We consider problems of controlling the intensity of the Rayleigh-Be´nard convection by adjusting the heat flux distribution at the boundary while keeping the heat input the same. The Karhunen-Loe`ve Galerkin procedure is used to reduce the Boussinesq equation to a low dimensional dynamic model, which in turn is employed in a projected gradient method to yield the optimal heat flux distribution. The performance of the Karhunen-Loe`ve Galerkin procedure is assessed in comparison with the traditional technique employing the Boussinesq equation, and is found to be very accurate as well as efficient.
Boundary Optimal Control of Natural Convection by Means of Mode Reduction
Contributed by the Dynamic Systems and Control Division for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the Dynamic Systems and Control Division October 30, 2000. Associate Editor: C. Rahn.
- Views Icon Views
- Share Icon Share
- Search Site
Park, H. M., and Lee, W. J. (October 30, 2000). "Boundary Optimal Control of Natural Convection by Means of Mode Reduction ." ASME. J. Dyn. Sys., Meas., Control. March 2002; 124(1): 47–54. https://doi.org/10.1115/1.1435646
Download citation file: