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| Ïîèñê ïî óêàçàòåëÿì |
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| Kundu P.K., Cohen I.R. — Fluid mechanics |
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| Ïðåäìåòíûé óêàçàòåëü |
Effective gravity force 102
Eigenvalues and eigenvectors of symmetric tensors 40—42
Einsteir summation convention 27
Ekman layer at tree surface 569—574
Ekman layer on rigid surface 574—577
Ekman layer thickness 571
Ekman number 568
Ekman spiral 571—572
Ekman transport at a free surface 572
Elastic waves 194 665
Element point of view 390—393
Elliptic circulation 651—653
Elliptic cylinder, ideal flow 173—174
Elliptic equation 151
Energy baroclinic instability 621—623
Energy Bernoulli equation 114
Energy equation, integral form 76—77
Energy equation, mechanical 104—107
Energy equation, one-dimensional 668—669
Energy equation, thermal 108—109
Energy flux, group velocity and 218—221
Energy flux, in internal gravity wave 250—253
Energy flux, in surface gravity wave 209
Energy spectrum 505
Ensemble average 500—501
Enstrophy 623
Enstrophy cascade 624
Enthalpy, defined 13
Enthalpy, stagnation 671
Entrainment in laminar jet 351
Entrainment, turbulent 524
entropy, defined 14
Entropy, production 109—110
Epsilon delta relation 36 99
Equations of motion, averaged 506—512
Equations of motion, Boussinesq 119 559—560
Equations of motion, Cauchy's 87
Equations of motion, for Newtonian fluid 94—97
Equations of motion, for stratified medium 559—561
Equations of motion, for thin layer on rotating sphere 562—564
Equations of motion, in rotating frame 99—104
Equations of state 13
Equations of state, for perfect gas 16
Equilibrium range 521
Equipartition of energy 208
Equivalent depth 586
Euler equation 98 111 317
Euler equation, one-dimensional 669—670
Eulerian specifications 51—52
Exchange of stabilities, principle of 432
Expansion coefficient, thermal 15—16 17
f-planc mode 564
Falkner — Skan solution 329—330
Falkner, V.W. 329
Fick's law of mass diffusion 6
Finite clement method, element point of view 390—393
Finite clement method, Galerkin's approximation 386—388
Finite clement method, matrix equations 388—390
Finite clement method, weak or variational form 385—386
Finite difference method 380—385 388—390
First law of thermodynamics 12—13
First law of thermodynamics, thermal energy equation and 108—109
Fish, locomotion of 655—656
Fixed point 486
Fixed region, mechanical energy equation and 107
Fixed volume 78
Fixed volume, angular momentum principle for 92—93
Fixed volume, momentum principle for 88—90
Fjortoft's theorem 472—474
Flat plate, boundary layer and Blasius solution 323—329
Flat plate, closed form solution 321—323
Flat plate, drag coefficient 328—329
Fluid mechanics, applications 1—2
Fluid statics 9—12
Flux divergence 104—105
Flux of vorticity 60
Force field 83
Force potential 83
Forces in fluid, body 83
Forces in fluid, line 84
Forces in fluid, origin of 82—84
Forces in fluid, surface 83
Forces, conservative body 83 132
Forces, Coriolis 103—104
Forces, on a surface 32—35
Form drag 338 654
Fourier's law of heat conduction 6
Frequency, wave, circular or radian 197
Frequency, wave, Doppler shifted 199
Frequency, wave, intrinsic 198
Frequency, wave, observed 198
Friction drag 328—329 634 654
Friction, effects in constant-area ducts 690—694
Froude number 227 259 268
Froude number, internal 268—269
Fully developed flow 274
Fuselage 630
Galerkin Least Squares (GLS) 405
Galerkin's approximation 386—388
Gas constant, defined 16—17
Gas constant, universal 16
Gas dynamics 629. See also Compressible flow
Gases 3—4
Gauge Functions 360—361
Gauge pressure, defined 9
Gauss' theorem 42—45 77
Geophysical fluid dynamics, approximate equations for thin layer on rotating sphere 562—564
