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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 |
Friction tensor (2)60 97 285 300
Friction tensor in melts (2)311
Friction tensor, effective (2)188 286
Friction tensor, modified effective (2)187
Friction tensor, total effective (2)187 286
Froude number (1)12 207
Galerkin's method (1)200
Gaussian distribution (2)14
Gaussian spring (2)16 355
General linear viscoelastic model (1)263 511
Generalized coordinates (2)31 182 248
Generalized forces see "Forces in kinetic theory"
Generalized Maxwell model (1)262
Generalized Maxwell model, convected (1)409 432
Generalized Maxwell model, fitting linear viscoelastic data (1)117
Generalized Maxwell model, stress growth (1)269
Generalized Maxwell model, stress relaxation (1)268
Generalized momenta (2)31 34 249
Generalized Newtonian fluid (1)169—253
Generalized Newtonian fluid, Deborah number (1)234
Generalized Newtonian fluid, equations of change for (1)206
Generalized Newtonian fluid, limitations of (1)233
Generalized Newtonian fluid, Nusselt numbers for (1)212 213
Generalized Newtonian fluid, slit flow (1)242
Generalized Newtonian fluid, tube low (1)242
Generalized Newtonian fluid, variational principle for (1)201 252
Generalized velocities (2)34 248
Generation number (1)207
Giesekus constitutive equation (1)353 361 412 417
Giesekus constitutive equation for shear and shearfree flow (1)625 626
Giesekus constitutive equation, kinetic theory derivation (2)97
Giesekus constitutive equation, third-order constants for (1)303
Giesekus equation for kinematic tensors (1)305
Giesekus stress tensor see Stress tensor
Giesekus's three-dimensional flow theorem (1)306
Gleissele's mirror relations (1)150 153
Gordon — Schowalter equation (1)355
Gradient (1)571 572
Graetz number (1)212 213
Hagen — Poiseuille equation (1)15 177
Hamilton's equations (2)37 251
Hamiltonian (2)15 37 249
Hand equation (1)422
Hassager equation (1)442
heat capacity (1)209
Heat flux (1)9 11
Heat transfer see "Nonisothermal flow problems"
Heat-transfer coefficient (1)89 215 216
Heaviside unit step function (1)123 286 (2)75
Heaviside unit step function, definition 286
Helical flow see "Annular flow helical"
Helmholtz equation (2)230 234
Helmholtz free energy (2)15 109 241
Helmholtz — Korteweg variational principle (1)201
Hencky strain (1)135 430 531 624
Herschel — Bulkley equation (1)227
Heterogeneity index (1)59 96
Higashitani — Pritchard equation (1)68 463
Hole-pressure effect (1)67 97 521
Hole-pressure effect, Curtiss — Bird model (1)462
Hole-pressure effect, Higashitani — Pritchard relation (1)68 463
Hole-pressure effect, second-order fluid (1)337
Hole-pressure effect, Tanner — Pipkin relation (1)463
Homogeneous velocity fields (2)57 286 393
Homopolymers (1)56
Hookean dumbbell, constitutive equation (2)71 100
Hookean dumbbell, distribution function (2)21 29
Hookean dumbbell, end-to-end distance (2)28 107
Hookean dumbbell, energy dissipation (2)106
Hookean dumbbell, force law (2)21
Hookean dumbbell, material functions for (2)73—76
Hookean dumbbell, memory function for (2)72
Hookean dumbbell, nearly Hookean dumbbell (1)410
Hookean dumbbell, nondilute solutions (2) 107
Hookean dumbbell, nonisothermal flow (2)100
Hookean dumbbell, retarded-motion constants for (1)302 (2)105
Hookean dumbbell, second-order-fluid constants (2)208
Hookean dumbbell, thermodynamic quantities (2)108
Hookean dumbbell, time constants (2)71
Hookean solid (1)257
Hookean spring (2)15
Huggins coefficient (1)109
Hydrodynamic force see also "Forces in kinetic theory" "Stokes'
Hydrodynamic force in melts (2)311
Hydrodynamic force, bead-rod-spring model (2)199
Hydrodynamic force, kinetic theory definition (2)273
Hydrodynamic force, table of notation (2)283
Hydrodynamic interaction see also "Oseen — Burgers tensor" "Rotne
Hydrodynamic interaction parameter (2)133 169 177
Hydrodynamic interaction, bead-rod-spring models (2)185 285
Hydrodynamic interaction, bead-spring chains (2)164—173
Hydrodynamic interaction, elastic dumbbells (2)59 92
Hydrodynamic interaction, equilibrium-averaged (2)94 164 185 204 213
Hydrodynamic interaction, Hookean dumbbells (2)94
Hydrodynamic interaction, multibead-rod (2)195
Hydrodynamic interaction, nondilute solutions (2)107
Hydrodynamic interaction, notation for (2)188
Hydrodynamic interaction, rigid dumbbells (2)133
Hydrodynamic interaction, stress tensor with (2)135 198
Hydrodynamic interaction, tensors (2)285
