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Alexiades V. — Mathematical Modeling of Melting and Freezing Processes
Alexiades V. — Mathematical Modeling of Melting and Freezing Processes

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Название: Mathematical Modeling of Melting and Freezing Processes

Автор: Alexiades V.

Язык: en

Рубрика: Разное/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 323

Добавлена в каталог: 09.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Ablation      25
Alloy      see also “Binary alloy”
Alloy, dilute      114 160
Alloy, solidification      104 109
Alloy, solidification, of eutectic      110
Alloy, solidification, with complete mixing of liquid      112
Amorphous phase      2 80 102
Approximation to root of transcendental equation to two-phase case      40 50
Axisymmetric problems      118 144
Binary alloy, definition      98
Binary alloy, similarity solution      106 111
Binary alloy, uncoupled models of solidification      109
Biot number      137—139
boundary conditions      13 17
Boundary conditions, discretization of      191
CFL stabUity condition      183 195 218 285
Charging time      29 300
Clapeyron relation      90—91
Classical formulation      24 250 261
Concentration in binary alloy      98 100
Conduction      2 12 183
Conductivity, thermal      18
Conservation law      12 72—73 103 183
Conservation law, discrete      185
Constitutional supercooling      112
Contrived solution of multidimensional problem      121
Control volume      184
Convection      2 61
Convergence      193 260
Cryosurgery      64—68
Curvature      81
Density, effect of change upon phase change      59
Diffusion equation      103 (see also “Heat equation”)
Dilute alloy      114
Dimensionless form      37 48
Dirac $\delta$      245
Directional solidification      115
Discharging time      29—30 297
Distribution or generalized function      245
Distribution, coefficient, of binary alloy      114 160
Elliptic equation      14
Energy balance, global      21 185 212
Energy conservation      12 72
Enthalpy      8 72
Enthalpy, method      211 212
Enthalpy, method, convergence, of      263—264
Equation of state      6 74 212
Equilibrium melt temperature      79 91
Error function      16 36 39—40 58
Error, computing      121 194 232 273
Explicit scheme      187 218 260
Fick’s law      103
Flux, discrete      187
Flux, heat      8 73
Flux, mass      103
Fourier number      37
Fourier’s law      10—11
Front capturing schemes      210
Front tracking schemes      210
Gauss — Seidel iteration      199 225
Gibbs — Thomson relation      4 80 92—93
Gibbs, free energy      90
Gibbs, phase rule      100
Glauber’s salt      55 172
Goodman’s method      165
Grashof number      281
Heat      2 8—17
Heat, balance integral method      165
Heat, balance, discrete      190
Heat, capacity      see “Specific heat”
Heat, conduction      8
Heat, equation      12—13
Heat, flow rate      11
Heat, of fusion      9 74 90
Heat, storage      55 149
Heat, transfer coefficient      18 174 290
Heat, transfer, modes of      2
Heat, transfer, numerical      181
Hyperbolic equation      15
Hypercooling      3 85
Implicit scheme      187 224—231
Instability, of interface      80 102
Interdiffusion      102
Interdiffusion, coefficient      103
INTERFACE      3 20 80
Interface, condition      19 72—73 80
Jump condition across an interface      20 73 81 247
Kirchoff temperature      216 252
Laplace equation      13
Laplace — Young relation      89
Latent heat      2 6 9 81
Latent heat, thermal energy storage      29 274 284 293
Lever rule      100 115
Liquid fraction      100 213
Liquidus curve      100 114—115
Lithium fluoride      71 294
Marangoni convection      5 60
Mass conservation      72
Megerlin method      162
Melt time approximations, convective boundary condition      171
Melt time approximations, cylinder array      174
Melt time approximations, rectangular body      173
Melt time approximations, simple body      168
Miscibility gap in phase diagram      100
Mole fraction      98
Moving boundary problem      6 24
Mushy region      9 100 102 140 301
Neumann similarity solution      36—37 47 50
Newton iteration scheme      229
Newton’s Law of Cooling      18
One-phase problem      25 34 82 114 127 134 140 144 155 157 160 163—167
Parabolic equation      15
PCM      6 276 284 290—303
Perturbation method      154
Phase, diagram      99 114
Phase, equilibrium      88—93
Prandtl number      152 281
Pressure      73—75 89—92
Quasistationary approximation      44 126
Quasistationary approximation for 2-phase problems      133
Quasistationary approximation for cylindrical geometry      144 147
Quasistationary approximation for slab geomerty      127 134 137
Quasistationary approximation for spherical geometry      148
Quasistationary approximation, flaw for large Biot number      137
Quasistationary approximation, internal heating case      140
Radiation      2 18
Reynolds number      152
Scheilrule      115
Segregation      112
Sensible heat      9 51 113
Sensitivity      9
Similarity solution      36 47 63
Similarity solution, to alloy solidification      106 111
Similarity solution, to axisymmetric problems      118—119
Similarity solution, to one-phase Stefan problem      34—35
Similarity solution, to spherically symmetric problems      117
Similarity solution, to supercooling      84—85
Similarity solution, to two-phase Stefan problem      46
Similarity solution, to void growth scenario      68
Sobolev space      247
Solidus curve      100 114 115
Solute      98
Solvent      98
Specific heat      8 9
Spherically symmetric problems      117 148
Stability, morphological      81 94—96
Stability, numerical      183 195 218
Steady state      79 87
Stefan condition      21—22 47 255
Stefan number      38 46 293
Stefan number, case of small value      43 126
Stefan number, interpretation as ratio of energies      52
Stefan Problem, 1-phase      see “One-phase problem”
Stefan Problem, 2-phase      23 46 62 70 84 105 111
Stefan Problem, classical      6 34 46 250 261
Stefan Problem, weak formulation      248 262
Subcooling, initial      52 168
Supercooling      3 79—82
Supercooling, constitutional      102 108
Supercooling, freezing of supercooled melt      82 84 119
Superheating      3
Temperature      2—5 8
Temperature of phase-change (or melt)      2 79 84 91
Temperature-time curve, shape of      52
Thermal diffusivity      13
Thermal energy      2 52 276 293
Thermodynamics, first law of      12
Thermodynamics, second law of      89
Thermophysical properties of Calcium Cloride Hexahydrate      277
Thermophysical properties, copper      38
Thermophysical properties, Glauber’s salt      55 172
Thermophysical properties, ice      8 38 45 65 86
Thermophysical properties, LiF      71 294
Thermophysical properties, parafin wax      39 169
Thermophysical properties, silicon dioxide      39
Thermophysical properties, water      8 38 41 65 86
Transcendental equation for binary alloy solidification      104
Transcendental equation for Neumann solution      36—37 47
Transcendental equation for problem with density change      59
Transcendental equation for problem with void formation      68
Transcendental equation for supercooled solidification      85
Transcendental equation, approximation to root of      49
Trombe wall      276 279—290
Two-phase problem      46—58
Void due to shrinkage, formation      68—71 76
Void due to shrinkage, heat transfer across      69
Void due to shrinkage, problem with explicit solution      68
Wave equation      14
Weak derivative      244
Weak formulation      248 253 262
Weak solution      250 263
Weak solution, uniqueness of      257 263
Weight fraction of solute      98—99
Well posedness      12 260
Zero latent heat      51—52
Zone refining      112 115
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