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Research Article

Natural frequencies, modes and critical velocities of top tensioned cantilever pipes conveying pressurized steady two-phase flow under thermal loading 

Adeshina S. Adegoke, Ayo A. Oyediran*

Department of Mechanical Engineering, University of Lagos, Nigeria

Keywords

Abstract


Hamilton’s principle, 

Cantilever pipe conveying two-phase flow,                       

Critical velocity,   

Natural frequency, 

Multiple scale perturbation technique


This paper studied the planar dynamics of top tensioned cantilevered pipes conveying pressurized steady two-phase flow under thermal loading. The governing equations of motions were derived based on Hamilton’s principle, the centerline is assumed to be extensible in order to account for possible thermal expansion; resulting to a set of coupled axial and transverse partial differential equations. Analytical approach was used to resolve the governing equations using the multiple scale perturbation technique, which aided the development of theoretical schemes for estimating the natural frequencies and mode shapes. Numerical results were presented for a case study of two phase flow of water and air with the stability and dynamic behavior of the system studied linearly via Argand diagrams which were constructed as the mixture flow velocity is increased for various void fractions. The Argand diagram assessment of the axial vibration natural frequencies shows that the attainment of the critical velocity is delayed for a cantilever pipe conveying two phase flow compared to when the pipe is conveying single phase flow. The result of the linear analysis of the transverse vibration reveals that at the critical mixture velocity, the system loses stability through Hopf bifurcation. Similarly, to the axial vibration, the attainment of the critical velocity was observed to be at higher velocities for a cantilever pipe conveying two phase flow as compared to when the pipe is conveying single phase flow. In addition to, the critical velocity is observed to be increasing as the void fraction of the two phase flow increases. The assessment of the effect of thermal loading, pressurization and top tension on the attainment of the critical velocity shows that thermal loading, pressurization and compression at the tip hastens the attainment of the critical velocity while tensioning top tension delays the attainment of the critical velocity.

 © 2018 MIM Research Group. All rights reserved.

DOI: http://dx.doi.org/10.17515/resm2017.16en0301                          Full Text

LATEST News


27/12/2022 Reviewer Awards: The winners of 2022 reviewer awards of Research on Engineering Structures and Materials (RESM) are announced. More information can be found at Reviewer Awards section. 


23/12/2022 Best Paper Award: According to the Advisory Board decision, the paper authored by Nitin Kumar, Michele Barbato, Erika L. Rengifo-López and Fabio Matta entitled as “Capabilities and limitations of existing finite element simplified micro-modeling techniques for unreinforced masonry” is awarded the 2022 Best Paper Award of Research on Engineering Structures and Materials (RESM). 

23/12/2022 Most Cited Paper Award:  According to the Editorial Board evaluation, the paper authored by Aykut Elmas, Güliz Akyüz, Ayhan Bergal, Müberra Andaç and Ömer Andaç entitled as “Mathematical modelling of drug release" is awarded the 2022 Most Cited Paper Award of Research on Engineering Structures and Materials (RESM). 


13/04/2022 Fraudulent Emails Impersonating Our Journal: We noticed that some emails are sent to some people impersonating our journal staff as sender and requesting recipients to follow some links. Our journal and staff has nothing to do with these emails and please do not follow the given links. Senders seem to have malicious aims. The emails include a portion of some of our previous emails to the journal users and researchers. This is only to deceive the receiver and make them trust the email. Do not follow any links or perform suspicious actions specified in these emails. Please, check the sender info carefully. Even the sender address or name resembles the journal related words they are different, generally in an easily noticeable way.


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LATEST AWARDS


2022 Reviewer Awards:

Please, visit Reviewer Awards section for the winners of the 2022 RESM reviewer awards.


2022 Best Paper Award:

The paper authored by Nitin Kumar, Michele Barbato, Erika L. Rengifo-López and Fabio Matta entitled as “Capabilities and limitations of existing finite element simplified micro-modeling techniques for unreinforced masonry” is awarded the 


2022 Most Cited Paper Award:

The paper authored by Aykut Elmas, Güliz Akyüz, Ayhan Bergal, Müberra Andaç and Ömer Andaç entitled as “Mathematical modelling of drug release" is awarded the


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