A Dynamic Programming Approach to Stabilize Forced-Convection Two-Phase Flow Systems With “Pressure-Drop” Oscillations

[+] Author and Article Information
C. J. Maday

Oak Ridge National Laboratory and North Carolina State University

J. Heat Transfer 92(1), 94-100 (Feb 01, 1970) (7 pages) doi:10.1115/1.3449651 History: Received October 15, 1968; Revised April 10, 1969; Online August 11, 2010


Optimization theory is applied to a forced-convection two-phase flow system with heat addition described by a second-order system of differential equations. The mathematical model describes a physical system in which low-frequency pressure-drop oscillations occur, and these oscillations may either grow or decay with time depending on whether the system is stable. The dynamic programming approach is applied to obtain a suboptimal feedback control system which is very stable and exhibits no oscillatory behavior. A system is synthesized whereby pressure and temperature fluctuations are used to control heat-input fluctuations in order to provide stability.

Copyright © 1970 by ASME
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