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Volumn 6, Issue 4, 1998, Pages 423-445

Effect of axisymmetric magnetic fields on heat flow and interfaces in floating-zone silicon crystal growth

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CRYSTAL GROWTH; ELECTRIC CONDUCTIVITY OF SOLIDS; FINITE VOLUME METHOD; FLOW PATTERNS; HEAT CONVECTION; INTERFACES (MATERIALS); MAGNETIC FIELD EFFECTS; SEGREGATION (METALLOGRAPHY);

EID: 0032116337     PISSN: 09650393     EISSN: None     Source Type: Journal    
DOI: 10.1088/0965-0393/6/4/010     Document Type: Article
Times cited : (7)

References (40)
  • 3
    • 0041187407 scopus 로고
    • Magnetic field effects on float-zone Si crystal growth-II. Strong transverse fields
    • Robertson G D and O'Connor D J 1986 Magnetic field effects on float-zone Si crystal growth-II. Strong transverse fields J. Crystal Growth 76 100-10
    • (1986) J. Crystal Growth , vol.76 , pp. 100-110
    • Robertson, G.D.1    O'Connor, D.J.2
  • 4
    • 0000256766 scopus 로고
    • Magnetic field effects on float-zone Si crystal growth - III. Strong axial fields
    • Robertson G D and O'Connor D J 1986 Magnetic field effects on float-zone Si crystal growth - III. Strong axial fields J. Crystal Growth 76 111-22
    • (1986) J. Crystal Growth , vol.76 , pp. 111-122
    • Robertson, G.D.1    O'Connor, D.J.2
  • 5
    • 0027904387 scopus 로고
    • Hydromagnetic flows and effects on Czochralski silicon crystals
    • Langlois W E, Kim K M and Walker J S 1993 Hydromagnetic flows and effects on Czochralski silicon crystals J. Crystal Growth 126 352-72
    • (1993) J. Crystal Growth , vol.126 , pp. 352-372
    • Langlois, W.E.1    Kim, K.M.2    Walker, J.S.3
  • 6
    • 0024738870 scopus 로고
    • Species transport in magnetic field Czochralski growth
    • Riley N 1989 Species transport in magnetic field Czochralski growth J. Crystal Growth 97 76-84
    • (1989) J. Crystal Growth , vol.97 , pp. 76-84
    • Riley, N.1
  • 7
    • 0024302476 scopus 로고
    • Oxygen-transport in magnetic Czochralski growth of silicon with a non-uniform magnetic-field
    • Hicks T W, Organ A E and Riley N 1989 Oxygen-transport in magnetic Czochralski growth of silicon with a non-uniform magnetic-field J. Crystal Growth 94 213-28
    • (1989) J. Crystal Growth , vol.94 , pp. 213-228
    • Hicks, T.W.1    Organ, A.E.2    Riley, N.3
  • 8
    • 0024733429 scopus 로고
    • Effect of a shaped magnetic field on Czochralski silicon growth
    • Series R W 1989 Effect of a shaped magnetic field on Czochralski silicon growth J. Crystal Growth 7 92-8
    • (1989) J. Crystal Growth , vol.7 , pp. 92-98
    • Series, R.W.1
  • 9
    • 0027109661 scopus 로고
    • Three-dimensional numerical analyses of the effects of a cusp magnetic field on the flows, oxygen transport and heat transfer in a Czochralski silicon melt
    • Hirata H and Hoshikawa K 1989 Three-dimensional numerical analyses of the effects of a cusp magnetic field on the flows, oxygen transport and heat transfer in a Czochralski silicon melt J. Crystal Growth 125 181-207
    • (1989) J. Crystal Growth , vol.125 , pp. 181-207
    • Hirata, H.1    Hoshikawa, K.2
  • 12
    • 0027589628 scopus 로고
    • Magnetically damped convection during solidification of a binary metal alloy
    • Prescott P J and Incropera F P 1993 Magnetically damped convection during solidification of a binary metal alloy J. Heat Transfer 115 302-10
    • (1993) J. Heat Transfer , vol.115 , pp. 302-310
    • Prescott, P.J.1    Incropera, F.P.2
  • 13
    • 0028760316 scopus 로고
    • Segregation in Si floating-zone crystals grown under microgravity and in a magnetic field
    • Croll A, Dold P and Benz K W 1994 Segregation in Si floating-zone crystals grown under microgravity and in a magnetic field J. Crystal Growth 137 95-101
    • (1994) J. Crystal Growth , vol.137 , pp. 95-101
    • Croll, A.1    Dold, P.2    Benz, K.W.3
  • 14
    • 0024887907 scopus 로고
    • Buoyancy and surface tension driven flows in float zone crystal growth with a strong axial magnetic field
