|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Astarita G., Marrucci G. — Principles of Non-Newtonian Fluid Mechanics |
|
|
|
| Предметный указатель |
Acceleration tensor 198 202
Acceleration vector 180
Acosta, G. 258
Amplitude 181 184
Anistropy 47 119
Annular flow 172
Apparent consistency 58
Apparent viscometric viscosity 44 45 53 58
Argument 121—22
Argument function 125 141
Argument, tensor 145
Argument, vector 145
Associated derivative 94
Associated derivative of stress 96
Associated derivative of unit tensor 95
Associated relative tensor 93
Astarita, G. 241
atom 145
Balance equation 1 2
Bernoulli equation 36 40
Bernstein, B. 207
Bessel function 187 275
Bird, R. B 223
BK 2
BK, theory 207 208 229
Blasius-type equation 265
Boltzmann’s superposition principle 202
Boundary conditions free boundaries 237
Boundary conditions Maxwell orthogonal rheometer flow 189 191
Boundary conditions Newtonian fluid 235 274
Boundary conditions non — Newtonian fluid 275
Boundary conditions periodic steady plane shear 183 185 187
Boundary layer 239—41 256—61 264 265
Boussinesq 50
Capillary viscometer data 73
cartesian (see Cartesian coordinate system)
Cartesian components 13
Cartesian coordinate system 6—8 13 16 20 21 44 70 110 165 179 182 189 231 256 272
Cartesian, change of 19 46
Cartesian, convected 98—103 218
Cartesian, cylindrical 174 186 189
Cartesian, orthogonal 66 69 57
Cartesian, spherical 111 172
Cauchy strain 99
Cauchy tensor 81—84 90 91 96 99 106 108 198 202
Cayley — Hamilton theorem 52 69
Centrifugal forces 187—88 190
Channel flow 168
Christoffel symbol 21 70 113 114
Coleman, B. D. 1 48 106 127 133 142 168 207 212 225 269 270 274 276
components (see Tensor components Vector
Compressibility 137
Cone-and-plate flow 172—74
Cone-and-plate periodic flow 187
Cone-torsional flow 175—77
Conservation of energy, principle of 38
Conservation of mass, principle of 2
Conservation of moment of momentum, principle of 34
Conservation of momentum, principle of 3 32
Consistency 55
Consistency relations 255
CONSISTENCY TEST 8
Constant density fluids 2 3 82
Constant stretch history flow 103—9 155—58 163 180 205 254 255 267
Constant stretch history flow, extensional 108
Constant stretch history flow, fourth-order 108
Constant stretch history flow, isothermal 156
Constant stretch history flow, rigid-body motions 107
Constant stretch history flow, viscometric 107
Constitutive equations 196—234
Constitutive equations and principle of material objectivity 98 103
Constitutive equations and second law of thermodynamics 135
Constitutive equations and simple fluid theory 117
Constitutive equations for extra stress 35
Constitutive equations for total stress 33
Constitutive equations with fading memory 128—31
Constitutive equations, classification 196
Constitutive equations, definition 3
Constitutive equations, energetic 139
Constitutive equations, entropic 136 138 143 46 148
Constitutive equations, form 4 60
Constitutive equations, general 132 199
Constitutive equations, invariant 46
Constitutive equations, isothermal 151
Constitutive equations, Maxwell-type 278
Constitutive equations, Newtonian 50 52 55 132
Constitutive equations, non-linear viscoelasticity 193
Constitutive equations, non-variant 47
Constitutive equations, purely viscous non — Newtonian 43—77
Constitutive equations, Reiner — Rivlin 71 117
Constitutive equations, requirements of objectivity for 46—50
Constitutive equations, rheological 143 148
Constitutive equations, rheometrical flow 155
Constitutive equations, Rivlin — Ericksen 198
Constitutive equations, thermal 145
Constitutive equations, thermodynamic 149
Constitutive equations, Truesdell’s model 61
Continuity 123
Continuity equation 29—31 70 235
Continuity equation, ?Eulerian’ form 31
Continuity equation, boundary layer 241
Continuity equation, Lagrangian form 31 50
Continuity equation, Maxwell orthogonal rheometer flow 189
Contravariant derivative of contravarient vector 22
Contravariant derivative of covariant vector 22
Contravariant metric 15
Controllable flow 160—61 169 170 172
Convected rate 95
Converted coordinates 98— 103 218
Coordinate system 6 7 25 98
Corotating frame 95 128—29
Corotational derivative 94 95 216—17 227
Couette flow 170—72
Couette flow, lineal 44 53 55 60—61 70 109 165—66 231
Covariant derivative of contravariant vector 22
Covariant derivative of covariant vector 22
Covariant metric 15
Craik, A. D. D 278
creep 162—63
Creeping flow 242
Curvilineal flow 166—68
Damping 273
Dashpots 222 229
Deborah number 251 262 264 265 278
Decomposition. 80
Deformation 4 61 99 118 193 202 213
Deformation gradient 79 91 144 146
Deformation gradient history 104
Deformation history 117—19 121 128 131 162 198 201 204 212 224—25
Deformation rate 61 62 211 213
Deformation tensor 144
Deforming bodies, kinematics of 98
Denn, M. M 256 258 260 272 278
density 2 3 4 40
Density, constant 2 3 51 82 100 120
derivatives 6 126
Derivatives of scalar-valued function with respect to vector-valued and tensor-valued arguments 145
Derivatives, associated 94—96
Derivatives, corotational 94 95 216—17 227
