Handbook of Mathematical Relations in Particulate Materials Processing 978-0-470-17364-0

Table of contents :
Cover Page......Page 1
Title Page......Page 3
ISBN 0470173645......Page 4
A......Page 6
C......Page 7
D......Page 9
E......Page 11
F......Page 12
G......Page 13
H......Page 14
I......Page 15
L......Page 16
M......Page 17
O......Page 19
P......Page 20
Q......Page 22
S......Page 23
T......Page 26
V......Page 28
References......Page 29
FOREWORD......Page 30
ABOUT THE AUTHORS......Page 32
ABNORMAL GRAIN GROWTH (Worner et al. 1991; Kang 2005)......Page 33
ACCELERATION OF FREE-SETTLING PARTICLES (Han 2003)......Page 35
ACTIVATED SINTERING, EARLY-STAGE SHRINKAGE (German and Munir 1977)......Page 36
AGGLOMERATE STRENGTH (Pietsch 1984)......Page 37
ANDREASEN SIZE DISTRIBUTION (Andreasen 1930)......Page 38
ARCHARD EQUATION (Archard 1957)......Page 39
ARCHIMEDES DENSITY......Page 40
ARRHENIUS RELATION......Page 41
ATOMIC-SIZE RATIO IN AMORPHOUS METALS......Page 42
AVRAMI EQUATION (Avrami 1939)......Page 43
BELL CURVE......Page 45
BENDING-BEAM VISCOSITY (Bollina and German 2004)......Page 46
BENDING TEST (Meyers 1985; Morrell 1989; Green 1998)......Page 48
BET SPECIFIC SURFACE AREA (Brunauer et al. 1938)......Page 50
BIMODAL POWDER PACKING......Page 52
BIMODAL POWDER SINTERING (German 1996)......Page 53
BINDER BURNOUT......Page 54
BINGHAM VISCOUS-FLOW MODEL (Foong et al. 1995)......Page 55
BRAGG’S LAW......Page 56
BRAZILIAN TEST (Frocht 1947)......Page 57
BREAKAGE MODEL (Berestycki 2003)......Page 58
BRINELL HARDNESS......Page 59
BROADENING......Page 60
BROWNIAN MOTION (Einstein 1956)......Page 61
BULK TRANSPORT SINTERING......Page 62
CAPILLARITY......Page 63
CASSON MODEL (Agote et al. 2001)......Page 64
CEMENTED-CARBIDE HARDNESS (Luyckx 2000)......Page 65
CENTRIFUGAL ATOMIZATION PARTICLE SIZE......Page 66
CHARLES EQUATION FOR MILLING (Herbst et al. 2003)......Page 67
COAGULATION TIME (Kruis et al. 1993)......Page 68
COALESCENCE-INDUCED MELTING OF NANOSCALE PARTICLES (Hendy 2005)......Page 69
COBLE CREEP (Coble 1963)......Page 70
COLD-SPRAY PROCESS......Page 71
COMMINUTION LAW......Page 72
COMPLEXITY......Page 73
COMPLEX VISCOSITY (Gadow et al. 2005)......Page 74
COMPOSITE DENSITY......Page 75
COMPOSITE ELASTIC MODULUS (Nakamura and Gurland 1980; Green 1998)......Page 76
COMPOSITE THERMAL CONDUCTIVITY......Page 77
COMPOSITE THERMAL EXPANSION COEFFICIENT (Fahmy and Ragai 1970)......Page 78
CONDUCTIVE HEAT FLOW (Chung 1983)......Page 79
CONDUCTIVITY (Luikov et al. 1968)......Page 80
CONSTRUCTIVE REINFORCEMENT IN X-RAY DIFFRACTION......Page 81
CONTACT PRESSURE......Page 82
CONTACTS PER PARTICLE......Page 83
CONTIGUITY (German 1996)......Page 84
CONTINUUM THEORY OF SINTERING (Olevesky 1998)......Page 85
CONTINUUM THEORY FOR FIELD-ACTIVATED SINTERING (Olevsky and Froyen 2006)......Page 86
CONVECTIVE HEAT TRANSFER (Chung 1983)......Page 87
