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Astarita G., Marrucci G. — Principles of Non-Newtonian Fluid Mechanics
Astarita G., Marrucci G. — Principles of Non-Newtonian Fluid Mechanics

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Название: Principles of Non-Newtonian Fluid Mechanics

Авторы: Astarita G., Marrucci G.

Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1974

Количество страниц: 289

Добавлена в каталог: 02.02.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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
1 2 3
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