An Asymptotic Energy Equation for Modelling Thermo Fluid Dynamics in the Optical Fibre Drawing Process
Microstructured optical fibres (MOFs) are fibres that contain an array of air holes that runs through the whole fibre length. The hole pattern of these fibres can be customized to manufacture optical devices for different applications ranging from high-power energy transmission equipment to telecomm...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/15/21/7922 |
| _version_ | 1797468422717571072 |
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| author | Giovanni Luzi Seunghyeon Lee Bernhard Gatternig Antonio Delgado |
| author_facet | Giovanni Luzi Seunghyeon Lee Bernhard Gatternig Antonio Delgado |
| author_sort | Giovanni Luzi |
| collection | DOAJ |
| description | Microstructured optical fibres (MOFs) are fibres that contain an array of air holes that runs through the whole fibre length. The hole pattern of these fibres can be customized to manufacture optical devices for different applications ranging from high-power energy transmission equipment to telecommunications and optical sensors. During the drawing process, the size of the preform is greatly scaled down and the original hole pattern result might be modified, potentially leading to unwanted optical effects. Because only a few parameters can be controlled during the fabrication process, mathematical models that can accurately describe the fibre drawing process are highly desirable, being powerful predictive tools that are significantly cheaper than costly experiments. In this manuscript, we derive a new asymptotic energy equation for the drawing process of a single annular capillary and couple it with existing asymptotic mass, momentum, and evolution equations. The whole asymptotic model only exploits the small aspect ratio of a capillary and relies on neither a fitting procedure nor on any empirical adjustable parameters. The numerical results of the simplified model are in good accordance with experimental data available in the literature both without inner pressurization and when internal pressure is applied. Although valid only for annular capillaries, the present model can provide important insights towards understanding the MOF manufacturing process and improving less detailed approaches for more complicated geometries. |
| first_indexed | 2024-03-09T19:07:15Z |
| format | Article |
| id | doaj.art-38cd5c1ce5b84e9eaf55fbd6e056f2fc |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-09T19:07:15Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-38cd5c1ce5b84e9eaf55fbd6e056f2fc2023-11-24T04:28:57ZengMDPI AGEnergies1996-10732022-10-011521792210.3390/en15217922An Asymptotic Energy Equation for Modelling Thermo Fluid Dynamics in the Optical Fibre Drawing ProcessGiovanni Luzi0Seunghyeon Lee1Bernhard Gatternig2Antonio Delgado3LSTME Busan, Busan 46742, KoreaDepartment of Energy and Machine Engineering, Gyeongsang National University, Tongyeong 53064, KoreaDepartment of Environmental Engineering, Hochschule Weihenstephan-Triesdorf, 91746 Weidenbach, GermanyLSTME Busan, Busan 46742, KoreaMicrostructured optical fibres (MOFs) are fibres that contain an array of air holes that runs through the whole fibre length. The hole pattern of these fibres can be customized to manufacture optical devices for different applications ranging from high-power energy transmission equipment to telecommunications and optical sensors. During the drawing process, the size of the preform is greatly scaled down and the original hole pattern result might be modified, potentially leading to unwanted optical effects. Because only a few parameters can be controlled during the fabrication process, mathematical models that can accurately describe the fibre drawing process are highly desirable, being powerful predictive tools that are significantly cheaper than costly experiments. In this manuscript, we derive a new asymptotic energy equation for the drawing process of a single annular capillary and couple it with existing asymptotic mass, momentum, and evolution equations. The whole asymptotic model only exploits the small aspect ratio of a capillary and relies on neither a fitting procedure nor on any empirical adjustable parameters. The numerical results of the simplified model are in good accordance with experimental data available in the literature both without inner pressurization and when internal pressure is applied. Although valid only for annular capillaries, the present model can provide important insights towards understanding the MOF manufacturing process and improving less detailed approaches for more complicated geometries.https://www.mdpi.com/1996-1073/15/21/7922asymptotic analysisoptical fibre drawingcreeping flowenergy equationMOFs |
| spellingShingle | Giovanni Luzi Seunghyeon Lee Bernhard Gatternig Antonio Delgado An Asymptotic Energy Equation for Modelling Thermo Fluid Dynamics in the Optical Fibre Drawing Process Energies asymptotic analysis optical fibre drawing creeping flow energy equation MOFs |
| title | An Asymptotic Energy Equation for Modelling Thermo Fluid Dynamics in the Optical Fibre Drawing Process |
| title_full | An Asymptotic Energy Equation for Modelling Thermo Fluid Dynamics in the Optical Fibre Drawing Process |
| title_fullStr | An Asymptotic Energy Equation for Modelling Thermo Fluid Dynamics in the Optical Fibre Drawing Process |
| title_full_unstemmed | An Asymptotic Energy Equation for Modelling Thermo Fluid Dynamics in the Optical Fibre Drawing Process |
| title_short | An Asymptotic Energy Equation for Modelling Thermo Fluid Dynamics in the Optical Fibre Drawing Process |
| title_sort | asymptotic energy equation for modelling thermo fluid dynamics in the optical fibre drawing process |
| topic | asymptotic analysis optical fibre drawing creeping flow energy equation MOFs |
| url | https://www.mdpi.com/1996-1073/15/21/7922 |
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