Modeling the onset of gas entrainment in a single downward discharge from a stratified gas-liquid region with liquid crossflow

R. C. Bowden, Ibrahim Hassan

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The critical height at the onset of gas entrainment, in a single downward oriented discharge from a stratified gas-liquid region with liquid crossflow, was modeled. The assumptions made in the development of the model reduced the problem to that of a potential flow. The discharge was modeled as a point-sink while the crossflow was said to be uniform at the main pipe inlet. The potential function was determined from a superposition of known solutions for a point-sink and uniform flow. The resulting system of three equations demonstrated that the flow field was dominated by the discharge and crossflow Froude numbers. The system was solved numerically and provided a relationship between the geometry, flow conditions, dip location, and critical height. The model predicted that the critical height increased with the discharge Froude number and decreased with the crossflow Froude number. With no imposed crossflow, the model prediction demonstrated agreement with transient and quasisteady experimental data to within ±30%. Existing experimental correlations showed inconsistent crossflow effects on the critical height and disagreed with the model predictions at high discharge Froude numbers.

Original languageEnglish
Pages (from-to)313041-313048
Number of pages8
JournalJournal of Fluids Engineering, Transactions of the ASME
Volume131
Issue number3
DOIs
Publication statusPublished - Mar 2009
Externally publishedYes

Fingerprint

Air entrainment
Froude number
Discharge (fluid mechanics)
Liquids
Gases
Potential flow
Flow fields
Pipe
Geometry

Keywords

  • Critical height
  • Crossflow
  • Onset of gas entrainment
  • Point-sink

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

@article{1eac24ebdfc64e54bb83ae93b2e6a6ca,
title = "Modeling the onset of gas entrainment in a single downward discharge from a stratified gas-liquid region with liquid crossflow",
abstract = "The critical height at the onset of gas entrainment, in a single downward oriented discharge from a stratified gas-liquid region with liquid crossflow, was modeled. The assumptions made in the development of the model reduced the problem to that of a potential flow. The discharge was modeled as a point-sink while the crossflow was said to be uniform at the main pipe inlet. The potential function was determined from a superposition of known solutions for a point-sink and uniform flow. The resulting system of three equations demonstrated that the flow field was dominated by the discharge and crossflow Froude numbers. The system was solved numerically and provided a relationship between the geometry, flow conditions, dip location, and critical height. The model predicted that the critical height increased with the discharge Froude number and decreased with the crossflow Froude number. With no imposed crossflow, the model prediction demonstrated agreement with transient and quasisteady experimental data to within ±30{\%}. Existing experimental correlations showed inconsistent crossflow effects on the critical height and disagreed with the model predictions at high discharge Froude numbers.",
keywords = "Critical height, Crossflow, Onset of gas entrainment, Point-sink",
author = "Bowden, {R. C.} and Ibrahim Hassan",
year = "2009",
month = "3",
doi = "10.1115/1.3059586",
language = "English",
volume = "131",
pages = "313041--313048",
journal = "Journal of Fluids Engineering, Transactions of the ASME",
issn = "0098-2202",
publisher = "American Society of Mechanical Engineers(ASME)",
number = "3",

}

TY - JOUR

T1 - Modeling the onset of gas entrainment in a single downward discharge from a stratified gas-liquid region with liquid crossflow

AU - Bowden, R. C.

AU - Hassan, Ibrahim

PY - 2009/3

Y1 - 2009/3

N2 - The critical height at the onset of gas entrainment, in a single downward oriented discharge from a stratified gas-liquid region with liquid crossflow, was modeled. The assumptions made in the development of the model reduced the problem to that of a potential flow. The discharge was modeled as a point-sink while the crossflow was said to be uniform at the main pipe inlet. The potential function was determined from a superposition of known solutions for a point-sink and uniform flow. The resulting system of three equations demonstrated that the flow field was dominated by the discharge and crossflow Froude numbers. The system was solved numerically and provided a relationship between the geometry, flow conditions, dip location, and critical height. The model predicted that the critical height increased with the discharge Froude number and decreased with the crossflow Froude number. With no imposed crossflow, the model prediction demonstrated agreement with transient and quasisteady experimental data to within ±30%. Existing experimental correlations showed inconsistent crossflow effects on the critical height and disagreed with the model predictions at high discharge Froude numbers.

AB - The critical height at the onset of gas entrainment, in a single downward oriented discharge from a stratified gas-liquid region with liquid crossflow, was modeled. The assumptions made in the development of the model reduced the problem to that of a potential flow. The discharge was modeled as a point-sink while the crossflow was said to be uniform at the main pipe inlet. The potential function was determined from a superposition of known solutions for a point-sink and uniform flow. The resulting system of three equations demonstrated that the flow field was dominated by the discharge and crossflow Froude numbers. The system was solved numerically and provided a relationship between the geometry, flow conditions, dip location, and critical height. The model predicted that the critical height increased with the discharge Froude number and decreased with the crossflow Froude number. With no imposed crossflow, the model prediction demonstrated agreement with transient and quasisteady experimental data to within ±30%. Existing experimental correlations showed inconsistent crossflow effects on the critical height and disagreed with the model predictions at high discharge Froude numbers.

KW - Critical height

KW - Crossflow

KW - Onset of gas entrainment

KW - Point-sink

UR - http://www.scopus.com/inward/record.url?scp=77952939550&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77952939550&partnerID=8YFLogxK

U2 - 10.1115/1.3059586

DO - 10.1115/1.3059586

M3 - Article

VL - 131

SP - 313041

EP - 313048

JO - Journal of Fluids Engineering, Transactions of the ASME

JF - Journal of Fluids Engineering, Transactions of the ASME

SN - 0098-2202

IS - 3

ER -