COOLING TIME IN MOLDING (German and Bose 1997)......Page 88
COORDINATION NUMBER AND DENSITY (German 1996)......Page 89
COORDINATION NUMBER FOR ORDERED PACKINGS (Gray 1968)......Page 90
COORDINATION NUMBER IN LIQUID-PHASE SINTERING (German 1996)......Page 91
COSTING AND PRICE ESTIMATION (German 2005)......Page 92
COULOMB’S LAW FOR PLASTIC YIELDING (Adams and Briscoe 1994)......Page 94
CREEP-CONTROLLED DENSIFICATION (Wilkinson and Ashby 1978)......Page 95
CROSS MODEL......Page 96
CYCLONE SEPARATION OF POWDER (Mular 2003)......Page 97
CYLINDRICAL CRUSH STRENGTH......Page 98
DARCY’S LAW (Scheidegger 1960)......Page 99
DEBINDING TEMPERATURE (Atre 2002; Van Krevelan 1990)......Page 100
DELUBRICATION......Page 102
DENSIFICATION RATE (Gupta 1971; Kang 2005)......Page 103
DENSIFICATION RATIO (Blaine et al. 2006)......Page 105
DENSITY CALCULATION FROM DILATOMETRY (Park et al. 2006)......Page 106
DEW POINT......Page 107
DIE-WALL FRICTION (Jones 1960)......Page 108
DIFFUSION-CONTROLLED GRAIN GROWTH IN LIQUID-PHASE SINTERING......Page 110
DIHEDRAL ANGLE......Page 111
DILATANT FLOW MOMENTUM MODEL......Page 112
DILATANT FLOW VISCOSITY MODEL (Rahaman 1995)......Page 113
DIMENSIONAL PRECISION AND GREEN MASS VARIATION......Page 114
DISLOCATION CLIMB-CONTROLLED PRESSURE-ASSISTED SINTERING DENSIFICATION (Ramqvist 1966)......Page 116
DISSOLUTION INDUCED DENSIFICATION (Savitskii et al. 1980; Savitskii 1993)......Page 117
DORN TECHNIQUE (Bacmann and Cizeron 1968)......Page 118
DUCTILITY VARIATION WITH DENSITY......Page 119
ELASTIC BEHAVIOR......Page 121
ELASTIC-DEFORMATION NECK-SIZE RATIO (Zhu and Averback 1996)......Page 122
ELASTIC-PROPERTY VARIATION WITH POROSITY (Panakkal et al. 1990)......Page 123
ELECTRICAL-CONDUCTIVITY VARIATION WITH POROSITY (Koh and Fortini 1973)......Page 124
ELECTROMIGRATION CONTRIBUTIONS TO SPARK SINTERING (Olevsky and Froyen 2006)......Page 125
ELONGATION......Page 126
ENERGY IN A PARTICLE......Page 127
EQUILIBRIUM CONSTANT (Silbey et al. 2005)......Page 128
EQUIVALENT SPHERICAL DIAMETER (Allen 1997)......Page 129
ERROR FUNCTION FOR CUMULATIVE LOG-NORMAL DISTRIBUTION (Aitchison and Brown 1963)......Page 130
EVAPORATION (Silbey et al. 2005)......Page 131
EXPONENTIAL DISTRIBUTION FUNCTION (M. Evans et al. 1993)......Page 132
EXTRUSION CONSTANT (Bufferd 1972)......Page 133
FEEDSTOCK VISCOSITY AS A FUNCTION OF SHEAR RATE......Page 135
FIBER-FRACTURE PROBABILITY......Page 136
FIBER PACKING DENSITY (Milewski and Davenport 1987)......Page 137
FICK’S SECOND LAW (Shewmon 1989)......Page 138
FIELD-ACTIVATED SINTERING (Olevsky and Froyen 2006)......Page 139
FINAL-STAGE DENSIFICATION (Markworth 1972)......Page 141
FINAL-STAGE LIQUID-PHASE SINTERING DENSIFICATION (German 1996)......Page 142
FINAL-STAGE PRESSURE-ASSISTED DENSIFICATION (Ramqvist 1966; Helle et al. 1985)......Page 144
FINAL-STAGE PRESSURE-ASSISTED VISCOUS FLOW......Page 145