Hydrodynamic interaction, Zimm matrix (2)165
Hydroxyethylcellulose (1)175 191 446 (2)91
Incompressibility (1)5 11 435 476 (2)393
Indices, conventions for (2)33 249
Inelastic fluids see "Generalized Newtonian fluid"
Infinite-shear-rate viscosity (1)107
Infinitesimal strain tensor (1)257 see
Infinitesimal strain tensor, additivity of (1)258
Infinitesimal strain tensor, derived from finite strain tensors (1)489
Instability problems (1)235
Integral constitutive equations (1)425—476
Integral operations over all space (2)404
Integral operations over unit sphere (2)497
Internal degrees of freedom (2)4
Internal degrees of freedom, chain models (2)32
Internal degrees of freedom, equations of motion for (2)38 251 272
Internal degrees of freedom, freezing out (2)41 46 104 143 218 226
Internal energy, bead-rod-spring models (2)241
Internal energy, equation of change for (1)9
Internal energy, Hookean dumbbell solution (2)108
Internal viscosity (2)105 172
Intramolecular force see "Forces in kinetic theory"
Intrinsic viscosity (2)81 123 162 205 399
Intrinsic viscosity, complex viscosity (1)117 see
Intrinsic viscosity, definition (1)109
Intrinsic viscosity, Mark — Houwink exponent (1)143
Invariance, rheological (1)482
Invariants (1)568
Invariants of rate-of-strain tensor (1)170 351
Invariants of strain tensors (1)435 437 624
Invariants, joint (1)569
Inverse Langevin force law (2)16
Irrotational fields (1)575
Jacobian of transformation (2)40
Jaumann derivative (1)342 507 (2)395
Jeffreys model (1)261 285 see
Jet emerging see also "Fiber-spinning"
Jet emerging from tube, extrudate swell (1)72
Jet emerging from tube, Newtonian fluid (1)36
Jet emerging from tube, polymer additives and jet breakup (1)91
Johnson — Segalman equation (1)355
Journal-bearing problem see "Eccentric annuli tangential
Junctions in networks (2)354
K-BKZ model (1)436 466 (2)398
K-BKZ model, factorized (1)437 475 (2)398
K-BKZ model, relation to molecular theories (1)440
K-BKZ model, retarded motion expansion and (1)438
K-BKZ model, third-order fluid and (1)303
Kaye model (1)467
Kinematic tensors (1)294 296 (2)396 see "Strain "Vorticity
| Kinematic tensors, operations with (1)506
Kinematic tensors, relations among (1)504
Kinematic tensors, table of notation for (1)492
Kinematic tensors, tables in curvilinear coordinates (1)614—620
Kinematics (1)100—103 153—163
kinetic energy (2)33 35
Kinetic energy, average value of (2)43
Kinetic energy, elastic dumbbells (2)48
Kinetic energy, equation of change for (1)8
Kinetic energy, internal (2)248
Kinetic energy, rotational (2)247
Kirkwood equation for translational diffusivity (2)174 299
Kirkwood — Riseman model (2)10
Kirkwood — Riseman model, elongational viscosity (2)229
Kirkwood — Riseman model, end-to-end distance (2)13 228
Kirkwood — Riseman model, equilibrium distribution function (2)226
Kirkwood — Riseman model, generalized coordinates (2)32
Kirkwood — Riseman model, geometry of (2)25 223
Kirkwood — Riseman model, radius of gyration (2)27
Kirkwood — Riseman model, second-order fluid constants (2)209 228
Kramers matrix (2)23 37
Kramers matrix, modified (2)166 217
Kramers matrix, relations for (2)179
Kramers model (2)11
Kramers model, base vectors (2)35 217
Kramers model, configurational distribution function (2)40 49
Kramers model, dynamic moduli (2)232
Kramers model, elongational viscosity (2)219
Kramers model, end-to-end vector probability (2)49
Kramers model, generalized coordinates (2)32
Kramers model, geometry of (2)23 217
Kramers model, melt kinetic theory and (1)302 (2)309
Kramers model, metric matrix (2)35 217
Kramers model, radius of gyration (2)27
Kramers model, relation to bead-spring chain (2)46
Kramers model, second-order fluid constants (2)208 218
Kramers model, three-bead (2)35 49 189 232
Kramers stress tensor see "Stress tensor"
Kramers tensors (2)218 313
Kramers — Kronig relations (1)265 284 291
Kronecker delta (1)559 (2)13
Lagrange's identity (1)564
Lagrangian technique (1)456 461
Langevin function (2)16
Langlois — Rivlin — Pipkin theorem (1)309
Laplace transform (1)289 370
Laplacian (1)573 596 604 606
Laun's rule (1)150
Leal — Hinch equation (1)422
Legendre polynomials (1)324 (2)408
Leibniz formula for differentiating an integral (1)525
Leibniz formula for differentiating an integral, three-dimensional (1)576
Leonov model (1)361 413
Line sink, Hookean dumbbell solutions (2)107
Line sink, kinematics of (1)162
Line sink, Lodge rubberlike liquid (1)456 473
