Direct solution of 2D heat transfer problems in frequency domain with dynamic boundary conditions

  • Authors:

  • R. Zhang;C. Zhang;J. Jiang

  • Affiliations:

  • Department of Mechanical and Materials Engineering, The University of Western Ontario, London, Ontario, Canada;Department of Mechanical and Materials Engineering, The University of Western Ontario, London, Ontario, Canada;Department of Electrical and Computer Engineering, The University of Western Ontario, London, Ontario, Canada

  • Venue:
  • SMO'07 Proceedings of the 7th WSEAS International Conference on Simulation, Modelling and Optimization
  • Year:
  • 2007

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Abstract

To design a good control system, it is essential to have accurate dynamic models of the system being controlled. Frequency response techniques can be used to develop such dynamic models. In this paper, a new approach for direct solution of the frequency response of 2D heat transfer problems with nonlinear source terms and dynamic boundary conditions is proposed. Three typical boundary conditions are used in the frequency domain. A nonlinear source term due to radiation is employed to determine whether the new approach can be applied to nonlinear systems. Using the frequency response of the system, the transfer function of the linearized system can be obtained subsequently. The performance of the proposed approach has been validated against the results obtained from full-scale computational fluid dynamics (CFD) simulation and excellent agreement has been obtained.