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Laminar‐Turbulent transition for nonisothermal pipe flow
Author(s) -
Scheele George F.,
Greene Howard L.
Publication year - 1966
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690120420
Subject(s) - turbulence , laminar flow , mechanics , reynolds number , newtonian fluid , thermodynamics , natural convection , pipe flow , flow (mathematics) , viscosity , materials science , convection , physics
Finite disturbance pipe flow stability criteria are evaluated for constant flux heating of liquids flowing through vertical pipes under small disturbances conditions where velocity profile distortion due to natural convection is significat. For Newtonian flow in long heated pipes the analysis of Hanks correctly predicts the transition to turbulence observed for upflow heating and is qualitatively consistent with the transition to asymmetric flow which occurs in downflow heating, whereas the criterion of Ryan and Johnson predicts stability for experimentally unstable flows. In the practically more important case of short pipe lengths experimental data obtained over the viscosity range from 1 to 21 centiposises show that natural convection induced transition will occur at low Reynolds numbers for both Newtonian and non‐Newtonian liquids for conditions consistent with predictions of Hanks' analysis.