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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
Acierno — LaMantia — Marrucci — Titomanlio equation      (1)411
Acoustic streaming      (1)71
Admissibility      (1)293 482 497
Affine motion      (2)355
Affine motion, deviations from      (2)373
Aluminum soap solutions      (1)79 106 108 118 121 125 172
Angular momentum equation of change      (1)8
Annular flow, axial      see also "Eccentric annuli axial
Annular flow, axial, Bingham fluid      (1)249
Annular flow, axial, Ellis model      (1)231
Annular flow, axial, Newtonian fluid      (1)44
Annular flow, axial, power-law model      (1)176 181 202 238
Annular flow, axial, second normal-stress difference and      (1)519
Annular flow, axial, viscoelastic fluid      (1)98
Annular flow, helical      (1)160
Annular flow, helical, power-law model      (1)184
Annular flow, radial      (1)41
Annular flow, tangential      (1)160 333 see axial
Annular flow, tangential, Bingham fluid      (1)228
Annular flow, tangential, Newtonian fluid      (1)35
Annular flow, tangential, normal stress effects      (1)96
Annular flow, tangential, oscillatory      (1)279
Annular flow, tangential, power-law model      (1)176 239
Arrhenius expression      (1)140
Associative law      (1)556
Attenuation of velocity wave      (1)276
Average molecular weights      (1)49 59 144 (2)337
Average number of beads      (2)273
Average value      (2)12 41 58 113
Average value in momentum space      (2)42 263
Average value in network theories      (2)359
Average value in phase space      (2)256
Average value of kinetic energy      (2)43
Average value of reciprocal of interbead distance      (2)46
Average value over time      (1)187 375
Average value over unit sphere      (2)411
Average value, over cross section      (1)14
Average value, time rate of change of      (2)62 116 154 256 359
Axisymmetric flow      (1)25
Base vectors      (2)33 406
Base vectors in nonorthogonal coordinates      (1)598
Base vectors in spherical coordinates      (1)597
Base vectors, bead-rod-spring models      (2)185 186 248
Base vectors, differentiation of      (1)602
Base vectors, Kramers chain      (2)35 217
Base vectors, modified reciprocal      (2)188
Base vectors, multibead-rod model      (2)189
Base vectors, multirod-rod model      (2)300
Base vectors, reciprocal      (1)597 599
Base vectors, Rouse chain      (2)36
Base vectors, special relation for system with no constraints      (2)51
Base vectors, transformation rules for      (1)605
Base vectors, two-needle model      (2)253
Bead-rod models      (2)117 136 222 229
Bead-rod-spring models, diffusion equation      (2)193
Bead-rod-spring models, generalized forces      (2)192
Bead-rod-spring models, geometry of      (2)182
Bead-rod-spring models, high-frequency dynamic viscosity      (2)240
Bead-rod-spring models, hydrodynamic interaction      (2)185
Bead-rod-spring models, index convention for      (2)249
Bead-rod-spring models, second-order fluid constants      (2)204 238
Bead-rod-spring models, stress tensor      (2)198 283
Bead-rod-spring models, thermodynamic quantities      (2)241
Bead-rod-spring models, third-order fluid constants for      (1)302
Bead-rod-spring models, translational diffusivity      (2)295
Bead-spring chain      (2)18
Bead-spring chain, diffusion equation      (2)152-155
Bead-spring chain, stress tensor      (2)155
Bead-spring chain, translational diffusivity      (2)174 see "Zimm
Bead-string model      (2)209
Bestul — Belcher equation      (1)244
Biaxial stretching flow      (1)101 437 533
Bingham fluid      (1)61 228 229
Bingham fluid, axial annular flow      (1)249
Bingham fluid, flow around sphere      (1)235
Bingham fluid, tangential annular flow      (1)228
Bingham fluid, tube flow      (1)244
Bipolar coordinates      (1)312 595
Bipolar coordinates, del operations in      (1)592