Geophysical fluid dynamics, background information 555—557
Geophysical fluid dynamics, baroclinic instability 615—623
Geophysical fluid dynamics, barotropic instability 613—614
Geophysical fluid dynamics, Ekman layer at free surface 569—574
Geophysical fluid dynamics, Ekman layer on rigid surface 574—577
Geophysical fluid dynamics, equations of motion 559—561
Geophysical fluid dynamics, geostrophic flow 564—569
Geophysical fluid dynamics, gravity waves with rotation 588—591
Geophysical fluid dynamics, Kelvin waves 591—595
Geophysical fluid dynamics, normal modes in continuous stratified layer 579—586
Geophysical fluid dynamics, Rossby waves 608—613
Geophysical fluid dynamics, shallow-water equations 577—579 586—587
Geophysical fluid dynamics, vertical variations of density 557—559
Geophysical fluid dynamics, vorticity conservation in shallow-water theory 595—598
Geostrophic balance 565
Geostrophic flow 564—569
Geostrophic turbulence 623—626
Glauert, M.B. 355
Glowinski scheme 403—404
Goertler vortices 453
Gradient operator 37
Gravity force, effective 102
Gravity waves, at density interface 234—237
Gravity waves, deep water 210—211
Gravity waves, dispersion 203 221—225 248—250
Gravity waves, energy issues 250—253
Gravity waves, equation 194—195
Gravity waves, finite amplitude 230—232
Gravity waves, group velocity and energy flux 218—221
Gravity waves, hydraulic jump 227—229
Gravity waves, in finite layer 238—240
Gravity waves, in stratified fluid 248—250
Gravity waves, internal 245—248
Gravity waves, motion equations 242—245
Gravity waves, nonlinear steepening 225—227
Gravity waves, parameters 196—199
Gravity waves, refraction 212—213
Gravity waves, shallow water 211—213 240—242
Gravity waves, standing 216—218
Gravity waves, Stokes' drill 232—234
Gravity waves, surface 203—209
Gravity waves, surface tension 213—216
Gravity waves, with rotation 588—591
| Group velocity, concept 209 218—227
Group velocity, energy flux and 218—221
Group velocity, of deep water wave 210—211
Group velocity, Rossby waves 611—612
Group velocity, wave dispersion and 221—225
Half-body, flow past a 159—160
Hardy, G.H. 2
Harmonic function 151
Heal flux, turbulent 512
Healing, effects in constant-area ducts 690—694
Heat diffusion 273
Heat equation 108—109
Heat equation, Boussinesq equation and 119—121
Hele — Shaw flow 306—308
Helmholtz vortex theorems 134
Hodograph plot 571
Homogeneous turbulent flow 502
Howard's semicircle theorem 465—467
Hugoniot, Pierre Henry 681
Hydraulic jump 227—229
Hydrostatic waves 212
Hydrostatics 11
Hypersonic flow 664
Images, method of 143 170—171
Incompressible aerodynamics See Aerodynamics
Incompressible fluids 81 96
Incompressible viscous fluid flow 393
Incompressible viscous fluid flow, convection-dominated problems 394—396
Incompressible viscous fluid flow, Glowinski scheme 403—404
Incompressible viscous fluid flow, incompressibility condition 396
Incompressible viscous fluid flow, MAC scheme 396^100
Incompressible viscous fluid flow, mixed finite clement 404—406
Incompressible viscous fluid flow, SIMPLE-type formulations 400—403
Induced/vortex drag 646 649—650
Induced/vortex drag, coefficient 652
Inertia forces 296
Inertial motion 590—591
Inertial period 563 591
Inertial subrange 520—522
Inertia] sublayer 532—534
Inettial circles 591
Inf-sup condition 404
Inflection point criterion, Kayleigh 472 613
Initial and boundary condition error 379
Inner layer, law of the wall 529—531
Input data error 379
Instability, background information 430—431
Instability, barotropic 613—614
Instability, boundary layer 477—478 480—482
Instability, centrifugal (Taylor) 448—453
Instability, destabilizing effect of viscosity 478—480
Instability, double-diffusive 444—448
Instability, haroclinic 615—623
Instability, inviscid stability of parallel flows 471—475
