The Study of the Intelligent Fuzzy Weighted Input Estimation Method Combined with the Experiment Verification for the Multilayer Materials
The innovative intelligent fuzzy weighted input
estimation method (FWIEM) can be applied to the inverse heat
transfer conduction problem (IHCP) to estimate the unknown
time-varying heat flux of the multilayer materials as presented in this
paper. The feasibility of this method can be verified by adopting the
temperature measurement experiment. The experiment modular may
be designed by using the copper sample which is stacked up 4
aluminum samples with different thicknesses. Furthermore, the
bottoms of copper samples are heated by applying the standard heat
source, and the temperatures on the tops of aluminum are measured by
using the thermocouples. The temperature measurements are then
regarded as the inputs into the presented method to estimate the heat
flux in the bottoms of copper samples. The influence on the estimation
caused by the temperature measurement of the sample with different
thickness, the processing noise covariance Q, the weighting factor γ ,
the sampling time interval Δt , and the space discrete interval Δx ,
will be investigated by utilizing the experiment verification. The
results show that this method is efficient and robust to estimate the
unknown time-varying heat input of the multilayer materials.
[1] Yu, G. H. "A Study of the Thermal Conductive Behaviors of Composite
Materials with Double Layers," Department of Construction Engineering,
National Kaohsiung First University of Science and Technology, Master
Paper, 2004.
[2] Hon, R. L. "A Study of the Thermal Conductive Behaviors of Double
Composite Layers with Constant Heat," Department of Construction
Engineering, National Kaohsiung First University of Science and
Technology, Master Paper, 2006.
[3] Scott, E. P. and Beck, J. V., "Analysis of Order of The Sequential
Regularization Solutions of Inverse Heat Conduction Problem," Trans.
ASME, Vol. 111, pp.218-224 (1989).
[4] Alifanov, O. M., and Millhailov, V. V., "Solution of the Nonlinear Inverse
Thermal Conduction Problem," Journal of Engineering Physics, Vol. 35,
No. 6, pp.1501-1506 (1978).
[5] Millhailov, V. V., "Questions of The Convergence of Iteration Methods
of Solving The Inverse Heat Conduction Problem," Journal of
Engineering Physics, Vol. 45, No. 5, pp.1263-1266 (1983).
[6] Huang, C. H. and Ozisik, M. N., "Inverse Problem of Determining
Unknown Wall Heat Flux in Laminar Flow Through a Parallel Plat Duct,
"Numerical Heat Transfer, Part A, Vol. 21, pp.55-70 (1992).
[7] Li, H. Y. and Yan, W. M., "Inverse Convection Problem for Determining
Wall Heat Flux in Annular Duct Flow," Journal of Heat Transfer
Transactions of the ASME, Vol. 122, pp.460-464 (2000).
[8] Tuan, P. C., Fong, L. W., and Huang, W. T., "Analysis of On-Line Inverse
Heat Conduction Problems," Journal of Chung Cheng Institute of
Technology, Vol. 25(1), pp. 59-73 (1996).
[9] Tuan, P. C., Fong, L. W., and Huang, W. T., "Application of Kalman
Filtering with Input Estimation Technique to ON-Line Cylindrical Inverse
Heat Conduction Problems," JSME International Journal, Series B, Vol.
40(1), pp. 126-133 (1997).
[10] Chen, T. C. and Lee, M. H., "Intelligent fuzzy weighted input estimation
method applied to inverse heat conduction problems," International
Journal of Heat and Mass Transfer, Vol.51, pp.4168-4183, 2008.
[11] Chen, T. C. and Hsu S. J.,"A Study of the Gun Barrel Temperature
Measurement and Heat Flux Estimation Using Non-destruction Ballistic
Experimental Method," Journal of explosives and propellants, R.O.C.,
Vol.22, No.2, pp. 19-35, 2006.9.
[12] Chen, T. C., and Hsu, S. J., "Input Estimation Method in the Use of
Electronic Device Temperature Prediction and Heat Flux Inverse
Estimation," Numerical Heat Transfer, Part A, Vol. 52, No. 9, pp. 1-21,
2007.
[13] Chen, T. C., and Hsu, S. J., "Research on the Heat Flux Estimation and
Active Heat-dissipation Control of the Barrel Structure," Journal of
explosives and propellants, R.O.C., Vol.23, No.2, pp. 13-32, 2007.
[14] Chen, T. C., and Lee, M. H., "Research on Moving Force Estimation of
the Bridge Structure using the Adaptive Input Estimation Method,"
Electronic Journal of Structural Engineering (EI), Vol.8, pp. 20-28, 2008
[15] D-Souza, N. "Numerical Solution of One-dimensional Inverse Transient
Heat Conduction by Finite Difference Method, " ASME Paper
75-WA/HT-81, 1975.
[16] Tuan, P. C., Ji, C. C., Fong, L. W., Huang, W. T., "An input estimation
approach to on-line two dimensional inverse heat conduction problems,
Numerical Heat Transfer B29 (1996) 345-363.
[17] Tuan, P. C. and Hou, W. T., "The Adaptive Robust Weighting Input
Estimation for 1-D Inverse Heat Conduction Problem," Numerical Heat
Transfer, Part B, Vol.34, pp. 439-456, 1998.
[1] Yu, G. H. "A Study of the Thermal Conductive Behaviors of Composite
Materials with Double Layers," Department of Construction Engineering,
National Kaohsiung First University of Science and Technology, Master
Paper, 2004.