FINAL-STAGE SINTERING GRAIN GROWTH AND PORE DRAG (Kang 2005)......Page 146
FINAL-STAGE SINTERING LIMITED DENSITY......Page 147
FIRST-STAGE SHRINKAGE IN SINTERING......Page 149
FISHER SUBSIEVE PARTICLE SIZE......Page 150
FLOW GOVERNING EQUATION DURING POWDER INJECTION MOLDING (Kwon and Ahn 1995)......Page 151
FLUIDIZED-BED PROCESSING......Page 153
FRACTIONAL COVERAGE OF GRAIN BOUNDARIES IN SUPERSOLIDUS SINTERING......Page 154
FRAGMENTATION BY LIQUID......Page 155
FRICTION AND WEAR TESTING (Matsugi et al. 2007)......Page 156
FUNICULAR-STATE TENSILE STRENGTH (Keey 1992)......Page 157
GAS-ATOMIZATION COOLING RATE......Page 159
GAS-ATOMIZATION MELT FLOW RATE (Lawley 1992)......Page 160
GAS-ATOMIZATION PARTICLE SIZE......Page 161
GAS-GENERATED FINAL PORES......Page 162
GATE STRAIN RATE IN INJECTION MOLDING......Page 163
GAUDIN–SCHUHMANN DISTRIBUTION (Mular 2003)......Page 164
GAUSSIAN DISTRIBUTION......Page 165
GEL-DENSIFICATION MODEL (Philip et al. 2000)......Page 166
GESSINGER MODEL FOR INTERMEDIATE-STAGE LIQUID-PHASE SINTERING (Gessinger et al. 1973)......Page 168
GRAIN-BOUNDARY FRACTION......Page 169
GRAIN-BOUNDARY WETTING......Page 170
GRAIN GROWTH......Page 172
GRAIN GROWTH IN LIQUID-PHASE SINTERING, DIFFUSION CONTROL AT HIGH SOLID CONTENTS (P. Lu and German 2001)......Page 173
GRAIN GROWTH IN LIQUID-PHASE SINTERING, DILUTE SOLIDS CONTENTS (Voorhees 1992)......Page 175
GRAIN GROWTH IN LIQUID-PHASE SINTERING, INTERFACIAL REACTION CONTROL (Kingery 1959)......Page 176
GRAIN-GROWTH MASTER CURVE (S. J. Park et al. 2006)......Page 177
GRAIN-GROWTH MASTER CURVE, INTERFACIAL REACTION CONTROL (Park et al. 2007)......Page 179
GRAIN PINNING BY PORES IN FINAL-STAGE SINTERING (Ring 1996)......Page 181
GRAIN SEPARATION DISTANCE IN LIQUID-PHASE SINTERING......Page 182
GRAIN-SHAPE ACCOMMODATION (Kipphut et al. 1988; Lee and Kang 2001)......Page 183
GRAIN-SIZE AFFECT ON COORDINATION NUMBER......Page 184
GRAIN-SIZE DISTRIBUTION FOR LIQUID-PHASE SINTERED MATERIALS (German 1996)......Page 185
GRAIN-SIZE DISTRIBUTION FOR SOLID-STATE SINTERED MATERIALS (Aboav and Langdon 1969)......Page 186
GRANULATION FORCE......Page 187
GREEN DENSITY DEPENDENCE ON COMPACTION PRESSURE (Jones 1960)......Page 188
GREEN DENSITY FROM REPEATED PRESSING (Fu et al. 2002)......Page 189
GREEN STRENGTH VARIATION WITH FLAWS (Cha et al. 2006)......Page 190
GROWTH......Page 191
HARDENABILITY FACTOR (Saritas et al. 2002)......Page 193
HARDNESS (Sherman and Brandon 2000)......Page 194
HARDNESS VARIATION WITH GRAIN SIZE IN CEMENTED CARBIDES (Luyckx 2000)......Page 195
HEAT TRANSFER IN SINTERED MATERIALS (Hsu 2005)......Page 196
HERRING SCALING LAW (Herring 1950)......Page 197
HETERODIFFUSION......Page 198
HOMOGENEITY......Page 199
HOMOGENEOUS NUCLEATION (Porter and Easterling 1981)......Page 200
HOMOGENIZATION IN SINTERING (Masterller et al. 1975)......Page 201
