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Bird R.B., Curtiss C.F., Armstrong R.C. — Dynamics of Polymeric Liquids. Vol. 2. Kinetic Theory
Bird R.B., Curtiss C.F., Armstrong R.C. — Dynamics of Polymeric Liquids. Vol. 2. Kinetic Theory



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Название: Dynamics of Polymeric Liquids. Vol. 2. Kinetic Theory

Авторы: Bird R.B., Curtiss C.F., Armstrong R.C.

Аннотация:

This two-volume work is detailed enough to serve as a text and comprehensive enough to stand as a reference. Volume 1, Fluid Mechanics, summarizes the key experiments that show how polymeric fluids differ from structurally simple fluids, then presents, in rough historical order, various methods for solving polymer fluid dynamics problems. Volume 2, Kinetic Theory, uses molecular models and the methods of statistical mechanics to obtain relations between bulk flow behavior and polymer structure. Includes end-of-chapter problems and extensive appendixes.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 1987

Количество страниц: 437

Добавлена в каталог: 20.09.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Metric coefficients, covariant      (1)481
Metric coefficients, table of      (1)603
Metric matrix      (2)33
Metric matrix, bead-rod-spring models      (2)184 248
Metric matrix, differential relations      (2)292
Metric matrix, elastic dumbbells      (2)47
Metric matrix, inverse of      (2)34
Metric matrix, Kramers chain      (2)35 217
Metric matrix, modified for hydrodynamic interaction      (2)187 288 294 300
Metric matrix, modified for melts      (2)312
Metric matrix, multibead-rod      (2)189
Metric matrix, rigid bead-rod-model      (2)234
Metric matrix, Rouse chain      (2)36
Metric matrix, two-needle model      (2)253
Mild-curvature approximation      (2)310 318 324
Mixtures      see also "Polydispersity"
Mixtures, bead-rod-spring models for      (2)181
Mixtures, kinetic theory results for      (2)193 198
Mixtures, phase-space theory for      (2)245
Mixtures, rigid dumbbell model      (2)148
Mobility factor      (1)353
Mobility tensors      (2)185 188 286 305
Mobility tensors, multibead-rod      (2)195
Models for polymer molecules      (2)3 247
Models for polymer molecules, bead-rod models      (2)229
Models for polymer molecules, bead-rod-spring models      (2)181
Models for polymer molecules, bead-spring chain      (2)18 151
Models for polymer molecules, elastic dumbbell      (2)20 55
Models for polymer molecules, elastic rhombus      (2)209 215
Models for polymer molecules, freely jointed chain      (2)10 217 309
Models for polymer molecules, freely rotating chain      (2)10 222
Models for polymer molecules, Gaussian chain      (2)16 355
Models for polymer molecules, geometry of      (2)22 153 167 186
Models for polymer molecules, multibead-rod      (2)26 113
Models for polymer molecules, multirod-rod      (2)300
Models for polymer molecules, rigid dumbbell      (2)20 111
Models for polymer molecules, second-order fluid constants      (2)208
Models for polymer molecules, three-bead-two-rod model      (2)190
Models for polymer molecules, two-needle model      (2)252
Modified pressure      (1)12 14
Modulus of elasticity      (1)257 (2)365 389
Molecular weight averages      (1)49 59 144 (2)337
Molecular weight dependence      (1)143
Molecular weight distribution      (2)4
Molecular weight distribution, logarithmic-normal      (2)338
Moment of inertia      (2)233
Moment of inertia, generalized      (2)184 190 225
Moment of inertia, tensor      (1)570
Momentum flux      (1)6
Momentum flux tensor      see "Stress tensor"
Momentum space average      (2)42
Momentum space distribution function      see "Velocity space distribution function"
Monodisperse      (1)57
Mooney equation      (2)365 386
Multibead-rod model      (2)26 113
Multibead-rod model, configurational quantities      (2)187
Multibead-rod model, diffusion equation      (2)195
Multibead-rod model, dynamic moduli      (2)232
Multibead-rod model, elongational viscosity      (2)147
Multibead-rod model, second-order fluid constants      (2)211
