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Effects of Incompatible Distortion Rates in Fluid Dynamics
https://doi.org/10.15102/0002000911
https://doi.org/10.15102/0002000911e7febaac-64d1-4e30-a536-44f4b8531bfe
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ShakirAkylFulltext.pdf (2.3 MB)
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ShakirAkylExamAbstract.pdf (48 KB)
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| Item type | 学位論文 / Thesis or Dissertation(1) | |||||||
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| PubDate | 2025-07-08 | |||||||
| Title | ||||||||
| Title | 流体力学における不適合な歪み率の影響の解明 | |||||||
| Language | ja | |||||||
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| Title | Effects of Incompatible Distortion Rates in Fluid Dynamics | |||||||
| Language | en | |||||||
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| Language | eng | |||||||
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| Subject Scheme | Other | |||||||
| Subject | fluid dynamics | channel flow | Poiseuille-Couette flow | annular pipe flow | vector and tensor analysis | |||||||
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| Resource Type Identifier | http://purl.org/coar/resource_type/c_db06 | |||||||
| Resource Type | doctoral thesis | |||||||
| Identifier Registration | ||||||||
| Identifier Registration | 10.15102/0002000911 | |||||||
| Identifier Registration Type | JaLC | |||||||
| Access Right | ||||||||
| Access Rights | open access | |||||||
| Access Rights URI | http://purl.org/coar/access_right/c_abf2 | |||||||
| Author |
Shakir, Akyl
× Shakir, Akyl
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| Abstract | ||||||||
| Description Type | Abstract | |||||||
| Description | The aim of this research is to investigate developments arising from permitting the distortion rate in a fluid to be the sum of two smooth components — both inherently incompatible, as they do not represent gradients of vector fields. This gives rise to a set of two coupled evolution equations. One of these equations generalizes the Navier–Stokes equation for an incompressible fluid. The other equation governs a tensor field that characterizes any incompatibility that is present. We build on the theory of incompatible flows introduced by Fosdick and Fried [1], who analyzed Poiseuille flow in a rectangular channel. This study presents findings that focus on the application of the framework to Poiseuille–Couette flow, where the boundary condition is modified to include a moving upper wall, as well as to pipe flow with a circular annular cross-section, where we investigate the effects of geometry. In each of the generalizations considered, we identify the emergence of coexistent compatible and incompatible flows. This phenomenon is distinct from that observed in plane Poiseuille flow. We propose that this coexistence is analogous to the transitional state between laminar and turbulent flow, where both flow states can exist simultaneously under certain conditions, marking a regime of transition between two distinct behaviors. The plug-like behavior seen in our flow dynamics exhibits similarities to what is observed in turbulent fluid flow. To deepen our analysis, we compare our velocity profile results with direct numerical simulation (DNS) data, revealing critical insights into the flow characteristics and underlying mechanisms governing the observed phenomena. | |||||||
| Language | en | |||||||
| Exam Date | ||||||||
| 2025-05-08 | ||||||||
| Degree Conferral Date | ||||||||
| Date Granted | 2025-06-30 | |||||||
| Degree | ||||||||
| Degree Name | Doctor of Philosophy | |||||||
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| Dissertation Number | 甲第194号 | |||||||
| Degree Conferrral Institution | ||||||||
| Degree Grantor Name Identifier Scheme | kakenhi | |||||||
| Degree Grantor Name Identifier | 38005 | |||||||
| Degree Grantor Name | Okinawa Institute of Science and Technology Graduate University | |||||||
| Version Format | ||||||||
| Version Type | VoR | |||||||
| Version Type Resource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||
| Copyright Information | ||||||||
| Rights | © 2025 The Author. | |||||||