HOT PRESSING IN THE PRESENCE OF A LIQUID PHASE......Page 202
INERTIAL-FLOW EQUATION (Scheidegger 1960)......Page 203
INFILTRATION PRESSURE (Washburn 1921)......Page 204
INITIAL-STAGE LIQUID-PHASE SINTERING STRESS......Page 205
INITIAL-STAGE NECK GROWTH (German 1996)......Page 206
INITIAL-STAGE SHRINKAGE IN SINTERING (Kingery and Berg 1955)......Page 208
IN SITU SINTERING STRENGTH (Xu et al. 2002)......Page 209
INTERFACE-CONTROLLED GRAIN GROWTH (Kang 2005)......Page 210
INTERMEDIATE-STAGE LIQUID-PHASE SINTERING MODEL (Kingery 1959)......Page 211
INTERMEDIATE-STAGE PORE ELIMINATION (Coble 1961a)......Page 212
INTERMEDIATE-STAGE SINTERING-DENSITY MODEL (Beere 1976)......Page 214
INVERSE RULE OF MIXTURES......Page 215
JAR MILLING (Austin 1984)......Page 217
JET MIXING TIME (Revill 1985)......Page 218
KAWAKITA EQUATION (James 1983)......Page 219
KELVIN EQUATION (Keey 1992)......Page 220
KINGERY INTERMEDIATE-STAGE LIQUID-PHASE SINTERING MODEL......Page 221
KISSINGER METHOD (Aggarwal et al. 2007)......Page 222
KNOOP HARDNESS (Sherman and Brandon 2000)......Page 223
KUCZYNSKI NECK-GROWTH MODEL (Kuczynski 1949)......Page 224
LAPLACE EQUATION (Heady and Cahn 1970)......Page 227
LIFSCHWIZ, SLYOZOV, WAGNER MODEL (Voorhees 1992)......Page 228
LIMITING NECK SIZE......Page 229
LIMITING SIZE FOR SEDIMENTATION ANALYSIS (Bernhardt 1994)......Page 230
LIQUID AND SOLID COMPOSITIONS IN PREALLOY PARTICLE MELTING......Page 231
LIQUID DISTRIBUTION IN SUPERSOLIDUS LIQUID-PHASE SINTERING (German 1997)......Page 232
LIQUID EMBRITTLEMENT......Page 235
LIQUID VELOCITY IN ATOMIZATION (Jones 1960)......Page 236
LOG-NORMAL DISTRIBUTION (Aitchison and Brown 1963)......Page 237
LOG-NORMAL SLOPE PARAMETER......Page 238
LOW-SOLID-CONTENT GRAIN GROWTH......Page 239
LUBRICANT CONTENT......Page 240
MACROSCOPIC SINTERING MODEL CONSTITUTIVE EQUATIONS (Olevsky 1998)......Page 241
MAGNETIC COERCIVITY CORRELATION IN CEMENTED CARBIDES......Page 243
MASTER DECOMPOSITION CURVE (Enneti et al. 2006)......Page 244
MASTER SINTERING CURVE (Su and Johnson 1996)......Page 245
MAXIMUM DENSITY IN PRESSURE-ASSISTED SINTERING......Page 246
MAXIMUM GRAIN SIZE IN SINTERING (Olgaard and Evans 1986)......Page 247
MEAN CAPILLARY PRESSURE......Page 248
MEAN COMPACTION PRESSURE (Jones 1960)......Page 249
MEAN FREE PATH, SINTERING ATMOSPHERE (Johns et al. 2007)......Page 250
MEAN PARTICLE SIZE (Bernhardt 1994; Allen 1997)......Page 251
MELT PENETRATION OF GRAIN BOUNDARIES (Aksay et al. 1974)......Page 252
MICROMECHANICAL MODEL FOR POWDER COMPACT (Olevsky et al. 2005)......Page 254
MICROSTRUCTURE HOMOGENEITY......Page 255
MIGRATION OF PARTICLES (Kainuma et al. 2003)......Page 256
MIXED-POWDER SEGREGATION (Harnby 1985a)......Page 257
MIXED-POWDER SWELLING DURING SINTERING......Page 259
MIXTURE THEORETICAL DENSITY......Page 260
MULTIPLE-MECHANISM SINTERING......Page 261
MULTIPLE-STAGE MODEL OF SINTERING......Page 262