Derivatives, covariant 22
Derivatives, instantaneous 142
Derivatives, lower convected 94 97
Derivatives, substantial 30 34
Derivatives, symmetric tensor 97
Derivatives, transformation of 92
Derivatives, upper convected 94 97
Differential Bernoulli equation 36
Differential equations 198—201 228 239 257 260
Differential mass balance equation 30
Differentiation in space 19
| Differentiation of vector and tensor functions 65
Dilatant fluids 44 45
Dimensional analysis 236 245—52
Dimensional invariance 47
Dimensionless groups of non-Newtonian fluid mechanics 250—52
Dimensionless operators 246—47
Discontinuity 141 273—76
Displacement function 184
Dissipation rate, mechanical 148—50
Distance 124
Divergence of tensor 23 37
Divergence of total stress 32—33
Divergence of vector 22
Domain 121 123 124
Drag coefficient 258 261
Drag reduction 262 264—66 268
Dual 12 68
Dummy 8
Dyad 11 12 16 32 63 101
Dynamic modulus 248
Dynamic rigidity 160 205
Dynamical equation 32—34 46 57 72 16
Dynamical equation, Eulerian form 32—33
Dynamical equation, Lagrangian form 33—34
Dynamical equation, role 35
Dynamical equation, special forms 36—37
d’Alembert paradox 240
Elastic energy, rate of accumulation 148
Elastic modulus 204
Elastic parameter 260
Elasticity 61—63
Elasticity in fluids 40
Elasticity, convected 61
Elongation rate 178
Elongational flow 178 205 273
Energetic constitutive equation 139
Energetic equation of state 4 5 41
Energy balance equation 4
Energy balance equation, Lagrangian form 39
Energy conservation equation 4
Energy conservation, principle of 38
Energy dissipation 52 139—41
Energy dissipation, rate of 139
Energy equations 38 41
Energy function 208—9
Enthalpy 149
Entropic constitutive equation 136 138 143—46 148
Entropic equation of state 134
entropy 40 136 137
Equations 1—42
Equations for behaviour of specific materials 1
Equations of motion of state energetic 4 5 41
Equations of motion, boundary conditions 274
Equations of motion, boundary layer 240 241 259
Equations of motion, entropic 134
Equations of motion, Maxwell orthogonal rheometer flow 190
Equations of motion, mechanical 133
Equations of motion, Newtonian fluid 244
Equations of motion, periodic helical flow 186
Equations of motion, periodic steady plane flow 182 184
Equations of motion, second-order fluid 276
Equations of motion, thermodynamic 2—4 (see also Under specific types of)
Equipresence, principle of 150
Ericksen, J. L. 119 198
Euclidean space 24—26 29 124
Euler equations 36 237— 11 256 259
Euler number 252
Eulerian form of continuity equation 31
Eulerian form of dynamical equation 32—33
Eulerian-periodic flow 180 213
Extensiometric flows 179 210
Extensiometric material functions 177 178 200 204 210
Extensional flow 108 177—80 268—73
Extra pressure 161 168 169 180 182 183 186 190 237
Finger tensor 82 83 84 90 91 96 106 108
First elasticity number 251
Flow behaviour index 58
Flow rate, volumetric 43 56
Flow, classification 235 45
Flow, secondary 252—56
Flow, spherical symmetric, towards point sink, kinematics of 111
Flow, superimposed 252—56 (see also under specific types of flow)
Fluid mechanics 235—80
Fluid mechanics, definition 1
Fluid mechanics, memory 54
Fluidity, concept of 119
Fluids, dilatant 44 45
Fluids, isotropic 119
Fluids, pseudoplastic 45 55
Fluids, simple 117—52
Fourier’s law 4 135
Frame (of reference) 24 98 104 105
Frame (of reference), change of 26 46 95
Frame (of reference), corotating 95 128—29
Frame (of reference), inertial 32
Frame-indifference 31 46—47 106
Frame-invariance 130
Frechet differential 126 147 149 255
Free energy 150
Friction factor 59 261—64
Friction factor’ Reynolds number diagram 261 262
Froude number 236 245
Function 30 122 125 155 171 213 228
Function, argument 141
Function, composite 122
Function, isotropic 16 17 82
Function, scalar-valued 145
Functional 122—23 125 129—30 141 192 206 212—14
Functional, constitutive 127
Functional, continuity 125—26
Functional, definition 121
Functional, determination of 154
Functional, differentiability 126
Functional, isotropic 156
Functional, smoothness 126
Gauss — Ostrogradskii theorem 29
Generalized Newtonian fluids 54—56 154
Generalized Newtonian fluids, laminar flow 56—60
Gibbs free energy 149
Gibbs — Duhem’s inequality 137
Gravity forces 236
Green tensor 81 83
Hagen — Poiseuille law 43 44 59 153
Hamilton — Cayley theorem 188 206 207
Heat flux 4
Helmholtz free energy 134 137 141
Hinze, J. O. 264
histories 85
Homologous materials 247
Huilgol, R. R 105
Hydrodynamics 131
Hydrostatic pressure 161
Hydrostatics 130
Hyperelastic material 207
Ideal fluid, definition of 36
Incompressible ideal fluids 131
Indices, raising and lowering 16
Inertia forces 183 187—88
Integral equation 201—15
Integral equation, rate-controlled 211—15
Integral, transformation of 92
Internal constraints, principle of 120
Internal energy 4 40 135 138
Invariant of tensor 16—18
Isothermal systems 4
Isotropic function 16 17 82
Isotropic scalar functions 28
Isotropy 47
James, D. F. 258
Jaumann derivative 94 216
|
|
|
| Реклама |
|
|
|
|
|
О проекте