Line sink, third-order fluid (1)329
Linear viscoelasticity (1)255—291
Linear viscoelasticity, finite (1)431
Linear viscoelasticity, flow problems (1)275
Linear viscoelasticity, limitations of (1)282
Linear viscoelasticity, measurements (1)510
Linear viscoelasticity, table of analogous quantities (1)272
Linear-locked dumbbell (2)21
Lines of shear (1)155 158
Link tension coefficient (2)311 313
Liouville equation (2)255
Lodge network model (1)432 433 (2)368
Lodge network model, inception of shear flow (2)387
Lodge network model, non-affine modification (2)376
Lodge network model, relation to K-BKZ model (1)440
Lodge rubberlike liquid (1)431 483 499 (2)397
Lodge rubberlike liquid, comparison with experimental data (1)122
Lodge rubberlike liquid, eccentric disk rheometer (1)513
Lodge rubberlike liquid, filament stretching (1)469
Lodge rubberlike liquid, line sink (1)456
Lodge rubberlike liquid, rapid deformations of (2)389
Lodge rubberlike liquid, recoil (2)388 390
Lodge rubberlike liquid, shear flow (1)432
Lodge rubberlike liquid, spherical film inflation (1)458
Lodge — Meissner rule (1)125
Loss modulus see "Dynamic moduli"
Loss tangent (1)116
Lubricated squeezing flow (1)533
Lubrication approximation (1)13 18 19 176 189
Macromolecule see "Polymer"
Mark — Houwink exponent (1)143
Martin equation (1)144
Mass flux (2)299 401
Mass flux through surface (1)559
Mass flux, kinetic theory expression (2)258 264 270 278 296
Material (time) derivative (2)395
Material derivative (1)9 (2)395
Material functions (1)99—153
Material functions and linear viscoelasticity (1)264—275
Material functions from kinetic theory see also "Complex viscosity" "Elongational "Normal-stress "Viscosity"
Material functions from kinetic theory in melts (2)335 339—349
Material functions from kinetic theory, definitions (2)398
Material functions from kinetic theory, FENE dumbbell (2)80—88 90
Material functions from kinetic theory, Fraenkel dumbbell (2)104
Material functions from kinetic theory, Hookean dumbbell (2)73—76 94 101
Material functions from kinetic theory, Kramers chain (2)219
Material functions from kinetic theory, Lodge network model (2)370 387 388
Material functions from kinetic theory, multibead-rods (2)136
Material functions from kinetic theory, non-affine Lodge network model (2)376
Material functions from kinetic theory, Phan-Thien and Tanner model (2)382
Material functions from kinetic theory, rigid dumbbell (2)123 132 138 144 145 148
Material functions from kinetic theory, Rouse model (2)161
Material functions from rheometric measurements (1)509—553
Material functions, converted Jeffreys model (1)349
Material functions, correlations for (1)139—153
Material functions, definitions of (1)114 132
Material functions, Giesekus equation (1)361—368
Material functions, Hassager model (1)446—449
Material functions, K-BKZ model (1)439
Material functions, Lodge rubberlike liquid (1)432
Material functions, Oldroyd 4-constant model (1)356—360
Material functions, Oldroyd 8-constant model (1)356
Material functions, Rivlin — Sawyers model (1)439
Material functions, Wagner model (1)451
Mathematical formulary (2)403
Matrizant (1)508
Maxwell model (1)258 278 285 see
Maxwell orthogonal rheometer see "Eccentric disk rheometer"
Maxwellian velocity distribution (2)57
Maxwellian velocity distribution, anisotropic modification of (2)96
Mechanical energy balance (1)552
Melts, kinetic theory of (2)307
Melts, modeling of (2)310 354
Melts, network theories of (2)353
Melts, stress tensor (2)325
Memory function, complex viscosity and (1)287
Memory function, definition (1)263 (2)397
Memory function, general network theory (2)378
Memory function, generalized Maxwell model (1)262
Memory function, Hookean dumbbells (2)72
Memory function, Jeffreys model (1)262
Memory function, Lodge network model (2)368
Memory function, Lodge rubberlike liquid (1)431
Memory function, Marrucci et al., model (2)380
Memory function, Maxwell model (1)260
Memory function, Phan-Thien and Tanner equation (2)375
Memory function, Rouse chain (2)159
Memory function, Wagner model (2)384
Memory in viscoelastic fluids (1)56 60 73 79 263
Memory-integral expansion (1)498 (2)397
Memory-integral expansion, Oldroyd model and (1)502
Memory-integral expansion, relation to retarded motion expansion (1)501
Memory-integral expansion, rigid-dumbbell model and (2)131
Metric coefficients (1)481 600 604
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