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STABLITY OF BODY-VORTEX SYSTEMS:
APPLICATION TO AQUATIC LOCOMOTION
by
Babak Ghaemi Oskouei
A Dissertation Presented to the
FACULTY OF THE USC GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(MECHANICAL ENGINEERING)
May 2011
Copyright 2011 Babak Ghaemi Oskouei
Object Description
| Title | Stability of body-vortex systems: Application to aquatic locomotion |
| Author | Ghaemi Oskouei, Babak |
| Author email | bgoskouie@gmail.com; bgoskouie@yahoo.com |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Aerospace & Mechanical Engineering (Dynamics & Control) |
| School | Viterbi School of Engineering |
| Date defended/completed | 2010-12-06 |
| Date submitted | 2011 |
| Restricted until | Restricted until 25 Mar. 2013. |
| Date published | 2013-03-25 |
| Advisor (committee chair) | Kanso, Eva |
| Advisor (committee member) |
Newton, Paul K. Redekopp, Larry G. Mitra, Urbashi |
| Abstract | Mathematical modeling and analysis of biological systems such as swimming and flying is an interdisciplinary research field with an extensive range of applications including the design of unmanned underwater robots and swarm of robots that swim together in a coordinated way similar to schooling fish. One of the main objectives of our work is to develop mathematical models for certain aspect of schooling. In particular, we examine (1) the interaction of a single fish with ambient vorticity possibly generated by other neighboring fish; and (2) the interaction of multiple fish wakes in large fish schools.; For the first part, we propose a reduced model of a rigid body interacting with point vortices in potential fluid and demonstrate that the rigid body can swim upstream in the direction opposite to the motion of point vortices at no energy cost. Indeed, the rigid body itself does not generate any force and its motion is due entirely to the energy exploited from the presence of the point vortices. We comment on the stability of these motions and propose under-actuated active control methods to achieve locomotion in unsteady wakes.; In the second part, we consider the interaction of multiple reverse von K´arm´an vortex streets as a model of the mid-wake region of large fish schools. We focus on the wake dynamics to gain insight into the role of the fluid in transporting oxygen and nutrients to inner fish as well as its role in facilitating or acting as flow barriers to passive locomotion.; We examine the topology of the streamline patterns in a frame moving with the same translational velocity as the streets which lends insight into fluid transport through the mid-wake region. |
| Keyword | point vortex; dynamical systems; stability analysis; vortex wake; fish; fish schooling; solid body; fluid; interaction; floquet theory; inviscid; incompressible; irrotational flow; 2D flow; ellipse; circle; Kirchhoff Routh; classical; Milne Thomson; circle theorem; complex potential; velocity; kinematics; submerged; Grobli; periodic; thrust; drag; von Karman; street; mid wake; streamline; pattern; topology; time scale; bifurcation; Doubly-Infinite Array; zeta function; vortex lattice; orientation control; elongated body; staggered street; symmetric street; convergence; integral test; dynamics; control; ideal fluid; aquatic locomotion; propulsion |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Provenance | Electronically uploaded by the author |
| Type | texts |
| Legacy record ID | usctheses-m3697 |
| Contributing entity | University of Southern California |
| Rights | Ghaemi Oskouei, Babak |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | cisadmin@lib.usc.edu |
| Filename | etd-Oskouei-4381 |
| Archival file | uscthesesreloadpub_Volume14/etd-Oskouei-4381.pdf |
Description
| Title | Page 1 |
| Contributing entity | University of Southern California |
| Repository email | cisadmin@lib.usc.edu |
| Full text | STABLITY OF BODY-VORTEX SYSTEMS: APPLICATION TO AQUATIC LOCOMOTION by Babak Ghaemi Oskouei A Dissertation Presented to the FACULTY OF THE USC GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (MECHANICAL ENGINEERING) May 2011 Copyright 2011 Babak Ghaemi Oskouei |
