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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 |
Laminar flow, creeping flow, around a sphere 297—302
Laminar flow, defined 272
Laminar flow, diffusion of vortex sheet 289—290
Laminar flow, Helen — Shaw 306—308
Laminar flow, high and low Reynolds number flows 295—297
Laminar flow, oscillating plate 292—295
Laminar flow, pressure change 273—274
Laminar flow, similarity solutions 282—288
Laminar flow, steady flow between concentric cylinders 279—282
Laminar flow, steady flow between parallel plates 274—277
Laminar flow, steady flow in a pipe 277—279
Laminar jet 350—358
Laminar shear layer, decay of 371—374
Laminar solution, breakdown of 330—332
Lanchester lifting line theory 646—651
Lanchester, Frederick 636
Laplace equation 150
Laplace equation, numerical solution 176—181
Laplace transform 288
Law of the wall 529—531
Lee wave 606—608
Leibniz theorem 77 78
Lift force, airfoil 633—635
Lift force, airfoil, characteristics for airfoils 653—655
Lift force, airfoil, Zhukhovsky 642—645
Lift theorem, Kutta — Zhukhovsky 165 168—170 635
Lifting line theory, Prandtl and Lanchester 646—651
Lifting line theory, results for elliptic circulation 651—653
Limit cycle 486
Limit cycle, linear strain rate 56—58
Line forces 84
Line vortex 126 290—292
Liquids 3—4
Logarithmic law 531—534
Long-wave approximation See Shallow-water approximation
Lorenz, E., model of thermal convection 488—489
Lorenz, E., strange attractor 489—490
MAC (marker-and-cell) scheme 396—400
Mach angle 694
Mach cone 694—695
Mach line 694
Mach number 227 270 662—663
Mach, Ernst 663
Magnus effect 166
Marginal state 432
Mass transport velocity 234
Mass, conservation of 79—81
Material derivative 52—53
Material volume 78—79
Mathematical order, physical order of magnitude versus 361
Matrices, dimensional 261—262
Matrices, multiplication of 28—29
Matrices, rank of 261—262
Matrices, transpose of 25
Matrix equations 388—390
Mean continuity equation 507
Mean heat equation 511—512
Mean momentum equation 507—508
Measurement, conversion factors 707
Measurement, units of SI 2—3
Mechanical energy equation 104—107
Mixed finite element 404—406
Mixing layer 475—476
Mixing length 536—539
Model testing 266—268
Modeling error 379
Momentum equation, Boussincsq equation and 119
Momentum integral, von Karman 332—335
Momentum principle, for fixed volume 88—91
Momentum principle, for fixed volume, angular 92—93
Momentum, conservation of 86—88
Momentum, diffusivity 273
Momentum, thickness 320—321
Momenuim principle, for control volume 670—671
Monin — Obukhov length 543
Narrow-gap approximation 451
Navier — Stokes equation 97—99 258
Navier — Stokes equation, convection-dominated problems 394—396
Navier — Stokes equation, incompressibility condition 396
Neumann problem 176
Neutral state 432
Newton's law of friction 7
Newton's law of motion 86
Newtonian fluid 94—97
No-slip condition 272
Non-Newtonian fluid 97
Nondimensional parameters, determined from differential equations 257—260
Nondimensional parameters, dynamic similarity and 264—266
Nondimensional parameters, significance of 268—270
Nonrotating frame, vorticity equation in 134—136
Nonuniform expansion 363—364
Nonuniform expansion at low Reynolds number 364
Nonuniformity See also Boundary layers
Nonuniformity, high and low Reynolds number flows 295—297
Nonuniformity, of Stokes' solution 302—306
Nonuniformity, Oseen's equation 303—306
Nonuniformity, region of 364
Normal modes for uniform N 583—586
Normal modes in continuous stratified layer 579—586
Normal modes instability 431—432
Normal shock waves 680—685
Normal strain rale 56—58
Normalized autocorrelation function 503
Nozzle flow, compressible 676—679 685—690
Numerical solution, Laplace equation 176—181
Numerical solution, of plane flow 176—181
Oblique shock waves 696—700
Observed frequency 607
One-dimensional approximation 68
One-dimensional flow, area / velocity relations 676—679
One-dimensional flow, equations for 667—671
Order, mathematical versus physical order of magnitude 361
Ordinary differential equations (odes) 389
Orifice flow 115—117
Orr — Sommerfeld equation 470—471
Oscillating plate, flow due to 292—295
Oscillatory mode 432 447—448
Oseen's approximation 303—306
Oseen's equation 303
Outer layer, velocity defect law 531
Overlap layer, logarithmic law 531—534
Panicle derivative 53
Parallel flows, instability of continuously stratified 461—467
Parallel flows, inviscid stability of 471—475
Parallel flows, results of viscous 475—480
Parallel plates, steady flow between 274—277
Parallel shear flows 63—64
Particle orbit 589—590 603—605
Pascal's law 11
Path functions 13
Path lines 55—56
Perfect differential 175
Perfect gas 16—17
Permutation symbol 35
Perturbation pressure 204
Perturbation techniques 359
Perturbation techniques, asymptotic expansion 361—363
Perturbation techniques, nonuniform expansion 363—364
Perturbation techniques, order symbols/gauge functions 360—361
Perturbation techniques, regular 364—366
Perturbation techniques, singular 366—371
