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| Bird R.B., Curtiss C.F., Armstrong R.C. — Dynamics of Polymeric Liquids. Vol. 2. Kinetic Theory |
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| Предметный указатель |
Recoil, Lodge rubberlike liquid and (2)388 390
Recoil, recoverable shear (1)130
Recoil, ultimate (1)130
Recoil, use of Laplace transform (1)289
Recoverable shear (1)130 153
Reduced variables (1)108 139 (2)
Reiner — Rivlin equation (1)504
Reiner — Riwlin equation (1)231
Relative (finite) strain tensors and infinitesimal strain tensor (1)489
Relative (finite) strain tensors in eccentric disk rheometer (1)513
Relative (finite) strain tensors in shear and shearfree flows (1)623
Relative (finite) strain tensors, components in curvilinear coordinates (1)616—619
Relative (finite) strain tensors, definition (1)427 (2)396
Relative viscosity (1)108
Relaxation modulus, bead-rod models (2)231 233
Relaxation modulus, Curtiss — Bird theory (2)337
Relaxation modulus, definition (1)263 (2)399
Relaxation modulus, determination from data (1)273
Relaxation modulus, Doi — Edwards theory and (1)287
Relaxation modulus, generalized Maxwell model (1)262
Relaxation modulus, Jeffreys model (1)262
Relaxation modulus, linear viscoelasticity and (2)397
Relaxation modulus, Lodge network model (2)370
Relaxation modulus, Maxwell model (1)260
Relaxation modulus, melt kinetic theory and (2)337
Relaxation modulus, rigid bead-rod models (2)237
Relaxation modulus, rigid dumbbell model (1)285 (2)131 237
Relaxation modulus, sample experimental data (1)127
Relaxation modulus, Segalman empiricism (1)285
Relaxation modulus, step-strain experiment and (1)124
Relaxation modulus, zero-shear-rate viscosity and (1)264
Relaxation spectrum (1)285
Relaxation time (1)259 261 442 see
Renardy condition (1)440
Reptation (1)146 (2)291 310 315
Reptation coefficient (2)316 322
Retardation time (1)261
Retarded motion expansion (1)295—339 (2)397
Retarded motion expansion for melts (2)335
Retarded motion expansion, boundary conditions and (1)317
Retarded motion expansion, complex viscosity for (1)329
Retarded motion expansion, constants in (1)301—303
Retarded motion expansion, creeping flows (1)316
Retarded motion expansion, definition (1)298
Retarded motion expansion, eccentric-disk rheometer (1)328
Retarded motion expansion, FENE dumbbells (2)80
Retarded motion expansion, flow into a slit (1)332
Retarded motion expansion, flow near a corner (1)339
Retarded motion expansion, flow systems analyzed for (1)318 326
Retarded motion expansion, hole-pressure effect (1)337
Retarded motion expansion, Hookcan dumbbells (2)105
Retarded motion expansion, limitations of (1)325
Retarded motion expansion, line sink (1)329
Retarded motion expansion, Oldroyd 6-constant model and (1)416
Retarded motion expansion, parallel disk viscometer (1)335
Retarded motion expansion, radial flow between parallel disks (1)330
Retarded motion expansion, relation to empirical constitutive equations (1)303
Retarded motion expansion, relation to integral models (1)438
Retarded motion expansion, relation to kinetic theory (1)302
Retarded motion expansion, relation to memory integral expansion (1)501
Retarded motion expansion, rigid dumbbells (2)131
Retarded motion expansion, rod-climbing (1)318 330
Retarded motion expansion, shearfree flows (1)329
Retarded motion expansion, stability of flow (1)337
Retarded motion expansion, turntable experiment (1)333
Retarded motion expansion, uses of (1)326
Retarded motion expansion, viscometric functions for (1)299
Reynolds number (1)12 207
Rheological equations of state see "Constitutive equations"
Rheological invariance (1)482
Rheologically steady shear flow (1)157
Rheometry (1)509—553
Rheometry, instruments for measurement of viscometric functions (1)518—520
Ricci's lemma (1)604
Riemann zeta function (1)266
Rigid dumbbell (2)20
Rigid dumbbell, diffusion equation (2)116 119 127
Rigid dumbbell, distribution functions for (2)112
Rigid dumbbell, Fraenkel dumbbell and (2)104 143
Rigid dumbbell, hydrodynamic interaction (2)133 213
Rigid dumbbell, lopsided (2)208
Rigid dumbbell, mixtures (2) 148
Rigid dumbbell, relaxation modulus (1)285 (2)131 237
Rigid dumbbell, second-order fluid constants (2)208
Rigid dumbbell, stress tensor (2)117 135
Ring models (2)50 209 215
Rivlin — Ericksen tensors see "Rate-of-strain tensor"
Rivlin — Sawyers model (1)436 441 467 499
Rivlin — Sawyers model, eccentric disk rheometer (1)471
