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The New Jersey Institute of Technology's
Electronic Theses & Dissertations Project

Title: Closed-loop control of vortex shedding by means of Lorentz force
Author: Sun, Xiaoyun
View Online: njit-etd2003-029
(xv, 118 pages ~ 8.6 MB pdf)
Department: Department of Mathematical Sciences
Degree: Doctor of Philosophy
Program: Mathematical Sciences
Document Type: Dissertation
Advisory Committee: Aubry, N. (Committee chair)
Blackmore, Denis L. (Committee member)
Papageorgiou, Demetrius T. (Committee member)
Singh, Pushpendra (Committee member)
Kondic, Lou (Committee member)
Date: 2003-01
Keywords: Incompressible flow
Flow control
Electromagnetic field
Availability: Unrestricted

When an incompressible fluid flows past a circular cylinder, vortex shedding occurs as soon as the Reynolds number exceeds about 40. Vortex shedding is usually undesirable, as it generates a significant increase in drag, as well an oscillating lift force on the cylinder leading to cross-stream structural vibrations. Flow control to either delay the appearance of vortex shedding or fully suppress it has attracted much attention during the last decade. The focus of this dissertation is to control vortex shedding from a circular cylinder by applying an external electromagnetic field. As in previous works, the latter is generated by electrodes and magnets alternatively arranged on the cylinder surface. In a weakly conducting fluid such as seawater, this has the effect of creating a Lorentz force tangential to the surface of the cylinder and oriented in the flow direction. A novel analytical expression of the Lorentz force is derived by integrating the Maxwell equations and using series expansions. This expression is then used for the control of vortex shedding in numerical simulations. Specifically, a closed-loop control algorithm is derived utilizing a single point sensor on the cylinder surface and the bilinear searching method in order to determine the appropriate magnitude of the Lorentz force at every time. Numerical simulations based on a two-dimensional Navier-Stokes solver show that vortex shedding is indeed suppressed at the Reynolds number values Re = 100 and 200.

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