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

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

doi:10.1615/TFEC2018.fli.021601

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

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

Sección de Ingeniería Mecánica

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-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 language	English
Title of host publication	Proceedings of the 3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018
Publisher	Begell House Inc.
Pages	897-900
Number of pages	4
ISBN (Electronic)	9781567004724
DOIs	https://doi.org/10.1615/TFEC2018.fli.021601
State	Published - 2018
Event	3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018 - Fort Lauderdale, United States Duration: 4 Mar 2018 → 7 Mar 2018

Publication series

Name	Proceedings of the Thermal and Fluids Engineering Summer Conference
Volume	2018-March
ISSN (Electronic)	2379-1748

Conference

Conference	3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018
Country/Territory	United States
City	Fort Lauderdale
Period	4/03/18 → 7/03/18

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

Keywords

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

Access to Document

10.1615/TFEC2018.fli.021601

Cite this

Castillo, D., Ortiz-Vidal, L. E., & Valverde, Q. (2018). Critical flow velocity for collapse of a clamped-clamped pipe conveying gas-liquid flow. In Proceedings of the 3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018 (pp. 897-900). (Proceedings of the Thermal and Fluids Engineering Summer Conference; Vol. 2018-March). Begell House Inc.. https://doi.org/10.1615/TFEC2018.fli.021601

@inproceedings{1e37b35f6c3e435d9cd0f6b1fbf99c55,

title = "Critical flow velocity for collapse of a clamped-clamped pipe conveying gas-liquid flow",

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.",

keywords = "Dynamic stability, Flow-induced vibration, Pipe flow, Two-phase flow",

author = "David Castillo and Ortiz-Vidal, \{L. Enrique\} and Quino Valverde",

note = "Publisher Copyright: {\textcopyright} 2018 Begell House Inc.. All rights reserved.; 3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018 ; Conference date: 04-03-2018 Through 07-03-2018",

year = "2018",

doi = "10.1615/TFEC2018.fli.021601",

language = "English",

series = "Proceedings of the Thermal and Fluids Engineering Summer Conference",

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booktitle = "Proceedings of the 3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018",

}

Castillo, D, Ortiz-Vidal, LE & Valverde, Q 2018, Critical flow velocity for collapse of a clamped-clamped pipe conveying gas-liquid flow. in Proceedings of the 3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018. Proceedings of the Thermal and Fluids Engineering Summer Conference, vol. 2018-March, Begell House Inc., pp. 897-900, 3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018, Fort Lauderdale, United States, 4/03/18. https://doi.org/10.1615/TFEC2018.fli.021601

Critical flow velocity for collapse of a clamped-clamped pipe conveying gas-liquid flow. / Castillo, David; Ortiz-Vidal, L. Enrique; Valverde, Quino.
Proceedings of the 3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018. Begell House Inc., 2018. p. 897-900 (Proceedings of the Thermal and Fluids Engineering Summer Conference; Vol. 2018-March).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Critical flow velocity for collapse of a clamped-clamped pipe conveying gas-liquid flow

AU - Castillo, David

AU - Ortiz-Vidal, L. Enrique

AU - Valverde, Quino

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - Dynamic stability

KW - Flow-induced vibration

KW - Pipe flow

KW - Two-phase flow

UR - https://www.scopus.com/pages/publications/85090765026

U2 - 10.1615/TFEC2018.fli.021601

DO - 10.1615/TFEC2018.fli.021601

M3 - Conference contribution

AN - SCOPUS:85090765026

T3 - Proceedings of the Thermal and Fluids Engineering Summer Conference

SP - 897

EP - 900

BT - Proceedings of the 3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018

PB - Begell House Inc.

T2 - 3rd Thermal and Fluid Engineering Summer Conference, TFESC 2018

Y2 - 4 March 2018 through 7 March 2018

ER -

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

Abstract

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Conference

UN SDGs

Keywords

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