Rivlin — Sawyers model, factorized (1)437
Rivlin — Sawyers model, third-order fluid and (1)303 506
Rod-climbing (1)163
Rod-climbing, experiments on (1)62
Rod-climbing, melt kinetic theory and (1)330 (2)335
Rod-climbing, second-order fluid (1)318 330
Rodlike polymers, models for (2)112 see "Multi "Rigid
Rolling-ball viscometer (1)537
Rotation matrices (2)26 157 182 223 235 410
Rotational isomeric state model (2)10
Rotatory diffusivity (2)62
Rotne — Prager — Yamakawa tensor (2)94 133 137 142 195 213
Rouse matrix (2)23 37
Rouse matrix, eigenvalues of (2)24 27
Rouse matrix, modified (2)166 169 217
Rouse model (2)17
Rouse model, base vectors (2)36
Rouse model, configurational distribution function (2)41 154 157
Rouse model, constitutive equation (2)159
Rouse model, diffusion equation (2)152—155 157 239
Rouse model, distribution function for interbead vector (2)45
Rouse model, end-to-end distance (2)18
Rouse model, generalized coordinates (2)32
Rouse model, generalized Maxwell model and (1)262
Rouse model, geometry of (2)23
Rouse model, material functions (2)161
Rouse model, metric matrix (2)36
Rouse model, normal coordinates (2)156
Rouse model, radius of gyration (2)27
Rouse model, relation to K-BKZ model (1)440
Rouse model, second-order fluid constants (2)208
Rouse model, single-link distribution function (2)178
Rouse model, stress tensor (2)156 239
Rouse model, two-link distribution function (2)49
Scale factors (1)584 597 598
Scott equation (1)190 234
Scott equation, deviations from (1)545
Second-order fluid (1)299 355 483 (2)397 see
Second-order fluid, bead-rod-spring models (2)204 207—210 238
Second-order fluid, eccentric annuli flows (1)311 314
Second-order fluid, elastic rhombus (2)215
Second-order fluid, elongational viscosity for (1)300
Second-order fluid, forces on solid surfaces (1)307 309
Second-order fluid, Giesekus's flow theorem (1)306
Second-order fluid, Kirkwood — Riseman chain (2)228
Second-order fluid, Kramers chain (2)218
Second-order fluid, Langlois — Rivlin — Pipkin theorem (1)309
Second-order fluid, melt kinetic theory and (2)336
Second-order fluid, multibead-rod (2)211
Second-order fluid, multirod-rod (2)304
Second-order fluid, Tanner — Pipkin plane-flow theorem (1)306
Second-order fluid, tridumbbell (2)213
Second-order fluid, useful theorems for (1)304
Second-order fluid, wire-coating (1)311
Secondary flows (1)69
Secondary flows in disk-cylinder system (1)69 327
Secondary flows in elliptical tube (1)327
Secondary flows near oscillating cylinder (1)71
Secondary flows near rotating sphere (1)69
Segalman memory function (1)442 473
Segment, in network theory (2)354
| Segment, in network theory, complexity (2)356
Segment, in network theory, contribution to stress tensor (2)362
Segment, in network theory, distribution function (2)356 371
Segment, in network theory, equation of continuity (2)358
Segment, in network theory, equation of motion for (2)357
Segment, in network theory, kinetics (2)358 368 378 380 384
Shear axes (1)156 158
Shear flow (2)398
Shear flow, classification (1)153 154
Shear flow, converted derivative of stress tensor (1)343 622
Shear flow, converted Jeffreys model (1)346
Shear flow, form of stress tensor (1)103 622
Shear flow, Giesekus model (1)625
Shear flow, homogeneous (1)100 154
Shear flow, kinematic tensors (1)622
Shear flow, material functions (1)104—132
Shear flow, nonhomogeneous (1)154
Shear flow, Oldroyd model (1)625
Shear flow, oscillatory (2)399
Shear flow, particle separations in (1)100
Shear flow, rate-of-strain tensors in (1)297 622
Shear flow, rectilinear (1)154
Shear flow, rheologically steady (1)157
Shear flow, simple (1)154
Shear flow, table of kinematic tensors (1)622—624
Shear flow, unidirectional (1)154 156 164
Shear flow, unsteady-state experiments (1)113
Shear rate (2)57
Shear rate, definition (1)100 155 (2)394 397
Shear strain (1)623
Shear stress (1)104
Shear-thickening fluids (1)61 105 173
Shear-thinning (1)60 105 173 see "Viscometric
Shearfree flows (2)57
Shearfree flows, converted Jeffreys model (1)349
Shearfree flows, form of stress tensor (1)104 165 622
Shearfree flows, Giesekus model (1)625
Shearfree flows, homogeneous (1)100 162
Shearfree flows, kinematic tensors (1)622
Shearfree flows, kinematics of (1)162
Shearfree flows, material functions (1)132—139
Shearfree flows, measurements (1)529
Shearfree flows, Oldroyd model (1)625
Shearfree flows, particle separation in (1)103
