Page 373 - Intro to Tensor Calculus

INDEX 367

Stress 214 U
Stress deviator 279
Unit binormal 131, 192
Strong conservative form 298
Unit normal 131, 191
Strouhal number 294
Unit tangent 131, 191
St Venant 258
Unit vector 81, 105
Subscripts 2
Subtraction of tensors 51, 62
V
Summation convention 4, 9
Superscripts 2
Vector identities 15, 20, 315
Surface 62, 131
Vector transformation 45, 47
Surface area 59
Vector operators 20, 175
Surface curvature 149
Vector potential 188
Surface metric 125, 133
Velocity 95, 121, 190, 193
Susceptibility tensor 333
Velocity strain tensor 281
Sutherland formula 285
Viscosity 285
Symmetric system 3, 31, 51, 101
Viscosity table 285
Symmetry 243
Viscous fluid 283
System 2, 31
Viscous forces 288
Viscous stress tensor 285
T
Vorticity 107, 292
Tangential basis 37
W
Tangent vector 130
Tensor and vector forms 40, 150
Wave equation 255, 269
Tensor derivative 141
Weighted tensor 48, 127
Tensor general 48
Weingarten’s equation 138, 153
Tensor notation 92, 160
Work 191, 279
Tensor operations 6, 51, 175
Work done 324
Test charge 322
Thermodynamics 299 Y
Third fundamental form 146
Young’s modulus 212
Third order systems 31
Toroidal coordinates 75, 103
Torus 124
Transformation equations 17, 37, 86
Transitive property 45,46
Translation of coordinates 84
Transport equation 302
Transposition 6
Triad 50
Trilinear form 98
Triple scalar product 15