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Original Articles

Control of Unsteady Solidification Via Optimized Magnetic Fields

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Pages 435-458 | Received 06 Apr 2004, Accepted 08 Nov 2004, Published online: 07 Feb 2007

REFERENCES

  • Motakeff , S. Magnetic field elimination of convective interference with segregation during vertical-Bridgman growth of doped semiconductors . J. Crystal Growth 1990 , 104 , 833 – 850 .
  • Dulikravich , G.S. ; Ahuja , V. ; Lee , S. Modeling three-dimensional solidification with magnetic fields and reduced gravity . Int. J. Heat Mass Transfer 1994 , 37 ( 5 ), 837 – 853 . [CROSSREF]
  • Dulikravich , G.S. Electro-Magneto-Hydrodynamics and Solidification . In Advances in Flow and Rheology of Non-Newtonian Fluids, Part B ; Siginer , D.A. , De Kee , D. , Chhabra , R.P. ,; Eds.; Rheology Series , 8 ; Elsevier Publishers : New York , 1999 ; 677 – 716 .
  • Sampath , R. ; Zabaras , N. A functional optimization approach to an inverse magneto-convection problem . Computer Methods Appl. Mech. Eng. 2001 , 190 , 2063 – 2097 . [CSA] [CROSSREF]
  • Fedoseyev , K.I. ; Kansa , E.J. ; Marin , C. ; Ostrogorsky , A.G. Magnetic field suppression of semiconductor melt flow in crystal growth: Comparison of three methods for numerical modeling . JPN CFD J. 2001 , 9 , 325 – 333 . [CSA]
  • Dennis , B.H. ; Dulikravich , G.S. Magnetic field suppression of melt flow in crystal growth . Int. J. Heat Fluid Flow 2002 , 23 ( 3 ), 269 – 277 . [CROSSREF]
  • Dulikravich , G.S. ; Colac¸o , M.J. ; Dennis , B.H. ; Martin , T.J. ; Lee , S. Optimization of intensities and orientations of magnets controlling melt flow during solidification . J. Mater. Manuf. Processes 2004 , 19 , ( 4 ), 695 – 718 . [CROSSREF]
  • Voller , V.R. ; Brent , A.D. ; Prakash , C. The modeling of heat, mass and solute transport in solidification systems . Int. J. Heat Mass Transfer 1989 , 32 , 1719 – 1731 . [CSA] [CROSSREF]
  • Van Doormal , J.P. ; Raithby , G.D. Enhancements of the SIMPLE method for predicting incompressible fluid flow . Numer. Heat Transfer 1984 , 7 , 147 – 163 .
  • Raithby , G.D. ; Torrance , K.E. Upstream-weighted differencing schemes and their application to elliptic problems involving fluid flow . Computers Fluids 1974 , 2 , 191 – 206 . [CROSSREF]
  • Rappaz , M. Modelling of microstructure formation in solidification process . Int. Mater. Rev. 1989 , 34 , 93 – 123 . [CSA]
  • Colac¸o , M.J. ; Orlande , H.R.B. Inverse forced convection problem of simultaneous estimation of two boundary heat fluxes in irregularly shaped channels. Numer. Heat Transfer–Part A 2001 39, 737–760. [CSA] [CROSSREF]
  • Colac¸o , M.J. ; Orlande , H.R.B. In Inverse Convection Problems in Irregular Geometries, Proc. of the 21 st Southeastern Conference on Theoretical and Applied Mechanics, Orlando, FL, March 12–15, 2002 .
  • Woodson , H.H. ; Melcher , J.R. Electromechanical Dynamics Part III Elastic and Fluid Media ; John Wiley & Sons, Inc. : New York , 1968 .
  • Özisik , M.N. Heat Conduction , 2nd Ed. ; Wiley-Interscience : New York , 1993 .
  • Bertrand , O. ; Binet , B. ; Combeau , H. ; Couturier , S. ; Delannoy , Y. ; Gobin , D. ; Lacroix , M. ; Le Quéré , P. ; Médale , M. ; Mencinger , J. ; Sadat , H. ; Vieira , G. Melting driven by natural convection—a comparison exercise: First results . Int. J. Thermal Sci. 1999 , 38 , 5 – 26 . [CROSSREF]
  • Ozoe , H. ; Okada , K. The effect of the direction of the external magnetic field on the three-dimensional natural convection in a cubical enclosure . Int. J. Heat Mass Transfer 1989 , 32 , 1939 – 1954 . [CSA] [CROSSREF]
  • Dulikravich , G.S. ; Martin , T.J. ; Dennis , B.H. ; Foster , N.F. Multidisciplinary hybrid constrained GA optimization . In EUROGEN’99—Evolutionary Algorithms in Engineering and Computer Science: Recent Advances and Industrial Applications ; Miettinen , K. , Makela , M.M. , Neittaanmaki , P. , Periaux , J. ; Eds.; Jyvaskyla , Finland , May 30–June 3 , 1999 , John Wiley & Sons : New York , 1999 ; 233 – 259 .
  • Dulikravich , G.S. ; Colaco , M.J. ; Martin , T.J. ; Lee , S. Magnetized fiber orientation and concentration control in solidifying composites . J. Composite Mater. 2003 , 37 ( 15 ), 351 – 1366 .
  • Dennis , B.H. ; Dulikravich , G.S. Optimization of magneto-hydrodynamic control of diffuser flows using micro-genetic algorithm and least squares finite elements . J. Finite Elements Analysis Design 2001 , 37 349 – 363 . [CROSSREF]
  • Chakraborti , N. Genetic algorithms in materials design and processing . Int. Mater. Rev. 2004 , 49 , 246 – 260 . [CROSSREF]

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