Fuzzy estimation for heat flux distribution at the slab continuous casting mold surface

Thomas, 2002, Modeling of the continuous casting of steel—past, present, and future, Metall. Mater. Trans. B, 33, 795, 10.1007/s11663-002-0063-9 Tieu, 1997, Simulation of the continuous casting process by a mathematical model, Int. J. Mech. Sci., 39, 185, 10.1016/0020-7403(96)00052-5 Janik, 2004, Modeling of three-dimensional temperature field inside the mould during continuous casting of steel, J. Mater. Process. Technol., 157, 177, 10.1016/j.jmatprotec.2004.09.026 Bermudez, 2004, Numerical solution of a three-dimensional solidification problem in aluminium casting, Finite Elem. Anal. Des., 40, 1885, 10.1016/j.finel.2003.11.010 Shepel, 2002, Numerical simulation of fi nume and solidification of permanent mold castings, Appl. Therm. Eng., 22, 229, 10.1016/S1359-4311(01)00068-0 Majchrzak, 1993, Numerical simulation of continuous casting solidification by boundary element method, Eng. Anal. Bound. Elem., 11, 95, 10.1016/0955-7997(93)90028-J Mochnacki, 1996, Application of the BEM for numerical modeling of continuous casting, Comput. Mech., 18, 62, 10.1007/BF00384177 Jolly, 2002, Casting simulation: how well do reality and virtual casting match? State of the art review, Int. J. Cast. Met. Res., 14, 303, 10.1080/13640461.2002.11819448 Kai, 1985, Metal-mold interface heat transfer, Metall. Mater. Trans. B, 16, 585, 10.1007/BF02654857 Hines, 2004, Determination of interfacial heat transfer boundary conditions in an aluminum low-pressure permanent mold test casting, Metall. Mater. Trans. B, 35, 299, 10.1007/s11663-004-0031-7 Kim, 1997, Time-varying heat transfer coefficients between tube-shaped casting and metal mold, Int. J. Heat Mass Transfer, 40, 3513, 10.1016/S0017-9310(97)00023-9 Nishida, 1986, The air-gap formation process at the casting-mold interface and the heat transfer mechanism through the gap, Metall. Mater. Trans. B, 17, 833, 10.1007/BF02657147 Prabhu, 2005, Casting/mold thermal contact heat transfer during solidification of Al–Cu–Si Alloy (LM21) plates in thick and thin molds, J. Mater. Eng. Perform., 14, 604, 10.1361/105994905X66015 Zhang, 2010, Inverse identification of interfacial heat transfer coefficient between the casting and metal mold using neural network, Energy Convers. Manag., 51, 1898, 10.1016/j.enconman.2010.02.020 Hamasaiid, 2007, Effect of mold coating materials and thickness on heat transfer in permanent mold casting of aluminum alloys, Metall. Mater. Trans. A, 38, 1303, 10.1007/s11661-007-9145-2 Guo, 2008, Effect of process parameters, casting thickness, and alloys on the interfacial heat-transfer coefficient in the high-pressure die-casting process, Metall. Mater. Trans. A, 39, 2896, 10.1007/s11661-008-9640-0 Prasanna Kumar, 1991, Heat flux transients at the casting/chill interface during solidification of aluminum base alloys, Metall. Mater. Trans. B, 22, 717, 10.1007/BF02679028 Arunkumar, 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, 51, 2676, 10.1016/j.ijheatmasstransfer.2007.10.020 Prasanna Kumar, 2004, Estimation of multiple heat-flux components at the metal/mold interface in bar and plate aluminum alloy castings, Metall. Mater. Trans. B, 35, 575, 10.1007/s11663-004-0056-y Majchrzak, 2008, Identification of boundary heat flux on the continuous casting surface, Arch. Foundry Eng., 8, 105 Huang, 1992, Conjugate gradient method for determining unknown contact conductance during metal casting, Int. J. Heat Mass Transfer, 35, 1779, 10.1016/0017-9310(92)90148-L Ranjbar, 2009, Optimization of experimental design for an inverse estimation of the metal-mold heat transfer coefficient in the solidification of Sn–10% Pb, J. Mater. Process. Technol., 209, 5611, 10.1016/j.jmatprotec.2009.05.019 Loulou, 1999, Estimation of thermal contact resistance during the first stages of metal solidification process: I—experiment principle and modelisation, Int. J. Heat Mass Transfer, 42, 2119, 10.1016/S0017-9310(98)00333-0 Nowak, 2010, An effective 3-D inverse procedure to retrieve cooling conditions in an aluminum alloy continuous casting problem, Appl. Therm. Eng., 30, 1140, 10.1016/j.applthermaleng.2010.01.029 Zhu, 2012, Inverse estimation for heat flux distribution at the metal-mold interface using fuzzy inference, J. Heat Transfer Trans. ASME, 133, 081602, 10.1115/1.4003743 Wang, 2011, A decentralized fuzzy inference method for solving the two-dimensional, Int. J. Heat Mass Transfer, 54, 2782, 10.1016/j.ijheatmasstransfer.2011.01.032 Wang, 2012, Fuzzy estimation for temperature distribution of furnace inner surface, Int. J. Therm. Sci., 51, 84, 10.1016/j.ijthermalsci.2011.07.015 Wang, 2005, Mathematical heat transfer model research for the improvement of continuous casting slab temperature, ISIJ Int., 45, 1291, 10.2355/isijinternational.45.1291 Won, 1998, Analysis of mold wear during continuous casting of slab, ISIJ Int., 38, 53, 10.2355/isijinternational.38.53 Sargolzaei, 2008, Fuzzy inference system to modeling of crossflow milk ultrafiltration, Appl. Soft Comput., 8, 456, 10.1016/j.asoc.2007.02.007 Broekhoven, 2006, Fast and accurate center of gravity defuzzification of fuzzy system outputs defined on trapezoidal fuzzy partitions, Fuzzy Set. Syst., 157, 904, 10.1016/j.fss.2005.11.005 Alifanov, 1974, Solution of an inverse problem of heat conduction by iteration methods, J. Eng. Phys. Thermophys., 26, 471 Li, 2003, Identification of wall heat flux for turbulent forced convection by inverse analysis, Int. J. Heat Mass Transfer, 46, 1041, 10.1016/S0017-9310(02)00364-2