| Type of Document |
Dissertation |
| Author |
Rubio, Diana
|
| URN |
etd-1938102939721181 |
| Title |
Distributed Parameter Control of Thermal Fluids |
| Degree |
PhD |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Borggaard, Jeffrey T. |
|
| Cliff, Eugene M. |
|
| Herdman, Terry L. |
|
| Lin, Tao |
|
| Burns, John A. |
Committee Chair |
|
| Keywords |
- semigroups
- dynamical systems
- boundary control
- boussinesq approximation
|
| Date of Defense |
1997-04-21 |
| Availability |
unrestricted |
Abstract
We consider the problem of controlling a thermal convection flow by feedback. The system is governed by the Boussinesq approximation of the coupled set of Navier-Stokes and heat equations. The control is applied through Dirichlet boundary conditions.
We concentrate on a two-dimensional mode and use a semidiscrete Galerkin scheme for numerical computations. We construct both a linear control and a non-linear quadratic control and apply them to the full non-linear model. First, we test these controllers on a one-mode approximation. The convergence of the numerical scheme is analyzed. We also consider LQR control for a two-dimensional heat equation.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
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| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
etd.pdf |
12.95 Mb |
00:59:56 |
00:30:49 |
00:26:58 |
00:13:29 |
00:01:09 |
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rubioetd.pdf |
12.95 Mb |
00:59:56 |
00:30:49 |
00:26:58 |
00:13:29 |
00:01:09 |
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