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Inverse Problem of Determining Unknown Inlet Temperature Profile in Two Phase Laminar Flow in a Parallel Plate Duct by Using Regularization Method

조정법을 이용한 덕트 내의 이상 층류 유동에 대한 입구 온도분포 역해석

  • 홍윤기 (한국과학기술원 대학원 항공우주공학전공) ;
  • 백승욱 (한국과학기술원 항공우주공학전공)
  • Published : 2004.09.01

Abstract

The inverse problem of determining unknown inlet temperature in thermally developing, hydrodynamically developed two phase laminar flow in a parallel plate duct is considered. The inlet temperature profile is determined by measuring temperature in the flow field. No prior information is needed for the functional form of the inlet temperature profile. The inverse convection problem is solved by minimizing the objective function with regularization method. The conjugate gradient method as iterative method and the Tikhonov regularization method are employed. The effects of the functional form of inlet temperature, the number of measurement points and the measurement errors are investigated. The accuracy and efficiency of these two methods are compared and discussed.

Keywords

References

  1. Ozisik, M. N. and Orlande, Helcio, R. B., 2000, Inverse Heat Transfer, Taylor and Francis, New York, pp. 5-111
  2. Kurpisz, K. and Nowak, A. J., 1995, Inverse Thermal Problems, Computational Mechanics Publications, Southampton, UK and Boston, USA, 1995, pp. 89-110
  3. Liu, F. B. and Ozisik, M. N., 1996, 'Estimation of Inlet Temperature Profile in Laminar Duct Flow,' Inverse Problems in engineering, Vol. 3, pp. 131-141 https://doi.org/10.1080/174159796088027619
  4. Bokar, J. C. and Ozisik, M. N., 1995, 'Inverse Analysis for Estimating the Time Varying Inlet Temperature in Laminar Flow Inside a Parallel Plate Duct,' Int. J. Heat Mass Transfer, Vol. 38, pp. 39-45 https://doi.org/10.1016/0017-9310(94)00146-M
  5. Huang, C. H. and Ozisik, M. N., 1992, 'Inverse Problem of Determining Unknown Wall Heat in Laminar Flow Through a Parallel Plate,' Numerical Heat Transfer, Part A, Vol. 21, pp. 55-70 https://doi.org/10.1080/10407789208944865
  6. Liu, F. B. and Ozisik, M. N., 1996, 'Inverse Analysis of Transient Turbulent Forced Convection Inside Parallel Plates,' Int. J. Heat Mass Transfer, Vol. 39, pp. 2615-2618 https://doi.org/10.1016/0017-9310(96)84824-1
  7. Machado, H. A. and Orlande, Helcio R. B., 1997, 'Inverse Analysis of Estimating the Timewise and Spacewise Variation of the Wall Heat Flux in a Parallel Plate Channel,' Int. J. Num. Meth. Heat & Fluid Flow, Vol. 7, pp. 696-710 https://doi.org/10.1108/09615539710185578
  8. Park, H. M. and Chung, O. Y., 1999, 'Inverse Natural Convection Problem of Estimating the Strength of a Heat Source,' Int. J. Heat and Mass Transfer, Vol. 42, pp. 4259-4273 https://doi.org/10.1016/S0017-9310(99)00100-3