Multibead-rod model, stress tensor      (2)117 136 202
Multibead-rod model, third-order fluid constants      (1)302
Multirod-rod model      (2)300 302
Nabla operator      see "Del operator"
Nahme — Griffith number      (1)207 225
Natural boundary conditions      (1)194
Nearly Hookean dumbbell      (1)410 (2)90
Neo — Hookean solid      (2)365
Nernst — Einstein equation      (2)95 140 174 299 311
Network rupture model      (1)472
Network structure      (1)56
Network theories, constitutive equations      (2)364
Network theories, convection equation for segments      (2)357
Network theories, equation of continuity      (2)358
Network theories, Lodge network model      (1)433 (2)368
Network theories, modeling of networks      (2)354
Network theories, stress tensor      (2)362
Network theories, with non-affine motion      (2)273
Newton's law of viscosity      (1)7 10 256
Newtonian flow problems      (1)12—53 279 537
Newtonian fluids, equation of motion for      (1)613
Non-Newtonian viscosity      (1)60 see "Generalized "Viscometric
Non-Newtonian viscosity from capillary viscometer      (1)528
Non-Newtonian viscosity from cone-and-plate viscometer      (1)111 522
Non-Newtonian viscosity, Bestul — Belcher equation      (1)244
Non-Newtonian viscosity, Bingham model      (1)227
Non-Newtonian viscosity, Carreau — Yasuda model      (1)171
Non-Newtonian viscosity, Casson equation      (1)227 243
Non-Newtonian viscosity, concentration dependence      (1)144
Non-Newtonian viscosity, dimensionless plot for      (1)146
Non-Newtonian viscosity, Ellis model      (1)210 227
Non-Newtonian viscosity, empiricisms for      (1)169—175 227—233
Non-Newtonian viscosity, Eyring model      (1)227
Non-Newtonian viscosity, Herschel — Bulkley equation      (1)227
Non-Newtonian viscosity, sample experimental data      (1)105—107
Non-Newtonian viscosity, temperature dependence of      (1)139 244
Non-Newtonian viscosity, truncated power law      (1)227
Nonisothermal flow problems      (1)205—227
Nonisothermal flow problems, equations of change for      (1)206
Nonisothermal flow problems, role of axial conduction      (1)251
Nonisothermal flow problems, tube flow      (1)210 216 218
Nonlinear viscoelasticity      see also "Constitutive equations"
Nonlinear viscoelasticity, kinematic tensors used in      (1)294 427
Nonorthogonal coordinates      (1)598—606
Normal coordinates      (2)156
Normal stresses and flow phenomena      (1)62
Normal stresses in Newtonian fluids      (1)12
Normal stresses in second-order fluids      (1)307 309
Normal-stress coefficients      see also "Criminale — Ericksen — Filbey (“CEF”) equation" "Material "Viscometric
Normal-stress coefficients from cone-and-plate viscometer      (1)111 523
Normal-stress coefficients from parallel-disk instrument      (1)526
Normal-stress coefficients in polydisperse melts      (2)338
Normal-stress coefficients, bead-spring-rod models      (2)205 238
Normal-stress coefficients, definition      (1)105 (2)399
Normal-stress coefficients, Kirkwood — Riseman chain      (2)228
Normal-stress coefficients, molecular weight dependence in melt      (1)148 (2)341 371
Normal-stress coefficients, sample experimental data      (1)108—112
Normal-stress coefficients, stress relaxation and      (1)417
Normal-stress coefficients, temperature dependence      (1)142
Normal-stress differences      (1)62
Normal-stress differences in shear flow      (1)104
Normal-stress differences in shearfree flows      (1)104
Normal-stress differences in tangential annular flow      (1)333
Normal-stress differences, index convention for      (1)62
Normal-stress differences, rod-climbing and      (1)64
Normal-stress differences, sign of      (1)62
Normal-stress differences, stress growth      (1)118
Normal-stress differences, stress relaxation      (1)122
Normal-stress differences, tilted-trough experiment and      (1)65
Normal-stress ratio      (1)109
Normal-stress ratio for melts      (2)335
Normal-stress ratio, osculating multibead-rod model and      (2)138
Normal-stress ratio, rod-climbing and      (2)335
Nusselt number      (1)212 213 215 217
