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Rotating Split-Cylinder Flows.
~
Gutierrez Castillo, Paloma.
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Rotating Split-Cylinder Flows.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Rotating Split-Cylinder Flows./
作者:
Gutierrez Castillo, Paloma.
出版者:
Ann Arbor : ProQuest Dissertations & Theses, : 2017,
面頁冊數:
168 p.
附註:
Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
Contained By:
Dissertation Abstracts International78-09B(E).
標題:
Applied mathematics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10271198
ISBN:
9781369737288
Rotating Split-Cylinder Flows.
Gutierrez Castillo, Paloma.
Rotating Split-Cylinder Flows.
- Ann Arbor : ProQuest Dissertations & Theses, 2017 - 168 p.
Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
Thesis (Ph.D.)--Arizona State University, 2017.
The three-dimensional flow contained in a rapidly rotating circular split cylinder is studied numerically solving the Navier--Stokes equations. The cylinder is completely filled with fluid and is split at the midplane. Three different types of boundary conditions were imposed, leading to a variety of instabilities and complex flow dynamics.
ISBN: 9781369737288Subjects--Topical Terms:
2122814
Applied mathematics.
Rotating Split-Cylinder Flows.
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Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
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The three-dimensional flow contained in a rapidly rotating circular split cylinder is studied numerically solving the Navier--Stokes equations. The cylinder is completely filled with fluid and is split at the midplane. Three different types of boundary conditions were imposed, leading to a variety of instabilities and complex flow dynamics.
520
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The first configuration has a strong background rotation and a small differential rotation between the two halves. The axisymmetric flow was first studied identifying boundary layer instabilities which produce inertial waves under some conditions. Limit cycle states and quasiperiodic states were found, including some period doubling bifurcations. Then, a three-dimensional study was conducted identifying low and high azimuthal wavenumber rotating waves due to Gortler and Tollmien--Schlichting type instabilities. Over most of the parameter space considered, quasiperiodic states were found where both types of instabilities were present.
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In the second configuration, both cylinder halves are in exact counter-rotation, producing an O(2) symmetry in the system. The basic state flow dynamic is dominated by the shear layer created in the midplane. By changing the speed rotation and the aspect ratio of the cylinder, the flow loses symmetries in a variety of ways creating static waves, rotating waves, direction reversing waves and slow-fast pulsing waves. The bifurcations, including infinite-period bifurcations, were characterized and the flow dynamics was elucidated. Additionally, preliminary experimental results for this case are presented.
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In the third set up, with oscillatory boundary conditions, inertial wave beams were forced imposing a range of frequencies. These beams emanate from the corner of the cylinder and from the split at the midplane, leading to destructive/constructive interactions which produce peaks in vorticity for some specific frequencies. These frequencies are shown to be associated with the resonant Kelvin modes. Furthermore, a study of the influence of imposing a phase difference between the oscillations of the two halves of the cylinder led to the interesting result that different Kelvin modes can be excited depending on the phase difference.
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