Modeling of the Onset of Gas Entrainment through a Finite-Side Branch

M. Ahmed, Ibrahim Hassan, N. Esmail

Research output: Contribution to journalArticle

14 Citations (Scopus)


A theoretical investigation has been conducted for the prediction of the critical height at the onset of gas entrainment during single discharge from a stratified, two-phase region through a side branch with a finite diameter. Two different models have been developed, a simplified point-sink model and a three-dimensional finite-branch model. The two models are based on a new criterion for the onset of gas entrainment. The results of the predicted critical heights at the onset of gas entrainment showed that the finite-branch model approaches the physical limits at low Froude numbers. However, as the values of the Froude number increased, the predictions of both models eventually converged to the same value. Based on the results of the models, the critical height corresponding to the onset of gas entrainment was found to be a function of Froude number and fluid densities. The results of both models are compared with available experimental data. The comparisons illustrate a very good agreement between the measured and predicted values.

Original languageEnglish
Pages (from-to)902-909
Number of pages8
JournalJournal of Fluids Engineering, Transactions of the ASME
Issue number5
Publication statusPublished - Sep 2003
Externally publishedYes


ASJC Scopus subject areas

  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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