Perturbation vorticity equation 616—618
Petrov — Galerkin methods 387
Phase propagation 612
Phase space 486
Phenomenological laws 6
Physical order of magnitude, mathematical versus 361
Pi theorem, Buckingham's 262—264
Pilot tube 114—115
Pipe flow, instability and 477
| Pipe, steady laminar flow in a 277—279
Pitch axis of aircraft 631
Plane Couette flow 276 477
Plane irrotational flow 176—181
Plane jet, self-preservation 525—526
Plane jet, turbulent kinetic energy 526—528
Plane Poiseuille flow 276—277
Plane Poiseuille flow, instability of 476—477
Planetary vorticity 138 140 563
Planetary waves See Rossby waves
Plastic state 4
Poincare waves 588
Poincare, Henri 492
Point of inflection criterion 336
Poiseuille flow, circular 277—279
Poiseuille flow, instability of 476—477
Poiseuille flow, plane laminar 276—277
Polar coordinates 72—73
Polar coordinates, cylindrical 710—711
Polar coordinates, plane 712
Polar coordinates, spherical 712—714
Potenlial temperature and density 19—21
Potential density gradient 21 541
Potential energy, baroclinic instability 621—623
Potential energy, mechanical energy equation and 106—107
Potential energy, of surface gravity wave 208
potential flow See Irrotational flow
Potential vorticity 597
Potential, complex 153
Prandtl and Lanchester lifting line theory 646—651
Prandtl biographical information 715—716
Prandtl number 270
Prandtl number, turbulent 542
Prandtl — Meyer expansion fan 700—702
Prandtl, Ludwig 2 313
Prandtl, mixing length 536—539
Pressure gradient, boundary layer and effect of 335—336 477—478
Pressure gradient, constant 275
Pressure wave 665
Pressure, absolute 9
Pressure, coefficient 160 260
Pressure, defined 5 9
Pressure, drag 634 654
Pressure, dynamic 115 273—274
Pressure, gauge 9
Pressure, stagnation 115
Pressure, waves 194
Principal axes 40 60—63 64
Principle of exchange of stabilities 432
Profile drag 654
Proudman theorem, Taylor- 567—569
Quasi-geostrophic motion 609—610
Quasi-periodic regime 492
Random walk 549—550
Rankine — Hugoniot relations 681
Rankine, vortex 67—68
Rankine, W.J.M. 681
Rayleigh equation 471
Rayleigh inflection point criterion 472 613
Rayleigh inviscid criterion 448—449
Rayleigh number 433
Reduced gravity 241
Reducible circuit 175
Refraction, shallow-water wave 212—213
Regular perturbation 364—366
Relative vorticity 596
Relaxation time, molecular 12
Renormalization group theories 539
Reversible processes 13
Reynolds analogy 543
Reynolds analogy, decomposition 506—507
Reynolds analogy, experiment on flows 272
Reynolds analogy, similarity 526
Reynolds analogy, stress 508—511
Reynolds analogy, transport theorem 79
Reynolds number 149 259 268 339
Reynolds number, high and low flows 295—297 339 342—345
Reynolds, O. 498
Rhincs length 625—626
Richardson number 269 541—543
Richardson number, criterion 464—465
Richardson number, flux 542
Richardson number, gradient 269 465 542
Richardson, L.F. 499
Rigid lid approximation 584—586
Ripples 216
Roll axis of aircraft 631
Root-mean-squarc (rms) 502
Rossby number 565
Rossby radius of deformation 594
Rossby waves 608—613
Rotating cylinder, flow inside 281—282
Rotating cylinder, flow outside 280—281
Rotating frame 99—104
Rotating frame, vorticity equation in 136—140
Rotation tensor 61
Rotation, gravity waves with 588—591
Rough surface turbulence 534
Runge — Kutta technique 326 389
Sailing 656—658
Salinity 20
Salt finger instability 444—447
Scalars, defined 24
Scale height, atmosphere 21
Schlieren method 663
Schwartz inequality 503
Sciebe 217
Second law of thermodynamics 14—15
Second law of thermodynamics, entropy production and 109—110
Second-order tensors 29—31
Secondary flows 358—359 453
Secondary instability 483
Self-preservation, turbulence and 524—526
Separation 336—339
Shallow-water approximation 240—242
Shallow-water equations 577—579
Shallow-water equations, high and low frequencies 586—587
Shallow-water theory, vorticity conservation in 595—598
Shear flow, wall-bounded 528—536
Shear flow, wall-free 522—528
Shear production of turbulence 514 517 517—520
Shear strain rate 55
Shock angle 696
Shock waves, normal 680—685
Shock waves, oblique 696—700
Shock waves, structure of 684—685
SI (systeme international d'unites), units of measurement 2—3
SI (systeme international d'unites), units of measurement, conversion factors 707
Similarity See also Dynamic similarity
Similarity solution 257
Similarity solution for boundary layer 323—330
Similarity solution for impulsively started plate 282—288
Similarity solution for laminar jet 350—358
Similarity solution, decay of line vortex 290—292
Similarity solution, diffusion of vortex sheet 289—290
Similarity, geometric 258
Similarity, kinematic 258
SIMPLE-type formulations 400—403
SIMPLER formulation 406—414
Singly connected region 175
Singular perturbation 366—371 477
Singularities 15.1
Skan, S.W. 329
Skin friction coefficient 328—329
Sloping convection 622
Solenoidal vector 38
Solid-body rotation 65—66 127
Solids 3—4
Solilons 231—232
Sonic conditions 672
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