Bird — Carreau model      (1)467
Birefringence      (1)509
Bitumen      (1)74
BKZ model      see "K-BKZ model"
Bogue — Chen model      (1)467
Boltzmann's superposition principle      (1)263
Boundary-layer flows      (1)235
Branched polymers      (1)56
Brinkman number      (1)207
Brownian force      see also "Forces in kinetic theory"
Brownian force for systems with no constraints      (2)293
Brownian force in melts      (2)314
Brownian force on polymer molecule      (2)292
Brownian force, anisotropic      (2)96 310
Brownian force, approximations for      (2)291 314
Brownian force, equilibration in momentum space and      (2)292
Bubble inflation      (1)533
Bubble, converging flow field and      (1)76
Bubble, deforming      (1)31 325
Bubble, translating, Newtonian flow around      (1)29
Bubble, translating, second-order fluid      (1)318 321
Bubble, translating, shape of      (1)83
Bubbles, Uebler effect      (1)74
Buckingham — Reiner equation      (1)229
Calculus of variations      (1)192—205
Capillary number      (1)31 324
Capillary viscometer      see "Tube flow"
Carboxymethylcellulose      (1)61 78 236 537 547
Carboxypolymetheylene      (1)61 208
Carreau — Yasuda model      (1)171
Cartesian tensor notation      (1)607
Casson equation      (1)227 243
Cauchy tensor      (1)427 see
Cayley — Hamilton theorem      (1)298 435
Cayley — Hamilton theorem, statement of      (1)569
CEF equation      see "Criminale — Ericksen — Filbey (“CEF”) equation"
Cellulose      (2)83
Center of mass      (2)32
Center of mass, motion of      (2)38 60 95 115 134 152 174 273 296
Center of resistance      (2)166
Center of resistance, motion of      (2)168 288 305
Center of resistance, weight tensors      (2)187 286
Centripetal pumping between parallel disks      (1)551
Chain constraint exponent      (2)311
Chain models      (2)9-19 see "Kramers "Rouse "Zimm
Chain models, generalized coordinates      (2)32
Chain models, geometry of      (2)22 153 167
Chain models, hydrodynamic interaction and      (2)164—175
Chain models, index conventions for      (2)33
Chain models, infinitely stiffened springs      (2)46
Chain models, second-order fluid constants      (2)208
Chain rule of partial differentiation      (1)579 (2)60 403
Christoffel symbols      (1)602 603
Circular tube      see "Tube flow"
Coat-hangar die      (1)245
Coaxial cylinders      see "Annular flow tangential"
Codeformational derivatives      see "Convected derivative"
Collocation method      (1)199
Commutative law      (1)556
complex modulus      (1)115 see
Complex modulus, plateau modulus      (1)147
Complex modulus, temperature dependence      (1)142
Complex quantities, complex spherical components      (2)413
Complex quantities, product rule for real parts of      (1) 188
Complex quantities, representation of oscillations      (1)116 163
Complex viscosity      see also "Material functions"
Complex viscosity, bead-rod-spring model      (2)240
Complex viscosity, concentration dependence of      (1)147
Complex viscosity, definition      (1)115 (2)399
Complex viscosity, from cone-and-plate instrument      (1)549
Complex viscosity, from eccentric rotating disk viscometer      (1)512 516
Complex viscosity, from torsional viscometer      (1)282
Complex viscosity, high-frequency expressions      (1)286
Complex viscosity, linear viscoelastic fluid      (1)265 287
Complex viscosity, melt kinetic theory and      (2)337
Complex viscosity, memory function and      (1)287
Complex viscosity, parallel-disk viscometer      (1)510
Complex viscosity, rigid dumbbell model      (1)286
Complex viscosity, sample experimental data      (1) 118
Complex viscosity, third-order fluid and      (1)329
computer simulations      (2)41
Concentration dependence      (1)143-150
Concentration, kinetic theory expression      (2)257
Concentric cylinder viscometer      see "Couette viscometer"
Cone-and-plate viscometer      (1)18 517
