This study provides a new inverse approach based on fuzzy inference for solving the problem of estimating heat flux distribution at the metal-mold interface in the continuous casting process. Measured temperatures acquired with the thermocouples buried in the mold are used to obtain corresponding inference results with the fuzzy inference. Then according to the importance of measured information for estimating the heat flux distribution, inference results are weighted to realize estimation of heat flux distribution at the metal-mold interface. Some numerical tests are presented to discuss the validity of the present approach by using different initial guesses of heat flux distribution, the number of measuring points, and measurement errors. In comparison with the conjugate gradient method, it is concluded that the method based on fuzzy inference is of a good anti-ill-posed characteristic.
1.
Tieu
, A. K.
, and Kim
, I. S.
, 1997, “Simulation of the Continuous Casting Process by a Mathematical Model
,” Int. J. Mech. Sci.
0020-7403, 39
(2
), pp. 185
–192
.2.
Barone
, M. R.
, and Caulk
, D. A.
, 1993, “A New Method for Thermal Analysis of Die Casting
,” ASME J. Heat Transfer
0022-1481, 115
(2
), pp. 284
–293
.3.
Clark
, L. D.
, Davey
, K.
, Rosindate
, I.
, and Hinduja
, S.
, 2000, “Determination of Heat Transfer Coefficients Using a 1-D Flow Model Applied to Irregular Shaped Cooling Channels in Pressure Diecasting
,” ASME J. Manuf. Sci. Eng.
1087-1357, 122
(4
), pp. 678
–690
.4.
Janik
, M.
, and Dyja
, H.
, 2004, “Modelling of Three-Dimensional Temperature Field Inside the Mould During Continuous Casting of Steel
,” J. Mater. Process. Technol.
0924-0136, 157–158
, pp. 177
–182
.5.
Fachinotti
, V. D.
, and Cardona
, A.
, 2003, “Constitutive Models of Steel Under Continuous Casting Conditions
,” J. Mater. Process. Technol.
0924-0136, 135
(1
), pp. 30
–43
.6.
Amin
, M. R.
, and Gawas
, N. L.
, 2003, “Conjugate Heat Transfer and Effects of Interfacial Heat Flux During the Solidification Process of Continuous Castings
,” ASME J. Heat Transfer
0022-1481, 125
(2
), pp. 339
–349
.7.
Arunkumar
, S.
, Sreenivas Rao
, K. V.
, and Prasanna Kumar
, T. S.
, 2008, “Spatial Variation of Heat Flux at the Metal-Mold Interface Due to Mold Filling Effects in Gravity Die-Casting
,” Int. J. Heat Mass Transfer
0017-9310, 51
, pp. 2676
–2685
.8.
Hallam
, C. P.
, and Griffiths
, W. D.
, 2004, “A Model of The Interfacial Heat-Transfer Coefficient for the Aluminum Gravity Die-Casting Process
,” Metall. Mater. Trans. B
1073-5615, 35
, pp. 721
–733
.9.
Majumdar
, J.
, Raychauduri
, B. C.
, and Dasgupta
, S.
, 1981, “An Instrumentation Scheme for Multipoint Measurement of Mold-Metal Gap in an Ingot Casting System
,” Int. J. Heat Mass Transfer
0017-9310, 24
(7
), pp. 1089
–1095
.10.
Alizadeh
, M.
, Jahromi
, A. J.
, and Abouali
, O.
, 2008, “New Analytical Model for Local Heat Flux Density in the Mold in Continuous Casting of Steel
,” Comput. Mater. Sci.
0927-0256, 44
(2
), pp. 807
–812
.11.
Lau
, F.
, Lee
, W. B.
, Xiong
, S. M.
, and Liu
, B. C.
, 1998, “A Study of the Interfacial Heat Transfer Between an Iron Casting and a Metallic Mould
,” J. Mater. Process. Technol.
0924-0136, 79
, pp. 25
–29
.12.
Nowak
, I.
, Smolka
, J.
, and Nowak
, A. J.
, 2010, “An Effective 3-D Inverse Procedure to Retrieve Cooling Conditions in an Aluminum Alloy Continuous Casting Problem
,” Appl. Therm. Eng.
1359-4311, 30
(10
), pp. 1140
–1151
.13.
Prasanna Kumar
, T. S.
, and Kamath
, H. C.
, 2004, “Estimation of Multiple Heat-Flux Components at the Metal/Mold Interface in Bar and Plate Aluminum Alloy Castings
,” Metall. Mater. Trans. B
1073-5615, 35
(3
), pp. 575
–585
.14.
Zhang
, L. Q.
, Li
, L. X.
, Ju
, H.
, and Zhu
, B. W.
, 2010, “Inverse Identification of Interfacial Heat Transfer Coefficient Between the Casting and Metal Mold Using Neural Network
,” Energy Convers. Manage.
0196-8904, 51
(10
), pp. 1898
–1904
.15.
Xu
, R.
, and Naterer
, G. F.
, 2001, “Inverse Method With Heat and Entropy Transport in Solidification Processing of Materials
,” J. Mater. Process. Technol.
0924-0136, 112
, pp. 98
–108
.16.
Timothy
, J. R.
, 2010, Fuzzy Logic With Engineering Applications
, 3rd ed., Wiley
, Chichester, West Sussex
.17.
Chang
, C. S.
, Chen
, J. M.
, Srinivasan
, D.
, Wen
, F. S.
, and Liew
, A. C.
, 1997, “Fuzzy Logic Approach in Power System Fault Section Identification
,” IEE Proc.: Gener. Transm. Distrib.
1350-2360, 144
(5
), pp. 406
–414
.18.
Wang
, H. M.
, Li
, G. R.
, Lei
, Y. C.
, Zhao
, Y. T.
, Dai
, Q. X.
, and Wang
, J. J.
, 2005, “Mathematical Heat Transfer Model Research for the Improvement of Continuous Casting Slab Temperature
,” ISIJ Int.
0915-1559, 45
(9
), pp. 1291
–1296
.19.
Sargolzaei
, J.
, Khoshnoodi
, M.
, Saghatoleslami
, N.
, and Mousavi
, M.
, 2008, “Fuzzy Inference System to Modeling of Crossflow Milk Ultrafiltration
,” Appl. Soft Comput.
1568-4946, 8
(1
), pp. 456
–465
.20.
Broekhoven
, E. V.
, and Baets
, B. D.
, 2006, “Fast and Accurate Center of Gravity Defuzzification of Fuzzy System Outputs Defined on Trapezoidal Fuzzy Partitions
,” Fuzzy Sets Syst.
0165-0114, 157
, pp. 904
–918
.21.
Yin
, H. B.
, and Yao
, M.
, 2007, “Inverse Problem-Based Analysis on Non-Uniform Profiles of Thermal Resistance Between Strand and Mould for Continuous Round Billets Casting
,” J. Mater. Process. Technol.
0924-0136, 183
, pp. 49
–56
.22.
Han
, H. N.
, Lee
, J. E.
, Yeo
, T. J.
, Won
, Y. M.
, Kim
, K. H.
, Oh
, K. H.
, and Yoon
, J. K.
, 1999, “A Finite Element Model for 2-Dimensional Slice of Cast Strand
,” ISIJ Int.
0915-1559, 39
(5
), pp. 445
–454
.Copyright © 2011
by American Society of Mechanical Engineers
You do not currently have access to this content.
