independent, three dimensional disturbances become more stable with a decrease in the Prandil number.

Original languageEnglish
Pages (from-to)170-176
Number of pages7
JournalKorean Journal of Chemical Engineering
Volume5
Issue number2
DOIs
Publication statusPublished - 1988 Sep
Externally publishedYes

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)

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