Cone-and-plate viscometer, complex viscosity from      (1)549
Cone-and-plate viscometer, inertial effects in      (1)549
Cone-and-plate viscometer, Newtonian fluid      (1)18 34
Cone-and-plate viscometer, power-law fluid      (1)223
Cone-and-plate viscometer, secondary flows in      (1)327
Cone-and-plate viscometer, sources of error      (1)523
Cone-and-plate viscometer, truncated      (1)520 551
Cone-and-plate viscometer, viscometric functions from      (1)110 518 521 548
Cone-and-plate viscometer, viscous heating in      (1)223 523
Configurational distribution function      (2) 12 262 272
Configurational distribution function in network theories      (2)356 371
Configurational distribution function, bead-rod models      (2)231
Configurational distribution function, change of coordinates      (2)40 49
Configurational distribution function, elastic dumbbells      (2)21 48 56
Configurational distribution function, equilibrium      (2)39
Configurational distribution function, FENE dumbbells      (2)77
Configurational distribution function, Hookean dumbbells      (2)72 101
Configurational distribution function, Kirkwood — Riseman chain      (2)226
Configurational distribution function, Kramers chain      (2)40
Configurational distribution function, pair      (2)263
Configurational distribution function, potential flow      (2)62
Configurational distribution function, random walk distribution      (2)12
Configurational distribution function, rigid dumbbells      (2)112 121 127
Configurational distribution function, Rouse chain      (2)41 161
Connector force      see also "Forces in kinetic theory"
Connector force, elastic dumbbells      (2)60 76
Connector vector      (2)23
Conservation laws in fluid dynamics      (1)3
Consistency index      (1)173
Constitutive equations      (1)10 see
Constitutive equations for melts      (2)333
Constitutive equations, Aciemo — LaMantia — Marrucei — Titomanlio equation      (1)411
Constitutive equations, chart showing interrelations among      (1)500
Constitutive equations, construction of admissible equations      (1)497
Constitutive equations, convected Jeffreys model      (1)345 (2)398
Constitutive equations, convected Maxwell model      (1)346 (2)398
Constitutive equations, Criminale — Ericksen — Filbey (“CEF”) equation      (1)503 (2)397
Constitutive equations, Curtiss — Bird      (1)440 (2)334
Constitutive equations, Doi — Edwards      (1)440 (2)334
Constitutive equations, elastic solid      (2)364
Constitutive equations, factorized K-BKZ model      (1)437 (2)398
Constitutive equations, FENE dumbbells      (1)410 (2)88—91 99
Constitutive equations, FENE-P      (1)410
Constitutive equations, Fraenkel dumbbells      (2) 104
Constitutive equations, general linear viscoelastic fluid      (1)263 (2)397
Constitutive equations, generalized Newtonian fluid      (1)169—253
Constitutive equations, Giesekus equation      (1)303 353 361 412 417 625 (2)97
Constitutive equations, Gordon — Schowalter equation      (1)355
Constitutive equations, Hand equation      (1)422
Constitutive equations, Hassager equation      (1)442
Constitutive equations, Hookean dumbbells      (2)71 100
Constitutive equations, Johnson — Segalman equation      (1)355
Constitutive equations, K-BKZ equation      (1)436 466 (2)398
Constitutive equations, Leal — Hinch equation      (1)422
Constitutive equations, Leonov model      (1)361
Constitutive equations, Lodge network model      (1)433 (2)368
Constitutive equations, Lodge rubberlike liquid      (1)431 (2)397
Constitutive equations, Marrucci, et al.      (1)411 (2)379
Constitutive equations, Maxwell model      (1)258
Constitutive equations, memory-integral expansion      (1)499 (2)397
Constitutive equations, nearly Hookean dumbbell model      (1)410
Constitutive equations, Newtonian fluid      (2)398
Constitutive equations, non-affine Lodge network model      (2)376