Shearfree flows, table of kinematic tensors (1)622—624
Shearfree flows, types of (1)101
Shearfree flows, White — Metzner model (1)415
Shearing plane (1)154
Shearing surface (1)155 158
Shift factor (1)107 139
Short-range-force approximation (2)279 281 310
Silicone (1)72 191
Silly Putty (1)73 95
Simple shear (2)364 367
Simple shear flow (2)57 1 138 161
Single-link distribution function (2)317 322 328 330
Sinusoidal motion see "Oscillatory motion in annulus" "Oscillatory "Oscillatory "Oscillatory
Slip at solid surface (1)12 247
Slip velocity (2)374
Slit flow see also "Couette flow"
Slit flow, base vectors in (1)505
Slit flow, Bingham model (1)229
Slit flow, converted coordinates in (1)487
Slit flow, Ellis model (1)229
Slit flow, Eyring model (1)229
Slit flow, generalized Newtonian fluid (1)242
Slit flow, kinematic tensors (1)505
Slit flow, Nusselt numbers for (1)213
Slit flow, power-law model (1)176 229
Slit flow, truncated power law (1)229
Slit, flow into Newtonian fluid (1)42 43
Slit, flow into second-order fluid (1)332
Sphere, rotating, Deborah number (1)93
Sphere, rotating, Newtonian fluid (1)31 34
Sphere, rotating, second-order fluid (1)318
Sphere, rotating, viscoelastic fluids (1)69
Sphere, translating (1)235
Sphere, translating, converted Maxwell (1)464
Sphere, translating, Deborah number (1)93
Sphere, translating, Newtonian fluid (1)23
Sphere, translating, Oldroyd model (1)414
Spherical coordinates (1)580 585
Spherical coordinates, Christoffel symbols in (1)603
Spherical coordinates, del operator in (1)583 590
Spherical coordinates, equation of motion in (1)612 613
Spherical coordinates, kinematic tensors in (1)614—620
Spherical coordinates, metric coefficients in (1)603
Spherical coordinates, unit vectors in (1)581 591 (2)405
Spherical film inflation (1)148
Spherical harmonics (2)120 128 138 408 409
Spriggs — Bird model (1)421
Spring force (2)21 see
Square duct (1)251
Squeezing flow, CEF equation (1)539
Squeezing flow, inertial effects (1)22
Squeezing flow, lubricated (1)533
Squeezing flow, Newtonian fluid (1)20
Squeezing flow, parallel-plate plastometer (1)537
Squeezing flow, power-law model (1)176 189
Stability (1)337 405
Stanton number (1)89
Star polymer model (2)28
Staudinger's rule (1)143 (2)176
Steady-state compliance, bead-rod-spring models (2)205
Steady-state compliance, linear viscoelasticity (1)270
Steady-state compliance, melt kinetic theory and (2)337
Stefan equation (1)22
Step-strain experiment (1)1 13 124 266 286 415
Stodola and Vianello method (1)217
Stokes' Law (2)58 115 152 193 199 279 285 see "Hydrodynamic
Stokes' law, anisotropic (2)97 311
Stokes' law, derivation of (1)23
Storage modulus see "Dynamic moduli"
Strain history (1)481
Strain tensors in kinetic theory (2)72 159 334 378
Strain tensors in shear flows (1)429 623
Strain tensors in shearfree flows (1)429 623
Strain tensors, Cauchy tensor (1)427
Strain tensors, components in curvilinear coordinates (1)616—619
Strain tensors, definition of (1)425 (2)396
Strain tensors, eigenvalues of (1)435
Strain tensors, expansion in Taylor series (1)505
Strain tensors, Finger tensor (1)427
Strain tensors, finite (1)425 470
Strain tensors, infinitesimal (1)257 489
Strain tensors, invariants of (1)435 437 624
Strain tensors, reference state (1)257 260
Strain tensors, relative (1)427 489
Strain tensors, transformation rules for (1)488
Strain-time factorization (1)437 451
Stream function, definition (1)22
Stream function, differential equations for (1)24
Stress growth (1)113 (2)399 see
Stress growth in elongational flow (1)135 (2)400
Stress growth in shear flow (1)118
Stress growth, converted Jeffreys model (1)348
Stress growth, sample experimental data (1)120—123
Stress history (1)482
Stress ratio (1)110
Stress relaxation after shear flow (1)113 (2)400 see
Stress relaxation after shear flow in elongational flow (2)400
Stress relaxation after shear flow, bead-spring chains (2)173
Stress relaxation after shear flow, converted Jeffreys model (1)348
Stress relaxation after shear flow, linear viscoelastic fluid (1)267
Stress relaxation after shear flow, normal stress coefficient and (1)417
Stress relaxation after shear flow, rigid dumbbells (2)145 147
Stress relaxation after shear flow, sample experimental data (1)124
Stress relaxation after step strain (1)113 124
Stress relaxation after step strain, linear viscoelastic fluid (1)266
Stress tensor see also "Constitutive equations"
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