NABARRO–HERRING CREEP-CONTROLLED PRESSURE-ASSISTED DENSIFICATION (Swinkels et al. 1983)......Page 263
NANOPARTICLE AGGLOMERATION (Tsantilis et al. 2001)......Page 264
NANOPARTICLE MELTING-POINT DEPRESSION (Buffat and Borel 1976; Lewis et al. 1997)......Page 265
NANOSCALE PARTICLE-AGGLOMERATE SPHEROIDIZATION (Hawa and Zachariah 2006)......Page 266
NECK-CURVATURE STRESS (Gessinger et al. 1968; Schatt et al. 1983)......Page 267
NECK GROWTH EARLY IN LIQUID-PHASE SINTERING (Courtney 1977a; German 1996)......Page 268
NECK GROWTH LIMITED BY GRAIN GROWTH (Readey 1990)......Page 269
NECK-SIZE RATIO DEPENDENCE ON SINTERED DENSITY......Page 270
NEWTONIAN FLOW (Tanner and Walters 1998)......Page 271
NUCLEATION RATE (Hirth 1978; Turnbull 1986)......Page 272
NUMBER OF PARTICLES IN AGGLOMERATES......Page 273
NUMBER OF PARTICLES PER UNIT WEIGHT......Page 274
OPTIMAL MIXER ROTATIONAL SPEED (Harnby 1985b)......Page 275
OSPREY PROCESS......Page 276
OXIDE REDUCTION......Page 277
PACKING DENSITY FOR LOG-NORMAL PARTICLES (Sohn and Moreland 1968; Dexter and Tanner 1972)......Page 279
PARTICLE DIFFUSION IN MIXING (Bridgwater 1994)......Page 280
PARTICLE PACKING (Yu et al. 1997)......Page 281
PARTICLE-SHAPE INDEX (Keey 1992; Bernhardt 1994)......Page 282
PARTICLE SIZE......Page 283
PARTICLE-SIZE EFFECT ON INITIAL-STAGE SINTERING......Page 284
PARTICLE-SIZE MEASUREMENT ERROR (Allen 1998)......Page 285
PENDULAR-BOND CAPILLARY FORCE......Page 286
PERCOLATION IN SEMISOLID PARTICLES......Page 287
PERIMETER-BASED PARTICLE SIZE......Page 288
PHASE TRANSFORMATION......Page 289
PLASTIC FLOW IN HOT COMPACTION (Swinkels et al. 1983; Artz et al. 1983)......Page 290
PLASTIC WORKING......Page 291
POISSON’S RATIO (Haynes 1981)......Page 292
PORE ATTACHMENT TO GRAIN BOUNDARIES (Patterson et al. 1990)......Page 293
PORE FILLING IN LIQUID-PHASE SINTERING (Kang et al. 1984)......Page 294
PORE MOBILITY DURING SINTERING (Kang 2005)......Page 296
PORE SEPARATION FROM GRAIN BOUNDARIES......Page 298
PORE SIZE IN FINAL STAGE SINTERING......Page 299
PORE SIZE IN VISCOUS-FLOW FINAL-STAGE SINTERING......Page 300
POROSITY EFFECT ON ELASTIC BEHAVIOR (Green 1998)......Page 301
POWDER-FORGING HEIGHT STRAIN AND DENSIFICATION......Page 302
POWER-LAW CREEP (Artz et al. 1983; Helle et al. 1985)......Page 303
PRESSURE-ASSISTED LIQUID-PHASE SINTERING (Kingery et al. 1963)......Page 304
PRESSURE-ASSISTED SINTERING SEMISOLID SYSTEM......Page 305
PRESSURE EFFECT ON FINAL-STAGE SINTERING BY VISCOUS FLOW......Page 306
PRESSURE-GOVERNING EQUATION IN POWDER-INJECTION MOLDING (Kwon and Ahn 1995)......Page 307
PRESSURE-GOVERNING EQUATION FOR POWDER INJECTION MOLDING WITH SLIP LAYER (Kwon and Ahn 1995)......Page 309
PRESSURE-GOVERNING EQUATION IN 2.5 DIMENSIONS FOR POWDER INJECTION MOLDING WITH SLIP VELOCITY (Kwon and Ahn 1995)......Page 310
PROOF TESTING......Page 312
PYCNOMETER DENSITY......Page 313