[2] Hon, R. L. "A Study of the Thermal Conductive Behaviors of Double
Composite Layers with Constant Heat," Department of Construction
Engineering, National Kaohsiung First University of Science and
Technology, Master Paper, 2006.
[3] Scott, E. P. and Beck, J. V., "Analysis of Order of The Sequential
Regularization Solutions of Inverse Heat Conduction Problem," Trans.
ASME, Vol. 111, pp.218-224 (1989).
[4] Alifanov, O. M., and Millhailov, V. V., "Solution of the Nonlinear Inverse
Thermal Conduction Problem," Journal of Engineering Physics, Vol. 35,
No. 6, pp.1501-1506 (1978).
[5] Millhailov, V. V., "Questions of The Convergence of Iteration Methods
of Solving The Inverse Heat Conduction Problem," Journal of
Engineering Physics, Vol. 45, No. 5, pp.1263-1266 (1983).
[6] Huang, C. H. and Ozisik, M. N., "Inverse Problem of Determining
Unknown Wall Heat Flux in Laminar Flow Through a Parallel Plat Duct,
"Numerical Heat Transfer, Part A, Vol. 21, pp.55-70 (1992).
[7] Li, H. Y. and Yan, W. M., "Inverse Convection Problem for Determining
Wall Heat Flux in Annular Duct Flow," Journal of Heat Transfer
Transactions of the ASME, Vol. 122, pp.460-464 (2000).
[8] Tuan, P. C., Fong, L. W., and Huang, W. T., "Analysis of On-Line Inverse
Heat Conduction Problems," Journal of Chung Cheng Institute of
Technology, Vol. 25(1), pp. 59-73 (1996).
[9] Tuan, P. C., Fong, L. W., and Huang, W. T., "Application of Kalman
Filtering with Input Estimation Technique to ON-Line Cylindrical Inverse
Heat Conduction Problems," JSME International Journal, Series B, Vol.
40(1), pp. 126-133 (1997).
[10] Chen, T. C. and Lee, M. H., "Intelligent fuzzy weighted input estimation
method applied to inverse heat conduction problems," International
Journal of Heat and Mass Transfer, Vol.51, pp.4168-4183, 2008.
[11] Chen, T. C. and Hsu S. J.,"A Study of the Gun Barrel Temperature
Measurement and Heat Flux Estimation Using Non-destruction Ballistic
Experimental Method," Journal of explosives and propellants, R.O.C.,
Vol.22, No.2, pp. 19-35, 2006.9.
[12] Chen, T. C., and Hsu, S. J., "Input Estimation Method in the Use of
Electronic Device Temperature Prediction and Heat Flux Inverse
Estimation," Numerical Heat Transfer, Part A, Vol. 52, No. 9, pp. 1-21,
2007.
[13] Chen, T. C., and Hsu, S. J., "Research on the Heat Flux Estimation and
Active Heat-dissipation Control of the Barrel Structure," Journal of
explosives and propellants, R.O.C., Vol.23, No.2, pp. 13-32, 2007.
[14] Chen, T. C., and Lee, M. H., "Research on Moving Force Estimation of
the Bridge Structure using the Adaptive Input Estimation Method,"
Electronic Journal of Structural Engineering (EI), Vol.8, pp. 20-28, 2008
[15] D-Souza, N. "Numerical Solution of One-dimensional Inverse Transient
Heat Conduction by Finite Difference Method, " ASME Paper
75-WA/HT-81, 1975.
[16] Tuan, P. C., Ji, C. C., Fong, L. W., Huang, W. T., "An input estimation
approach to on-line two dimensional inverse heat conduction problems,
Numerical Heat Transfer B29 (1996) 345-363.
[17] Tuan, P. C. and Hou, W. T., "The Adaptive Robust Weighting Input
Estimation for 1-D Inverse Heat Conduction Problem," Numerical Heat
Transfer, Part B, Vol.34, pp. 439-456, 1998.
@article{"International Journal of Information, Control and Computer Sciences:50476", author = "Ming-Hui Lee and Tsung-Chien Chen and Tsu-Ping Yu and Horng-Yuan Jang", title = "The Study of the Intelligent Fuzzy Weighted Input Estimation Method Combined with the Experiment Verification for the Multilayer Materials", abstract = "The innovative intelligent fuzzy weighted input
estimation method (FWIEM) can be applied to the inverse heat
transfer conduction problem (IHCP) to estimate the unknown
time-varying heat flux of the multilayer materials as presented in this
paper. The feasibility of this method can be verified by adopting the
temperature measurement experiment. The experiment modular may
be designed by using the copper sample which is stacked up 4
aluminum samples with different thicknesses. Furthermore, the
bottoms of copper samples are heated by applying the standard heat
source, and the temperatures on the tops of aluminum are measured by
using the thermocouples. The temperature measurements are then
regarded as the inputs into the presented method to estimate the heat
flux in the bottoms of copper samples. The influence on the estimation
caused by the temperature measurement of the sample with different
thickness, the processing noise covariance Q, the weighting factor γ ,
the sampling time interval Δt , and the space discrete interval Δx ,
will be investigated by utilizing the experiment verification. The
results show that this method is efficient and robust to estimate the
unknown time-varying heat input of the multilayer materials.", keywords = "Multilayer Materials, Input Estimation Method,
IHCP, Heat Flux.", volume = "3", number = "5", pages = "1256-10", }
