Vibrational Responses of an Ultra-Large Cold-Water Pipe for Ocean Thermal Energy Conversion: A Numerical Approach
The transportation of seawater on a grand scale via an ultra-large cold-water pipe situated within the context of ocean thermal energy conversion (OTEC) floating installations inherently presents challenges associated with instability and potential malfunction in the face of demanding operational ci...
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Format: | Article |
Language: | English |
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MDPI AG
2023-10-01
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Series: | Journal of Marine Science and Engineering |
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Online Access: | https://www.mdpi.com/2077-1312/11/11/2093 |
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author | Jian Tan Yulong Zhang Li Zhang Qingfeng Duan Chen An Menglan Duan |
author_facet | Jian Tan Yulong Zhang Li Zhang Qingfeng Duan Chen An Menglan Duan |
author_sort | Jian Tan |
collection | DOAJ |
description | The transportation of seawater on a grand scale via an ultra-large cold-water pipe situated within the context of ocean thermal energy conversion (OTEC) floating installations inherently presents challenges associated with instability and potential malfunction in the face of demanding operational circumstances. This study endeavors to augment the stability and security of cold-water pipe (CWP) operations by scrutinizing their vibrational attributes across diverse boundary configurations. Initially, we invoke Euler–Bernoulli beam theory to forge the analytical framework and proffer a semi-analytical resolution by utilizing the generalized integral transform technique (GITT). Subsequently, we authenticate the convergence and precision of our proposed approach through comparative analysis with extant theories. Our findings underscore the conspicuous influence of boundary conditions on the convergence of transverse displacement. The influence of internal flow on the transverse displacement and the natural frequency manifests substantial variability under different boundary conditions. Significantly, an escalation in the internal flow velocity triggers a concomitant reduction in the natural frequency, ultimately culminating in instability once the critical velocity threshold is reached. Additionally, the reliance of the transverse displacement and the natural frequency on the clump weight at the bottom is markedly pronounced. Our discoveries propose that pipe stability can be ameliorated by adjusting the clump weight at the bottom. Furthermore, the novel insights obtained through our proposed approach can significantly aid in the early-stage design and analysis of CWP. |
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format | Article |
id | doaj.art-85dc155d6de548d6aa16ed2616eb8136 |
institution | Directory Open Access Journal |
issn | 2077-1312 |
language | English |
last_indexed | 2024-03-09T16:42:10Z |
publishDate | 2023-10-01 |
publisher | MDPI AG |
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series | Journal of Marine Science and Engineering |
spelling | doaj.art-85dc155d6de548d6aa16ed2616eb81362023-11-24T14:50:23ZengMDPI AGJournal of Marine Science and Engineering2077-13122023-10-011111209310.3390/jmse11112093Vibrational Responses of an Ultra-Large Cold-Water Pipe for Ocean Thermal Energy Conversion: A Numerical ApproachJian Tan0Yulong Zhang1Li Zhang2Qingfeng Duan3Chen An4Menglan Duan5College of Safety and Ocean Engineering, China University of Petroleum-Beijing, Beijing 102249, ChinaInstitute of Acoustics, Chinese Academy of Sciences, Beijing 100190, ChinaSouthern Marine Science and Engineering Guangdong Laboratory (Zhanjiang), Zhanjiang 524005, ChinaCollege of Safety and Ocean Engineering, China University of Petroleum-Beijing, Beijing 102249, ChinaCollege of Safety and Ocean Engineering, China University of Petroleum-Beijing, Beijing 102249, ChinaCollege of Safety and Ocean Engineering, China University of Petroleum-Beijing, Beijing 102249, ChinaThe transportation of seawater on a grand scale via an ultra-large cold-water pipe situated within the context of ocean thermal energy conversion (OTEC) floating installations inherently presents challenges associated with instability and potential malfunction in the face of demanding operational circumstances. This study endeavors to augment the stability and security of cold-water pipe (CWP) operations by scrutinizing their vibrational attributes across diverse boundary configurations. Initially, we invoke Euler–Bernoulli beam theory to forge the analytical framework and proffer a semi-analytical resolution by utilizing the generalized integral transform technique (GITT). Subsequently, we authenticate the convergence and precision of our proposed approach through comparative analysis with extant theories. Our findings underscore the conspicuous influence of boundary conditions on the convergence of transverse displacement. The influence of internal flow on the transverse displacement and the natural frequency manifests substantial variability under different boundary conditions. Significantly, an escalation in the internal flow velocity triggers a concomitant reduction in the natural frequency, ultimately culminating in instability once the critical velocity threshold is reached. Additionally, the reliance of the transverse displacement and the natural frequency on the clump weight at the bottom is markedly pronounced. Our discoveries propose that pipe stability can be ameliorated by adjusting the clump weight at the bottom. Furthermore, the novel insights obtained through our proposed approach can significantly aid in the early-stage design and analysis of CWP.https://www.mdpi.com/2077-1312/11/11/2093ocean thermal energy conversioncold-water pipegeneralized integral transform techniquedifferent boundary conditionsvibration analysis |
spellingShingle | Jian Tan Yulong Zhang Li Zhang Qingfeng Duan Chen An Menglan Duan Vibrational Responses of an Ultra-Large Cold-Water Pipe for Ocean Thermal Energy Conversion: A Numerical Approach Journal of Marine Science and Engineering ocean thermal energy conversion cold-water pipe generalized integral transform technique different boundary conditions vibration analysis |
title | Vibrational Responses of an Ultra-Large Cold-Water Pipe for Ocean Thermal Energy Conversion: A Numerical Approach |
title_full | Vibrational Responses of an Ultra-Large Cold-Water Pipe for Ocean Thermal Energy Conversion: A Numerical Approach |
title_fullStr | Vibrational Responses of an Ultra-Large Cold-Water Pipe for Ocean Thermal Energy Conversion: A Numerical Approach |
title_full_unstemmed | Vibrational Responses of an Ultra-Large Cold-Water Pipe for Ocean Thermal Energy Conversion: A Numerical Approach |
title_short | Vibrational Responses of an Ultra-Large Cold-Water Pipe for Ocean Thermal Energy Conversion: A Numerical Approach |
title_sort | vibrational responses of an ultra large cold water pipe for ocean thermal energy conversion a numerical approach |
topic | ocean thermal energy conversion cold-water pipe generalized integral transform technique different boundary conditions vibration analysis |
url | https://www.mdpi.com/2077-1312/11/11/2093 |
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