QUASI-3-DIMENSIONAL PRESSURE-GOVERNING EQUATION FOR POWDER INJECTION MOLDING WITH SLIP-VELOCITY MODEL......Page 315
RADIANT HEATING (Chung 1983)......Page 317
RALEIGH INSTABILITY......Page 318
RANDOM PACKING DENSITY (Scott 1960; McGeary 1961)......Page 319
RANDOM PACKING RADIAL-DISTRIBUTION FUNCTION (Mason 1968)......Page 320
REACTIVE SYNTHESIS (Frade and Cable 1992)......Page 321
REARRANGEMENT KINETICS IN LIQUID-PHASE SINTERING (Huppmann and Riegger 1975)......Page 322
REDUCTION IN AREA......Page 323
REYNOLDS NUMBER IN POROUS FLOW (Carman 1938)......Page 324
RHEOLOGICAL MODEL FOR LIQUID-PHASE SINTERING......Page 325
ROCKWELL HARDNESS......Page 326
ROSIN–RAMMLER DISTRIBUTION (Hogg 2003)......Page 328
SCHERRER FORMULA (Langford and Wilson 1978)......Page 329
SECOND-STAGE SINTERING PORE ELIMINATION......Page 330
SEGREGATION TO GRAIN BOUNDARIES DURING SINTERING (Kang 2005)......Page 331
SELF-PROPAGATING HIGH-TEMPERATURE SYNTHESIS (Munir and Anselmi-Tamburini 2000)......Page 332
SHEAR MODULUS......Page 333
SHRINKAGE FACTOR IN INJECTION-MOLDING TOOL DESIGN......Page 334
SHRINKAGE IN INTERMEDIATE-STAGE LIQUID-PHASE SINTERING......Page 335
SIEVE PROGRESSION (Bernhardt 1994)......Page 336
SINTERED STRENGTH (Haynes 1981)......Page 337
SINTERING METRICS......Page 338
SINTERING SHRINKAGE (GENERIC FORM) (Mackenzie and Shuttleworth 1949; Coble 1961b; Olevsky 1998)......Page 339
SINTERING STRESS, BULK......Page 340
SINTERING STRESS IN FINAL-STAGE SINTERING FOR SMALL GRAINS AND ROUNDED PORES......Page 341
SINTERING STRESS IN FINAL-STAGE SINTERING FOR SPHERICAL PORES INSIDE GRAINS......Page 342
SINTERING SWELLING WITH MIXED POWDERS......Page 343
SLIP CHARACTERIZATION OF POWDER–BINDER MIXTURES (Kwon and Ahn 1995)......Page 344
SLOPE OF THE LOG-NORMAL DISTRIBUTION......Page 347
SOLIDS LOADING (J. R. G. Evans 1993)......Page 348
SOLUBILITY DEPENDENCE ON PARTICLE SIZE......Page 349
SOLUTION-REPRECIPITATION-INDUCED SHRINKAGE IN LIQUID-PHASE SINTERING (Kingery 1959)......Page 350
SPARK SINTERING......Page 352
SPHERICAL PORE PRESSURE......Page 353
SPHEROIDIZATION TIME (Lawley 1992)......Page 354
SPOUTING VELOCITY (Epstein and Grace 1984)......Page 355
SPRAY DEPOSITION (Delplanque et al. 2007)......Page 356
SPREADING......Page 357
STOKES–EINSTEIN EQUATION (Einstein 1956)......Page 358
STOKES’ LAW (Bernhardt 1994; Allen 1997)......Page 359
STOKES’ LAW PARTICLE-SIZE ANALYSIS (Hogg 2003)......Page 360
STRAIN HARDENING (Straffelini 2005)......Page 361
STRENGTH-EVOLUTION MODEL (Xu et al. 2002)......Page 363
STRESS CONCENTRATION AT A PORE (Green 1998)......Page 365
SUPERPLASTIC FORMING (Kear and Mukherjee 2007)......Page 366
SUPERSOLIDUS LIQUID-PHASE SINTERING SHRINKAGE RATE (German 1997)......Page 367
SURFACE-AREA REDUCTION DURING LIQUID-PHASE SINTERING (Courtney 1977b)......Page 369
SURFACE-AREA REDUCTION KINETICS......Page 370
