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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


21/02/2020 Collaboration for SET 2020: Editorial Board of our journal and Organizing Committee of the 19th International Conference on Sustainable Energy Technologies (SET 2020) have agreed to collaborate. Extended versions of the selected papers from the conference will be published in our journal. For more see Events.


25/12/2019 Most Cited Paper Award: The paper authored by Manoj Sahni and Sanjeev Sharma entitled as “Elastic-plastic deformation of a thin rotating solid disk of exponentially varying density" is awarded the 2019 Most Cited Paper Award of Research on Engineering Structures and Materials (RESM).

25/12/2019 Best Paper Award: The paper authored by Marcelo Mesquita do Amaral, Matheus Wanglon Ferreira and Mauro de Vasconcellos Real entitled as “A simplified method for analysis of reinforced concrete beams exposed to fire situation” is awarded the 2019 Best Paper Award of Research on Engineering Structures and Materials (RESM).


13/11/2019 Data articles as a new type of submision: Editorial Board of our journal have decided to accept a new type of submission: data articles. The focus of these papers is only on data and how it is collected but not on its interpretation and drawn conclusions. For more see News section.


(More details of the news may be given in the News section)


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LATEST AWARDS


2019 Most Cited Paper Award:

The paper authored by Manoj Sahni and Sanjeev Sharma entitled as “Elastic-plastic deformation of a thin rotating solid disk of exponentially varying density" is awarded the


2019 Best Paper Award:

The paper authored by Marcelo Mesquita do Amaral, Matheus Wanglon Ferreira and Mauro de Vasconcellos Real entitled as “A simplified method for analysis of reinforced concrete beams exposed to fire situation” is awarded the 


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