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| Авторизация |
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| Поиск по указателям |
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| Aris R. — Vectors, Tensors and the Basic Equations of Fluid Mechanics |
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| Предметный указатель |
Stokes' theorem in a surface 223
Stokes, G.G. 61
Strain: in a surface 230
Strain: principal rates of 92
Strain: rate of 88
Strain: rate of, in converted coordinates 187
Strain: surface, connection with surroundings 237
Stream function 126
Stream tube 80
streamline 79—82
Stress 99
Stress, direct 105
Stress, in a surface 231
Stress, local equilibrium of 100
Stress, physical components of: in cylindrical polar coordinates 181
Stress, physical components of: in spherical polar coordinates 181
Stress, principal axes of 105—106
Stress, rate of doing work 117
Stress, shear 105
Stress, tensorial character 99—101
Summation convention 136
Summation convention, Cartesian 9
Surface curl 223
Surface divergence 223
Surface motion, intrinsic equations of 233
Surface tension 231 234
Surface: closed 44
Surface: continuity with surroundings 235
Surface: curve in 219
Surface: curve in, principal normal of 220
Surface: developable 221
Surface: differential operators in 222
Surface: first fundamental form of 213
Surface: mean curvature of 218—221
Surface: normal curvature of 220
Surface: normal to 214
Surface: piece-wise smooth 44
Surface: reducible 44
Surface: second fundamental form of 216
Surface: simply connected 44
Surface: smooth 44
Surface: third fundamental form of 217
Synge, J.L. 175
Tensor: absolute, definition of 144
Tensor: addition 147
Tensor: anholonomic components of 159
Tensor: antisymmetric 22
Tensor: antisymmetric, vector of 24
Tensor: associated 147
Tensor: Cartesian: higher order 28
Tensor: Cartesian: second order 21
Tensor: Cartesian: symmetric 21
Tensor: characteristic equation of 27
Tensor: characteristic values of 27 151
Tensor: conjugate metric, of a surface 197
Tensor: conjugate second order 22
Tensor: contraction of 147
Tensor: covariant derivative of 168
Tensor: deformation 89
Tensor: deformation, invariants of 92
Tensor: deformation, physical interpretation of 89—91
Tensor: derivative of 38
Tensor: differentials of 160
Tensor: hybrid, definition of 212—213
Tensor: informal definition of 5
Tensor: inner product of 147
Tensor: invariants of 26
Tensor: isotropic 22 30—34 146
Tensor: isotropic, of fourth order 180
Tensor: metric 142
Tensor: metric, of a surface 196
Tensor: order of 144
Tensor: outer product of 147
| Tensor: physical components of 156
Tensor: rank of 144
Tensor: rate of strain 89
Tensor: relative, definition of 144
Tensor: second order, symmetric, principal directions of 151
Tensor: stress 101 107
Tensor: stress, symmetry of 102 123
Tensor: stress, viscous 105
Tensor: surface, definition of 194
Tensor: symmetric, canonical form of 25
Tensor: symmetry of 147
Tensor: velocity gradient 89
Torque stress 103
Torque, body 103
Toupin, R. 7 82 86 97 112
Transformation, inverse 138
Transformations, group of 138
Triple scalar product 18
Triple vector product 19
Truesdell, C 7 37 61 73 74 82 86 94 95 97 112 133 157 175 191 192
Unit Cartesian vector 13
Vector field 51
Vector field, abnormality of 72
Vector field, Beltrami 65 72 73
Vector field, classification of 63
Vector field, complex lamellar 64
Vector field, curl of 55 169
Vector field, divergence of 53 169
Vector field, Helmholtz representation of 70
Vector field, irrotational 57 65—67
Vector field, lamellar 64
Vector field, Laplacian 65
Vector field, parallel 161
Vector field, representation of 63
Vector field, solenoidal 54 67—69 88
Vector field, Trkalian 65 73
Vector operator  51
Vector product 16
Vector: angle between 149
Vector: axial 36
Vector: base 151
Vector: base, reciprocal 152
Vector: Cartesian: basis 13
Vector: Cartesian: condition for coplanarity 13
Vector: Cartesian: definition of 8 10
Vector: Cartesian: length of 10
Vector: characteristic 151
Vector: contravariant, definition of 140
Vector: covariant, definition of 141
Vector: informal definition of 3
Vector: length of 149
Vector: multiplication 23
Vector: physical components of: in nonorthogonal coordinate systems 155
Vector: physical components of: in orthogonal coordinate systems 153
Vector: surface, direction of 198
Vector: surface, length of 198
Vector: unit 11 149
Velocity 39
Velocity potential 125 130 132
Velocity, in a surface 227
Velocity, physical components of 177
Viscosity: bulk, coefficient of 112
Viscosity: shear, coefficient of 111
Volume: composite 48
Volume: elementary 48
Vortex lines 95
Vortex tubes 95
Vorticity 95
Vorticity, connection between viscosity and 114
Weight of a relative tensor 144
Weingarten's formulae 218 223
Weiss, P. 54
Wilson, E.B. 36
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