Critical flow velocity for collapse of a clamped-clamped pipe conveying gas-liquid flow

David Castillo, L. Enrique Ortiz-Vidal, Quino Valverde

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The critical flow velocity for a horizontal clamped-clamped pipe conveying two-phase flow is investigated. The system is represented by a coupled fluid-structure fourth-order Partial Differential Equation (PDE). In the case of the multiphase flow, the no-slip homogeneous flow is adopted. The PDE is transformed to a set of first-order ODEs using both Galerkin and state-space methods. The final system of equations represents an eigenvalue problem, where the eigenvalues are the natural frequency of the system. Specialized software has been employed to solve it. Results of critical flow velocity of gas as a function of homogeneous void fraction (fraction of the transversal area occupied by the gas) are presented representing a velocity stability map. The later suggest that the critical flow velocity increases with increasing the homogeneous void fraction.

Original languageEnglish
Title of host publicationProceedings of the 3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018
PublisherBegell House Inc.
Pages897-900
Number of pages4
ISBN (Electronic)9781567004724
DOIs
StatePublished - 2018
Event3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018 - Fort Lauderdale, United States
Duration: 4 Mar 20187 Mar 2018

Publication series

NameProceedings of the Thermal and Fluids Engineering Summer Conference
Volume2018-March
ISSN (Electronic)2379-1748

Conference

Conference3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018
Country/TerritoryUnited States
CityFort Lauderdale
Period4/03/187/03/18

Keywords

  • Dynamic stability
  • Flow-induced vibration
  • Pipe flow
  • Two-phase flow

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