Oldroyd 4-constant model      (1)354 356—360 423
Oldroyd 6-constant model      (2)398
Oldroyd 6-constant model, Hookean dumbbells and      (2)100
Oldroyd 6-constant model, memory integral expansion and      (1)502
Oldroyd 6-constant model, retarded-motion constants for      (1)303 416
Oldroyd 6-constant model, rigid dumbbells and      (2)144
Oldroyd 8-constant model      (1)352 354 415 416 420 (2)398
Oldroyd 8-constant model for shear and shearfree flows      (1)625 626
Oldroyd 8-constant model, Phan-Thien and Tanner model and      (2)385
Oldroyd's admissibility criteria      (1)480 497
Oldroyd's converted derivatives      see "Converted derivatives"
Oldroyd's nth rate-of-strain tensors      see "Rate-of-strain tensors"
Oldroyd-A model      (1)498
Oldroyd-B model      see "Converted Jeffreys model"
Order of magnitude analysis      (1)16
Ordered fluids      see "Retarded motion expansion"
Orientation vector      (2)405
Orientation vector, operator $\partial / \partial u$      (2)114 406
Orientation vector, time derivative of      (2)114
Orientational distribution function      see "Configurational distribution function"
Orthogonal matrix      (2)157
Oscillating cylinder      (1)71
Oscillatory motion in annulus      (1)279
Oscillatory motion in semi-infinite medium      (1)275
Oscillatory motion in slit      (1)113
Oscillatory motion in slit, converted Jeffreys model      (1)347 414
Oscillatory motion in slit, linear viscoelastic fluid      (1)264
Oscillatory motion in slit, Newtonian fluid      (1)52
Oscillatory motion in slit, viscous heating in      (1)53
Oscillatory motion in tubes      (1)187 277
Oseen — Burgers tensor      (2)93 133 164 195 213
Oseen — Burgers tensor, derivation of      (1)28
Ostwald — de Waele model      see "Power-law model"
Papanastasiou — Scriven — Macosko model      (1)441
Parallel-disk viscometer, centripetal pumping      (1)551
Parallel-disk viscometer, converted derivative of stress tensor      (1)343
Parallel-disk viscometer, converted Jeffreys fluid      (1)400
Parallel-disk viscometer, inertial effects in      (1)549
Parallel-disk viscometer, Newtonian fluid      (1)37
Parallel-disk viscometer, second-order fluid      (1)335
Parallel-disk viscometer, viscometric functions from      (1)518 520 524
Parallel-plate plastometer      see "Squeezing flow"
Parallel-plate viscometer      (1)521
Particle label      (1)484
Particle motion in fluids      (1)85
Partition function      (2)15
Pawlowski's variational principle      (1)201
Pearl-necklace model      see "Kramers model"
Peclet number      (1)12 207
Permutation symbol      (1)559 600 (2)183
Perturbation method      (1)32 316 540
Phan-Thien and Tanner model      (1)411 467 (2)373 380
Phase shift in oscillatory testing      (1)115
Phase-space distribution function      (2)38 255
Phase-space distribution function, elastic dumbbells      (2)56
Phase-space distribution function, rigid dumbbells      (2)112
Phase-space kinetic theory      (2)245 279 307
Phillips model      (1)441
Pipe flow      see "Tube flow"
Planar elongational flow      (1)101 437 471
Plane flow      (1)22 24
Plateau modulus      (1)147
Poly-$\alpha$-methylstyrene      (1)120 (2)83 171 343
Poly-$\gamma$-benzyl-L-glutamate      (2)124 143
Polyacrylamide      (1)58 61 63 70 71 76 77 82 84 86 87 106 108 118 121 125 126 163 172 236 380 465 537 548 (2)91
Polybutadiene      (1)117 145
Polydimethylsiloxane      (1)58 145 208
Polydispersity      (1)59 (2)4
Polydispersity, melt kinetic theory and      (2)337
Polyethylene      (1)57 58 60 79 105 112 117 120 127 128 131 135 139 141 145 173 208 209 274 277 446 (2)6 8 347 348 382
Polyethylene glycol      (1)145
Polyethylene terephthalate      (1)58
Polyethyleneoxide      (1)58 82 88 90 110 175 (2)5 91
Polyhexamethylene adipamide      (1)58
Polyisobutylene      (1)58 65 80 81 106 108 118 121 124 125 126 136 145 172 191 284 413 446 546 (2)91
Polyisoprene      (1)58 117 236
Polymer, additives      (1)87
Polymer, structure      (1)56 (2)4
Polymethylmethacrylate      (1)72 145 208
Polypeptide      (1)56
Polypropylene      (1)61 208 236 446
