Flow-based control of temperature in long ducts

Flow-based control of temperature in long ducts

Flow-based control of a thermal system with a long duct and heat loss to the environment is analyzed. A Proportional-Integral controller is used to regulate the duct outlet temperature by using the flow velocity as control input. The one-dimensional energy equation in Eulerian and Lagrangian forms a...

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Veröffentlicht in:International journal of heat and mass transfer 2004-11, Vol.47 (23), p.4995-5009
Hauptverfasser: Alotaibi, Sorour, Sen, Mihir, Goodwine, Bill, Yang, K.T.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Devices using thermal energy
Energy
Energy. Thermal use of fuels
Exact sciences and technology
Heat exchangers (included heat transformers, condensers, cooling towers)
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container_end_page 5009
container_issue 23
container_start_page 4995
container_title International journal of heat and mass transfer
container_volume 47
creator Alotaibi, Sorour
Sen, Mihir
Goodwine, Bill
Yang, K.T.
description Flow-based control of a thermal system with a long duct and heat loss to the environment is analyzed. A Proportional-Integral controller is used to regulate the duct outlet temperature by using the flow velocity as control input. The one-dimensional energy equation in Eulerian and Lagrangian forms are numerically solved. The non-linear dynamics can be represented by an integral equation in terms of the residence time which acts as a delay. A linear stability analysis leads to a characteristic transcendental equation which is examined for different orders of the residence time. Pontryagin’s theorem on the zeros of exponential polynomials is used to obtain stability maps as a function of system parameters. Numerical simulations are performed to verify the predictions, determine super- and sub-critical instabilities, and evaluate the amplitude and frequency of limit-cycle oscillations.
doi_str_mv 10.1016/j.ijheatmasstransfer.2004.06.017
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subjects Applied sciences
Devices using thermal energy
Energy
Energy. Thermal use of fuels
Exact sciences and technology
Heat exchangers (included heat transformers, condensers, cooling towers)
title Flow-based control of temperature in long ducts
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