Instability, Kelvin — Helmholtz instability 453—461
Instability, marginal versus neutral state 432
Instability, method of normal modes 431 -432
Instability, mixing layer 475—476
Instability, nonlinear effects 482—483
Instability, of continuously stratified parallel flows 461—467
Instability, Orr — Sommerfeld equation 470—471
Instability, oscillatory mode 432 447—448
Instability, pipe flow 477
Instability, plane Couette flow 477
Instability, plane Poiscuillc How 476—477
Instability, principle of exchange of stabilities 432
Instability, results of parallel viscous flows 475—480
Instability, salt linger 444—447
Instability, sausage instability 494
Instability, secondary 483
Instability, sinuous mode 494
Instability, Squire's theorem 461 467 469—470
Instability, thermal (Benard) 432—443
Integral lime scale 504
Intermittency 522—524
Internal energy 12 108—109
Internal Froude number 268—269
Internal gravity waves 194. See also Gravity waves
Internal gravity waves, at interface 234—237
Internal gravity waves, energy flux 250—253
Internal gravity waves, in stratified fluid 245—253
Internal gravity waves, in stratified fluid with rotation 598—608
Internal gravity waves, WKB solution 600—603
Internal Rossby radius of deformation 594
Intrinsic frequency 198 607
Inversion, atmospheric 19
Inviscid stability of parallel flows 471—475
Irrotational flow 59
Irrotational flow, application of complex variables 152—154
Irrotational flow, around body of revolution 187—189
Irrotational flow, at wall angle 154—156
Irrotational flow, axisymmetric 181—187
Irrotational flow, conformal mapping 171—173
Irrotational flow, doublet/dipole 157—159
Irrotational flow, forces on two-dimensional body 166—170
Irrotational flow, images, method of 143 170—171
Irrotational flow, numerical solution of plane 176—181
Irrotational flow, over elliptic cylinder 173—174
Irrotational flow, past circular cylinder with circulation 163—166
Irrotational flow, past circular cylinder without circulation 160—163
Irrotational flow, past half-body 159—160
Irrotational flow, relevance of 148—150
Irrotational flow, sources and sinks 156
Irrotational flow, uniqueness of 175—176
Irrotational flow, unsteady 113—114
Irrotational flow, velocity potential and Laplace equation 150—152
Irrotational vector 38
Irrotational vortex 66—67 127—130 157
Isentropic flow, one-dimensional 676—679
Isentropic process 17
Isotropic tensors 35 94
Isotropic turbulence 509
Iteration method 176—181
Jets, two-dimensional laminar 350—358
Karman See under von Karman
Kelvin waves, external 591—594
Kelvin waves, internal 594—595
Kelvin — Helmholtz instability 453—461
Kelvin's circulation theorem 130—134
Kinematics, defined 50
Kinematics, Lagrangian and Eulerian specifications 51—52
Kinematics, linear strain rate 56-^57
Kinematics, material derivative 52—53
Kinematics, one-, two-, and three-dimensional flows 68—69
Kinematics, parallel shear flows and 63—64
Kinematics, path lines 55—56
Kinematics, polar coordinates 72—73
Kinematics, reference frames and streamline pattern 56
Kinematics, relative motion near a poiut 60—63
Kinematics, shear strain rate 58
Kinematics, streak lines 56
Kinematics, stream function 69—71
Kinematics, streamlines 53—55
Kinematics, viscosity 7
Kinematics, vortex flows and 65—68
Kinematics, vorticity and circulation 58—60
Kinetic energy of mean flow 512—514
Kinetic energy of turbulent flow 514—517
Kolmogorov microscale 520
Kolmogorov spectral law 266 520—522
Kolmogorov, A.N. 499
Korteweg — deVrics equation 231
Kronecker delta 35—36
Kutta condition 635—636
Kutta — Zhukhovsky lift theorem 165 168—170 635
Kutta, Wilhclm 165 636
Lagrangian specifications 51—52
Lamb surfaces 113
Lamb, Horace 113
Laminar boundary layer equations, Falkner — Skan solution 329—330
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