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Flow-based control of temperature in long ducts.

Author(s) : ALOTAIBI S., SEN M., GOODWINE B., et al.

Type of article: Article

Summary

Flow-based control of a thermal system with a long duct and heat loss to the environment is analysed. A proportional-integral controller was 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 were 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 led to a characteristic transcendental equation which was examined for different orders of the residence time. Pontryagin's theorem on the zeros of exponential polynomials was used to obtain stability maps as a function of system parameters. Numerical simulations were performed to verify the predictions, determine super- and sub-critical instabilities, and evaluate the amplitude and frequency of limit-cycle oscillations.

Details

  • Original title: Flow-based control of temperature in long ducts.
  • Record ID : 2005-1171
  • Languages: English
  • Source: International Journal of Heat and Mass Transfer - vol. 47 - n. 23
  • Publication date: 2004/11

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