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Liutex and Statistcal Analysis for Fluid Transition.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Liutex and Statistcal Analysis for Fluid Transition./
作者:	Nottage, Charles Matthew Nehemiah.
面頁冊數:	1 online resource (61 pages)
附註:	Source: Dissertations Abstracts International, Volume: 83-05, Section: B.
Contained By:	Dissertations Abstracts International83-05B.
標題:	Aerospace engineering. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28826509click for full text (PQDT)
ISBN:	9798544286493

Liutex and Statistcal Analysis for Fluid Transition.
Nottage, Charles Matthew Nehemiah.

Liutex and Statistcal Analysis for Fluid Transition. - 1 online resource (61 pages)

Source: Dissertations Abstracts International, Volume: 83-05, Section: B.

Thesis (Ph.D.)--The University of Texas at Arlington, 2021.

Includes bibliographical references

A vortex can be intuitively recognized as the rotational swirling motion of the fluids. The fascination of this phenomenon brought about many years of research to define, classify, and identify the vortical structure. Throughout the decades, many vortex identification methods were developed and can be characterized into three generations. The generational methods are vorticity-based, eigenvalue-based such as Q, \uD835\uDF06_ci, and \uD835\uDF06_2, and Liutex-based. Before the development of Liutex, there was no mathematical definition for vortex.Is Liutex superior to vorticity and the eigenvalue-based methods? Is the vorticity vector the local rotational axis? Should vorticity be considered vortex? In this dissertation, I answer these questions by utilizing dimensional analysis to examine and compare the eigenvalue-based methods with Liutex. Then, an analysis of vector candidates for the local rotational axis is conducted to identify which candidates satisfy the definition of the local rotational axis. Lastly, a statistical analysis of vorticity, Liutex, and shear is performed to show their behavior and relationship in the boundary layer from laminar flow to turbulent flow.The results of these three procedures show that: Out of the four eigenvalue-based methods analyzed, \uD835\uDF06_ci was the only one that was dimensionally consistent with Liutex. The Liutex directional vector was the only candidate that satisfied the definition of the local rotational axis, and vorticity should not be considered vortex as shear highly contaminates it.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9798544286493Subjects--Topical Terms:

1002622
Aerospace engineering.
Subjects--Index Terms:

LiutexIndex Terms--Genre/Form:

542853
Electronic books.

Liutex and Statistcal Analysis for Fluid Transition.
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100 1 $a Nottage, Charles Matthew Nehemiah. $3 3694414
245 1 0 $a Liutex and Statistcal Analysis for Fluid Transition.
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500 $a Source: Dissertations Abstracts International, Volume: 83-05, Section: B.
500 $a Advisor: Liu, Chaoqun.
502 $a Thesis (Ph.D.)--The University of Texas at Arlington, 2021.
504 $a Includes bibliographical references
520 $a A vortex can be intuitively recognized as the rotational swirling motion of the fluids. The fascination of this phenomenon brought about many years of research to define, classify, and identify the vortical structure. Throughout the decades, many vortex identification methods were developed and can be characterized into three generations. The generational methods are vorticity-based, eigenvalue-based such as Q, \uD835\uDF06_ci, and \uD835\uDF06_2, and Liutex-based. Before the development of Liutex, there was no mathematical definition for vortex.Is Liutex superior to vorticity and the eigenvalue-based methods? Is the vorticity vector the local rotational axis? Should vorticity be considered vortex? In this dissertation, I answer these questions by utilizing dimensional analysis to examine and compare the eigenvalue-based methods with Liutex. Then, an analysis of vector candidates for the local rotational axis is conducted to identify which candidates satisfy the definition of the local rotational axis. Lastly, a statistical analysis of vorticity, Liutex, and shear is performed to show their behavior and relationship in the boundary layer from laminar flow to turbulent flow.The results of these three procedures show that: Out of the four eigenvalue-based methods analyzed, \uD835\uDF06_ci was the only one that was dimensionally consistent with Liutex. The Liutex directional vector was the only candidate that satisfied the definition of the local rotational axis, and vorticity should not be considered vortex as shear highly contaminates it.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2023
538 $a Mode of access: World Wide Web
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650 4 $a Plasma physics. $3 3175417
650 4 $a Applied mathematics. $3 2122814
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650 4 $a Mechanical engineering. $3 649730
653 $a Liutex
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653 $a Fluid transition
653 $a Local fluid rotational Axis
653 $a Vortex identification method
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710 2 $a The University of Texas at Arlington. $b Mathematics. $3 1682219
773 0 $t Dissertations Abstracts International $g 83-05B.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28826509 $z click for full text (PQDT)