This paper presents a system-theory approach to control of a two-dimensional turbulent flow of saltwater on a flat plate using Lorentz forces produced by microtiles of small magnets and electrodes. Beginning with the two-dimensional Navier-Stokes equations of motion, a finite, dimensional, linear state variable, approximate model is obtained using Galerkin’s procedure. Based on this model, linear feedback control laws are obtained to achieve stabilization of the perturbed flow to the base flow. It is shown that spatially distributed longitudinal or surface-normal forces stabilize the flow perturbations. However, for lower wave numbers, longitudinal forces are more effective because surface-normal forces require larger electrode voltages for the same response characteristics. Simulation results are presented to show how stabilization is accomplished in the closed-loop system.
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December 1997
Research Papers
Linear Feedback Control of Boundary Layer Using Electromagnetic Microtiles
S. N. Singh,
S. N. Singh
Electrical and Computer Engineering Department, University of Nevada, Las Vegas, NV 89154-4026
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P. R. Bandyopadhyay
P. R. Bandyopadhyay
Hydrodynamics Branch, Naval Undersea Warfare Center, Newport, RI 02841
Search for other works by this author on:
S. N. Singh
Electrical and Computer Engineering Department, University of Nevada, Las Vegas, NV 89154-4026
P. R. Bandyopadhyay
Hydrodynamics Branch, Naval Undersea Warfare Center, Newport, RI 02841
J. Fluids Eng. Dec 1997, 119(4): 852-858 (7 pages)
Published Online: December 1, 1997
Article history
Received:
March 10, 1997
Revised:
July 8, 1997
Online:
January 22, 2008
Citation
Singh, S. N., and Bandyopadhyay, P. R. (December 1, 1997). "Linear Feedback Control of Boundary Layer Using Electromagnetic Microtiles." ASME. J. Fluids Eng. December 1997; 119(4): 852–858. https://doi.org/10.1115/1.2819508
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