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Dynamics of spinning pipes conveying flow with internal elliptical cross-section surrounded by an external annular fluid by considering rotary inertia effects

Ali Ebrahimi-Mamaghani, Omid Koochakianfard, Navid Mostoufi Orcid Logo, Hamed Haddad Khodaparast Orcid Logo

Applied Mathematical Modelling

Swansea University Author: Hamed Haddad Khodaparast Orcid Logo

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DOI (Published version): 10.1016/j.apm.2023.03.043

Abstract

In this work, the vibration and stability of spinning pipes with an internal elliptical cross-section concurrently subjected to internal flow and external annular fluid are analyzed by considering rotary inertia effects and the non-uniformity of internal flow velocity distribution. To model the syst...

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Published in: Applied Mathematical Modelling
ISSN: 0307-904X
Published: Elsevier BV
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URI: https://cronfa.swan.ac.uk/Record/cronfa63137
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spelling v2 63137 2023-04-13 Dynamics of spinning pipes conveying flow with internal elliptical cross-section surrounded by an external annular fluid by considering rotary inertia effects f207b17edda9c4c3ea074cbb7555efc1 0000-0002-3721-4980 Hamed Haddad Khodaparast Hamed Haddad Khodaparast true false 2023-04-13 AERO In this work, the vibration and stability of spinning pipes with an internal elliptical cross-section concurrently subjected to internal flow and external annular fluid are analyzed by considering rotary inertia effects and the non-uniformity of internal flow velocity distribution. To model the system, axial force, internal pressure, hygro-thermal loads, viscoelastic properties, and gravitational effects were incorporated. The coupled dynamic equations of transverse motions of the pipe were derived by exploiting the extended Hamilton's principle. With the aid of the Laplace transform and Galerkin discretization method, eigenvalues and stability conditions of the system were determined. Moreover, the divergence instability conditions of the system were acquired analytically. Then, the current investigation results were compared and verified with existing experimental and theoretical data in open literature. The impacts of key parameters, such as stabilizer characteristics, boundary conditions, geometrical features, and external fluid mass ratio, on the vibration frequencies and instability thresholds, were evaluated. It was concluded that, contrary to the internal circular cross-section case, the divergence instability region can be observed in the stability evaluation of the system with the internal elliptical cross-section. It was found that considering the rotary inertia effects reduces the critical velocities of the system. Also, the results showed that by increasing the stabilizer damping, the detached stable region is detected in the stability map of cantilevered pipes. The present research results can be beneficial for the optimal design of industrial equipment such as drill string pipes. Journal Article Applied Mathematical Modelling Elsevier BV 0307-904X annular fluid, rotary inertia, velocity distribution 0 0 0 0001-01-01 10.1016/j.apm.2023.03.043 http://dx.doi.org/10.1016/j.apm.2023.03.043 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University The Iran National Science Foundation (INSF) is acknowledged for the postdoctoral fellowship granted to Dr. Ali Ebrahimi-Mamaghani (INSF-Grant No. 97009741). 2023-05-12T10:28:03.6667892 2023-04-13T09:58:03.4796597 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Ali Ebrahimi-Mamaghani 1 Omid Koochakianfard 2 Navid Mostoufi 0000-0002-3285-6300 3 Hamed Haddad Khodaparast 0000-0002-3721-4980 4 Under embargo Under embargo 2023-04-13T09:59:56.8721987 Output 2726214 application/pdf Proof true 2024-04-07T00:00:00.0000000 true eng
title Dynamics of spinning pipes conveying flow with internal elliptical cross-section surrounded by an external annular fluid by considering rotary inertia effects
spellingShingle Dynamics of spinning pipes conveying flow with internal elliptical cross-section surrounded by an external annular fluid by considering rotary inertia effects
Hamed Haddad Khodaparast
title_short Dynamics of spinning pipes conveying flow with internal elliptical cross-section surrounded by an external annular fluid by considering rotary inertia effects
title_full Dynamics of spinning pipes conveying flow with internal elliptical cross-section surrounded by an external annular fluid by considering rotary inertia effects
title_fullStr Dynamics of spinning pipes conveying flow with internal elliptical cross-section surrounded by an external annular fluid by considering rotary inertia effects
title_full_unstemmed Dynamics of spinning pipes conveying flow with internal elliptical cross-section surrounded by an external annular fluid by considering rotary inertia effects
title_sort Dynamics of spinning pipes conveying flow with internal elliptical cross-section surrounded by an external annular fluid by considering rotary inertia effects
author_id_str_mv f207b17edda9c4c3ea074cbb7555efc1
author_id_fullname_str_mv f207b17edda9c4c3ea074cbb7555efc1_***_Hamed Haddad Khodaparast
author Hamed Haddad Khodaparast
author2 Ali Ebrahimi-Mamaghani
Omid Koochakianfard
Navid Mostoufi
Hamed Haddad Khodaparast
format Journal article
container_title Applied Mathematical Modelling
institution Swansea University
issn 0307-904X
doi_str_mv 10.1016/j.apm.2023.03.043
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering
url http://dx.doi.org/10.1016/j.apm.2023.03.043
document_store_str 0
active_str 0
description In this work, the vibration and stability of spinning pipes with an internal elliptical cross-section concurrently subjected to internal flow and external annular fluid are analyzed by considering rotary inertia effects and the non-uniformity of internal flow velocity distribution. To model the system, axial force, internal pressure, hygro-thermal loads, viscoelastic properties, and gravitational effects were incorporated. The coupled dynamic equations of transverse motions of the pipe were derived by exploiting the extended Hamilton's principle. With the aid of the Laplace transform and Galerkin discretization method, eigenvalues and stability conditions of the system were determined. Moreover, the divergence instability conditions of the system were acquired analytically. Then, the current investigation results were compared and verified with existing experimental and theoretical data in open literature. The impacts of key parameters, such as stabilizer characteristics, boundary conditions, geometrical features, and external fluid mass ratio, on the vibration frequencies and instability thresholds, were evaluated. It was concluded that, contrary to the internal circular cross-section case, the divergence instability region can be observed in the stability evaluation of the system with the internal elliptical cross-section. It was found that considering the rotary inertia effects reduces the critical velocities of the system. Also, the results showed that by increasing the stabilizer damping, the detached stable region is detected in the stability map of cantilevered pipes. The present research results can be beneficial for the optimal design of industrial equipment such as drill string pipes.
published_date 0001-01-01T10:28:02Z
_version_ 1765680016551575552
score 11.013148

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