SURFACE CURVATURE–DRIVEN MASS FLOW IN SINTERING (German 1996)......Page 371
SURFACE DIFFUSION–CONTROLLED NECK GROWTH (Djohari and Derby 2003)......Page 373
SURFACE-ENERGY VARIATION WITH DROPLET SIZE (Tolman 1949)......Page 374
SUSPENSION VISCOSITY......Page 375
SWELLING......Page 376
TEMPERATURE ADJUSTMENTS FOR EQUIVALENT SINTERING......Page 379
TETRAKAIDECAHEDRON (Smith 1964)......Page 380
THERMAL CONDUCTIVITY DEPENDENCE ON POROSITY (Luikov et al. 1968; Koh and Fortini 1973)......Page 382
THERMAL DEBINDING......Page 383
THERMAL EXPANSION COEFFICIENT (Tuchinskii 1983)......Page 384
THETA TEST (Morrell 1989)......Page 385
THIRD-STAGE SINTERING DENSIFICATION......Page 386
TOOL EXPANSION FACTOR......Page 387
TRANSIENT LIQUID-PHASE SINTERING......Page 388
TRANSVERSE-RUPTURE STRENGTH (Sherman and Brandon 2000)......Page 389
TRAPPED-GAS PORE STABILIZATION (Markworth 1972)......Page 391
TWO-PARTICLE VISCOUS-FLOW SINTERING (Ross et al. 1981; Ristic and Milosevic 2006)......Page 392
ULTRASONIC VELOCITY (Mukhopadhyay and Phani 2000)......Page 395
VACANCY CONCENTRATION DEPENDENCE ON SURFACE CURVATURE (Kuczynski 1949)......Page 397
VACANCY DIFFUSION (Shewmon 1989)......Page 398
VACUUM DISTILLATION RATE (Jones 1960)......Page 399
VACUUM THERMAL DEBINDING (German and Bose 1997)......Page 400
VAPOR MEAN FREE PATH (Neale and Nader 1973)......Page 401
VAPOR PRESSURE (Silbey et al. 2005)......Page 403
VICKERS HARDNESS NUMBER (Meyers 1985)......Page 404
VISCOELASTIC MODEL FOR POWDER–POLYMER MIXTURES (Green 1998)......Page 405
VISCOELASTIC RESPONSE (Rasteiro et al. 2007)......Page 406
VISCOSITY (Jinescu 1974)......Page 408
VISCOSITY DURING SINTERING (Mohanram et al. 2004)......Page 409
VISCOSITY MODEL FOR INJECTION-MOLDING FEEDSTOCK (Najmi and Lee 1991)......Page 411
VISCOSITY OF SEMISOLID SYSTEMS (Flemings 1991)......Page 412
VISCOSITY VARIATION WITH HYDROSTATIC PRESSURE......Page 413
VISCOUS FLOW OF A LIQUID DROPLET (Clift et al. 1978)......Page 414
VISCOUS FLOW SINTERING (Frenkel 1945)......Page 416
VISCOUS FLOW SINTERING OF GLASS......Page 417
VOIGT MODEL......Page 418
VOLUME DIFFUSION–CONTROLLED CREEP DENSIFICATION......Page 419
WATER-ATOMIZATION PARTICLE SIZE......Page 421
WEIBULL DISTRIBUTION (Weibull 1951; Morrell 1989; Green 1998)......Page 422
WETTING ANGLE (Liu and German 1996)......Page 424
WORK OF SINTERING......Page 425
X-RAY LINE BROADENING......Page 427
YIELD STRENGTH OF PARTICLE–POLYMER FEEDSTOCK (D. M. Liu and Tseng 1998; Flatt and Bowen 2007)......Page 429
YOUNG’S MODULUS......Page 430
ZENER RELATION (Harun et al. 2006)......Page 431
ZETA POTENTIAL (Fuerstenau and Somesundaran 2003)......Page 433
Derived Units......Page 435
Important Constants......Page 436
Temperature Conversion......Page 437
Energy Conversions......Page 438
Stress-intensity Conversion......Page 439
Computer Conversions......Page 440
References......Page 441
Back Page......Page 452