Linear Feedback Control of Boundary Layer Using Electromagnetic Microtiles

[+] Author and Article Information
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 119(4), 852-858 (Dec 01, 1997) (7 pages) doi:10.1115/1.2819508 History: Received March 10, 1997; Revised July 08, 1997; Online January 22, 2008


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.

Copyright © 1997 by The American Society of Mechanical Engineers
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