polystyrene      (1)58 107 117 127 133 134 137 141 143 145 146 148 149 151 152 172 173 174 208 446 (2)7 83 84 171 175 176 342 345 348
Polyvinyl acetate      (1)145
Polyvinylchloride      (1)58 208 209
potential energy      (2)37 250 265 281
Potential energy, elastic dumbbells      (2)62
potential flow      (2)57
Potential flow, bead-rod-spring models      (2)195
Potential flow, elastic dumbbells      (2)62 102
Potential flow, rigid dumbbells      (2)116 143
Potential flow, Rouse model      (2)154
Potential function      (1)438 469
Powell — Eyring model      (1)228
Power-law model      (1)172
Power-law model, axial annular flow      (1)176 181 202 238
Power-law model, axial eccentric annular flow      (1)204
Power-law model, coat-hangar die      (1)245
Power-law model, cone-and-plate viscometer      (1)223
Power-law model, distributor design      (1)240
Power-law model, falling cylinder viscometer      (1)248
Power-law model, flow of immiscible fluids      (1)242
Power-law model, helical annular flow      (1)184
Power-law model, nonisothermal flow      (1)210 216 217 223
Power-law model, pulsatile pressure drop      (1)187
Power-law model, radial flow between disks      (1)176 240
Power-law model, Rayleigh problem      (1)248
Power-law model, shortcomings of      (1)175
Power-law model, slit flow      (1)176
Power-law model, square tube      (1)251
Power-law model, squeezing flow      (1)176 189
Power-law model, tangential annular flow      (1)176 239
Power-law model, tapered tube      (1)178 241
Power-law model, temperature dependence of constants      (1)210
Power-law model, tube flow      (1)175 187 210 216 218 247
Power-law model, variational method      (1)202 204
Power-law model, with slip at wall      (1)247
Power-law model, with third invariant      (1)250
Power-law viscosity      (1)107
Power-law viscosity from rigid dumbbell model      (2)123 140
Prandtl number      (1)90
Pressure      (1)10
Pressure tensor      see "Stress tensor"
Pressure transducers, hole-pressure effect and      (1)67
Pressure, modified      (1)12 14
Principal axes of rate of strain      (1)162
Principal elongation ratios      (1)430 623
Proudman — Pearson equation      (1)28
Pseudoplastic fluids      (1)60 173
Pulsatile tube flow      (1)187 234 277 371
Pure shear      (2)364 366
Purely viscous fluids      see "Generalized Newtonian fluid"
Quasi-steady-state approximation      (1)13 20 176 189
Quasilinear differential models      (1)345
Quasilinear integral models      (1)431
Quelleffekt      (1)63
Radial flow between disks      (1)165
Radial flow between disks, convected Maxwell model      (1)418
Radial flow between disks, power-law model      (1)176 240
Radial flow between disks, second-order fluid      (1)318
Radial flow between disks, third-order fluid      (1)330
Radius of gyration      (2)27
Radius of gyration, effect of ring closure      (2)50
Random walk distribution      (2)12
Random walk distribution and probability of end-to-end vector      (2)49
Random walk distribution, deviations from      (2)40 47
Random walk distribution, equilibrium averages      (2)28
Rate-of-deformation tensor      see "Rate-of-strain tensor"
Rate-of-strain tensor      (1)622 (2)64
Rate-of-strain tensor in shear flow      (1)297 622
Rate-of-strain tensor in shearfree flow      (1)622
Rate-of-strain tensor, components in curvilinear coordinates      (1)614
Rate-of-strain tensor, definition of      (1)11 256 296 (2)394
Rate-of-strain tensor, higher-order      (1)296 491 622 (2)396
Rate-of-strain tensor, invariants of      (1)170
Rate-of-strain tensor, relations among      (1)492 504 507
Rate-of-strain tensor, transformation rules for      (1)488
Rayleigh problem, convected Jeffreys model      (1)369
Rayleigh problem, Newtonian fluid      (1)38
Rayleigh problem, power-law fluid      (1)248
Rayleigh's equation      (2)50
Reciprocal base vectors      (1)597 599 602
Recoil in circular tube      (1)78
Recoil, comparison with data      (1)130
Recoil, constrained      (1)113 129
Recoil, extrudate swell and      (1)73
Recoil, linear viscoelastic fluid      (1)269 289
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