    • Lie K H, Riahi D N and Walker J S 1989 Buoyancy and surface tension driven flows in float zone crystal growth with a strong axial magnetic field Int. J Heat Mass Transfer 32 2409-20
    • (1989) Int. J Heat Mass Transfer , vol.32 , pp. 2409-2420
    • Lie, K.H.1    Riahi, D.N.2    Walker, J.S.3
  • 15
    • 0348115055 scopus 로고
    • Centrifugal pumping in the floating zone growth of silicon crystals with an axial magnetic field
    • Lie K H, Walker S J and Riahi D N 1988 Centrifugal pumping in the floating zone growth of silicon crystals with an axial magnetic field, PhysicoChemico Hydrodynamics 10 441-60
    • (1988) PhysicoChemico Hydrodynamics , vol.10 , pp. 441-460
    • Lie, K.H.1    Walker, S.J.2    Riahi, D.N.3
  • 16
    • 0026412691 scopus 로고
    • Melt motion in the float zone process with an axial magnetic field
    • Lie K H, Walker J S and Riahi D N 1991 Melt motion in the float zone process with an axial magnetic field, J. Crystal Growth 109 167-73
    • (1991) J. Crystal Growth , vol.109 , pp. 167-173
    • Lie, K.H.1    Walker, J.S.2    Riahi, D.N.3
  • 18
    • 0023345852 scopus 로고
    • Effects of finite electrical conductivity of the crystal on hydromagnetic Czochralski flow
    • Langlois W E, Hjellming L N and Walker J S 1987 Effects of finite electrical conductivity of the crystal on hydromagnetic Czochralski flow J. Crystal Growth 83 51-61
    • (1987) J. Crystal Growth , vol.83 , pp. 51-61
    • Langlois, W.E.1    Hjellming, L.N.2    Walker, J.S.3
  • 19
    • 0022675514 scopus 로고
    • Melt motion in a Czochralski crystal puller with an axial magnetic field: Isothermal motion
    • Hjellming L N and Walker J S 1986 Melt motion in a Czochralski crystal puller with an axial magnetic field: isothermal motion J. Fluid Mechanics 164 237-73
    • (1986) J. Fluid Mechanics , vol.164 , pp. 237-273
    • Hjellming, L.N.1    Walker, J.S.2
  • 20
    • 0026412541 scopus 로고
    • Heat transfer, fluid flow, and interface shapes in floating-zone crystal growth
    • Lan C W and Kou S 1991 Heat transfer, fluid flow, and interface shapes in floating-zone crystal growth J. Crystal Growth 108 351-66
    • (1991) J. Crystal Growth , vol.108 , pp. 351-366
    • Lan, C.W.1    Kou, S.2
  • 21
    • 0028468801 scopus 로고
    • Newton's method for solving heat transfer, fluid flow, and interface shapes in a floating molten zone
    • Lan C W 1994 Newton's method for solving heat transfer, fluid flow, and interface shapes in a floating molten zone, Int. Numer. Methods Fluids 19 41-65
    • (1994) Int. Numer. Methods Fluids , vol.19 , pp. 41-65
    • Lan, C.W.1
  • 22
    • 84984465248 scopus 로고
    • Finite element analysis of melt convection and interface morphology in earthbound and microgravity floating zones
    • Duranceau J L and Brown R A 1989 Finite element analysis of melt convection and interface morphology in earthbound and microgravity floating zones AIP Conference Proc. 197 133-44
    • (1989) AIP Conference Proc. , vol.197 , pp. 133-144
    • Duranceau, J.L.1    Brown, R.A.2
  • 25
    • 0026819161 scopus 로고
    • Heat transfer and fluid flow in floating-zone crystal growth with a mostly covered melt surface
    • Lan C W and Kou S 1992 Heat transfer and fluid flow in floating-zone crystal growth with a mostly covered melt surface, Int. J. Heat Mass Transfer 35 433-42
    • (1992) Int. J. Heat Mass Transfer , vol.35 , pp. 433-442
    • Lan, C.W.1    Kou, S.2
  • 26
    • 0026403715 scopus 로고
    • Effect of rotation on heat transfer, fluid flow, and interfaces in normal gravity floating-zone crystal growth
    • Lan C W and Kou S 1993 Effect of rotation on heat transfer, fluid flow, and interfaces in normal gravity floating-zone crystal growth, J. Crystal growth 114 517-35
    • (1993) J. Crystal Growth , vol.114 , pp. 517-535
    • Lan, C.W.1    Kou, S.2
  • 27
    • 49549144835 scopus 로고
    • The direction of growth of the surface of a crystal in contact with its melt 7
    • Surek T and Chalmers B 1975 The direction of growth of the surface of a crystal in contact with its melt 7. Crystal Growth 29 1-11
