Linear Feedback Control of Boundary Layer Using Electromagnetic Microtiles

Document Type

Article

Publication Date

12-1997

Publication Title

American Society of Mechanical Engineers Transactions Journal of Fluid Engineering

Volume

119

Issue

4

First page number:

852

Last page number:

858

Abstract

Thispaper presents a system-theory approach to control of a two-dimensionalturbulent flow of saltwater on a flat plate using Lorentzforces produced by microtiles of small magnets and electrodes. Beginningwith 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 obtainedto achieve stabilization of the perturbed flow to the baseflow. It is shown that spatially distributed longitudinal or surface-normalforces stabilize the flow perturbations. However, for lower wave numbers,longitudinal forces are more effective because surface-normal forces require largerelectrode voltages for the same response characteristics. Simulation results arepresented to show how stabilization is accomplished in the closed-loopsystem.

Keywords

Feedback control systems; Fluid mechanics; System theory; Turbulence

Permissions

Use Find in Your Library, contact the author, or use interlibrary loan to garner a copy of the article. Publisher copyright policy allows author to archive post-print (author’s final manuscript). When post-print is available or publisher policy changes, the article will be deposited

UNLV article access

Search your library

Share

COinS