Constitutive equations, Oldroyd 4-constant model      (1)354 356 423
Constitutive equations, Oldroyd 6-constant model      (1)303 416 (2)100 144 398
Constitutive equations, Oldroyd 8-constant model      (1)352 353 415 420 625 (2)398
Constitutive equations, Oldroyd's admissibility criteria      (1)482 497
Constitutive equations, Papanastasiou — Scriven — Macosko equation      (1)441
Constitutive equations, Phan-Thien and Tanner      (1)411 (2)375 380
Constitutive equations, Phillips equation      (1)441
Constitutive equations, recommendations for use of      (1)468
Constitutive equations, Reiner — Rivlin equation      (1)504
Constitutive equations, retarded-motion expansion      (1)298 (2)397
Constitutive equations, Rouse chains      (1)440 (2)
Constitutive equations, second-order fluid      (2)398
Constitutive equations, Tanner model      (1)410
Constitutive equations, Tanner — Simmons equation      (1)440
Constitutive equations, Wagner model      (1)451 (2)383
Constitutive equations, White — Metzner model      (1)350 371 377 415
Constitutive equations, Zimm chains      (1)440 (2)169
Constrained recoil      see "Recoil"
Constraints, bead-rod-spring models      (2)182
Constraints, generalized coordinates and      (2)32
Constraints, generalized forces      (2)192
Constraints, Hamilton's equations and      (2)38
Constraints, rigid dumbbell model      (2)115 134
Constraints, stress tensor and      (2) 199 201 283
Continuity equation      see "Equation of continuity in kinetic theory"
Continuum mechanics      477—508
Continuum mechanics, summary of notation      (2)293
Contraction flow      (1)76
Contraction flow, Deborah number      (1)93
Contraction flow, torsional oscillations in      (1)95
Contravariant components      (1)597 600
Convected base vectors      (1)480 483
Convected base vectors, reciprocal      (1)485
Convected base vectors, time dependence of      (1)486
Convected coordinates      (1)480 483
Convected derivatives in kinetic theory      (2)63
Convected derivatives of product      (1)495
Convected derivatives of rate-of-strain tensor      (1)297 491 492
Convected derivatives of stress tensor      (1)324 622 623
Convected derivatives of unit tensor      (1)495
Convected derivatives, definition      (1)342 491 494 495 496 (2)395
Convected derivatives, higher order      (1)495
Convected derivatives, rules for      (1)495
Convected integration      (1)496
Convected Jeffreys model      (1)345—350 419 483 (2)398
Convected Jeffreys model, Hookean dumbbells and      (2)72 107
Convected Jeffreys model, integral form of      (1)432 496
Convected Jeffreys model, line sink      (1)458
Convected Jeffreys model, oscillatory flow      (1)414
Convected Jeffreys model, Rayleigh problem      (1)369
Convected Jeffreys model, spherical film inflation      (1)458
Convected Jeffreys model, torsional flow      (1)400
Convected Maxwell model      (1) 346 387 418 (2)398
Convected Maxwell model, generalized      (1)409 432
Convected Maxwell model, integral form of      (1)432
Convected Maxwell model, line sink      (1)458
Convected Maxwell model, modification of      (1)506
Convection equation in network theories      (2)357 391
Converging flow, use for studying elongational flow      (1)532
Coordinates, cylindrical      (1)578
Coordinates, nonorthogonal      (1)599
Coordinates, spherical      (1)578
Coordinates, transformation of      (1)605
Copolymers      (1)56
Corner, Newtonian flow near      (1)46
Corner, second-order fluid flow near      (1)339
Corotational derivative      (1)324 507 (2)395
Corotational Jeffreys model      (1)355
Couette flow, Newtonian fluid      (1)13
Couette flow, power-law fluid      (1)180 224
Couette flow, with viscous heating      (1)224
Couette viscometer      (1)519 548
Couette viscometer, end corrections for      (1)550
1 2 3 4 5 6
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