    • (1975) Crystal Growth , vol.29 , pp. 1-11
    • Surek, T.1    Chalmers, B.2
  • 29
    • 0021488802 scopus 로고
    • Software for estimating sparse Jacobian matrices
    • Coleman T F, Carbow B S and More J J 1983 Software for estimating sparse Jacobian matrices ACM Trans. 10 329-47
    • (1983) ACM Trans. , vol.10 , pp. 329-347
    • Coleman, T.F.1    Carbow, B.S.2    More, J.J.3
  • 30
    • 84966225158 scopus 로고
    • An iterative solution method of linear systems of which the coefficient matrix is a symmetric M-matrix
    • Meijerink J A and van der Vorst H A 1977 An iterative solution method of linear systems of which the coefficient matrix is a symmetric M-matrix Math. Comput. 31 148-62
    • (1977) Math. Comput. , vol.31 , pp. 148-162
    • Meijerink, J.A.1    Van Der Vorst, H.A.2
  • 31
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Saad Y and Schultz M H 1986 GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Stat. Comput. 7 856-69
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 32
    • 0000276399 scopus 로고
    • Numerical solution of bifurcation and nonlinear eigenvalue problems
    • ed P H Rabinowitz (New York: Academic)
    • Keller H B 1977 Numerical solution of bifurcation and nonlinear eigenvalue problems Applications of Bifurcation Theory ed P H Rabinowitz (New York: Academic) pp 359-84
    • (1977) Applications of Bifurcation Theory , pp. 359-384
    • Keller, H.B.1
  • 33
    • 0028152248 scopus 로고
    • Computer simulation of heat transfer, fluid flow, and interfaces in a floating molten zone: A half-zone configuration
    • Lan C W, Ting C C and Yang D T 1994 Computer simulation of heat transfer, fluid flow, and interfaces in a floating molten zone: a half-zone configuration J. Chin. I. Ch. E. 25 391-404
    • (1994) J. Chin. I. Ch. E. , vol.25 , pp. 391-404
    • Lan, C.W.1    Ting, C.C.2    Yang, D.T.3
  • 34
    • 0030240658 scopus 로고    scopus 로고
    • A finite-volume/Newton Method for a two-phase heat flow problem using primitive variables and collocated grids
    • Liang M C and Lan C W 1996 A finite-volume/Newton Method for a two-phase heat flow problem using primitive variables and collocated grids J. Comp. Phys. bf 127 330-45
    • (1996) J. Comp. Phys. Bf , vol.127 , pp. 330-345
    • Liang, M.C.1    Lan, C.W.2
  • 35
    • 0029279286 scopus 로고    scopus 로고
    • A finite volume method for solute segregation in directional solidification and comparison with a finite element method
    • Lan C W and Chen F C 1996 A finite volume method for solute segregation in directional solidification and comparison with a finite element method, Comput. Methods Appl. Mech. Eng. 131 191-207
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.131 , pp. 191-207
    • Lan, C.W.1    Chen, F.C.2
  • 37
    • 0030566307 scopus 로고    scopus 로고
    • Effect of axisymmetric magnetic fields on radial dopant segregation of floating-zone silicon growth in a mirror furnace
    • Lan C W 1996 Effect of axisymmetric magnetic fields on radial dopant segregation of floating-zone silicon growth in a mirror furnace J. Crystal Growth 169 269-78
    • (1996) J. Crystal Growth , vol.169 , pp. 269-278
    • Lan, C.W.1
  • 39
    • 0027906467 scopus 로고
    • Effect of rotation on radial dopant segregation in microgravity floating-zone crystal growth
    • Lan C W and Kou S 1991 Effect of rotation on radial dopant segregation in microgravity floating-zone crystal growth J. Crystal Growth 133 309-21
    • (1991) J. Crystal Growth , vol.133 , pp. 309-321
    • Lan, C.W.1    Kou, S.2
  • 40
    • 0026819056 scopus 로고
    • Magnetic field effects on Marangoni and natural convections in a rectangular open boat
    • Hirata A, Tachibana M, Okano Y and Fukuda T 1992 Magnetic field effects on Marangoni and natural convections in a rectangular open boat J. Chem. Eng. Japan 25 62-6
    • (1992) J. Chem. Eng. Japan , vol.25 , pp. 62-66
    • Hirata, A.1    Tachibana, M.2    Okano, Y.3    Fukuda, T.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.