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Fluegge S. (ed.) — Encyclopedia of physics. Vol. 9. Fluid dynamics III
Fluegge S. (ed.) — Encyclopedia of physics. Vol. 9. Fluid dynamics III

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Название: Encyclopedia of physics. Vol. 9. Fluid dynamics III

Автор: Fluegge S. (ed.)

Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1960

Количество страниц: 760

Добавлена в каталог: 06.05.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\delta$ function      289 599 602 637
A priori bounds of existence theory      401 415
Accelerated flow with cavity of constant shape      358 360
Accelerated fluid, stability problems      648 651 653
Acceleration of fluid      236 238
Acceleration of the piston      246 247
Acceleration potential      284 298
Accolade (shape of obstacle)      374 379 408
Added masses in ship theory      567
Adiabatic flow of an ideal gas      6 8 61-62
Affine transformation      30
Air-water interface, parameters      645 650
Airfoil nose-shock      244 271 274
Airfoil of delta shape      52 54
Airfoil, supersonic flow      244 253 274
Airfoil, thin, in linearized subsonic flow      32 33 34
Airfoil, thin, in linearized supersonic flow      43 45
Airfoil, thin-wing integral equation      584 590
Airy functions      487 511 600
Analytic continuation across a free streamline      348
Analytic continuation of solutions      65 73
Aperture of a surface wave system      488 489
Archimedes’ law      565
Asymmetric channel flow      413
Asymptotic behavior of free streamlines      375 378
Asymptotic behavior of the velocity potential      98 101
Asymptotic expansion for late times      472 510 512
Asymptotic shape of axially symmetric cavity      377
Asymptotic width zero of cavity      332 376
Average position of wave crest      508 509
Axially symmetric cavity flow, approximation      366 368
Axially symmetric cavity flow, existence theory      394 405
Axially symmetric cavity, asymptotic shape      377
Axially symmetric free surface flow      353
Axially symmetric jet flow      434
Axially symmetric potential flow      11 13 14 22 24
Axially symmetric Riabouchinsky cavity      337
Axially symmetric supersonic flow      274
Banach space      119 121 400
Barrier in a long canal      527 529
Basin of circular planform, shallow-water approximation      672
Basin of rectangular form, shallow-water approximation      671
Basin with elastic restoring forces      628
Basin with sloping side-walls, waves      624 627
Basins of different shape      623
Basins, infinitesimal waves      620 631
Beach, waves on it      537 542 545 547 551
Bergman’s series development of hodograph equation      67 73 77
Bernoulli’s equation      5 6 56 93 164 165 179 449 454
Bernoulli’s equation in the gravity field      320
Bernoulli’s equation, linearization      28
Bernoulli’s law for non-steady flow      285
Betz inversion formula      36
Bi-characteristic, definition      25
Blockage effect in water tunnels      344
Body of revolution, submerged      577
Borda mouthpiece      340 342 431
Bottom covered with dipole sources      571
Bottom, irregular      569 571
Boundaries of basins, special selection      622
Boundary conditions at a beach      537 548
Boundary conditions at a free surface      320 454
Boundary conditions at a rigid surface      454 455
Boundary conditions at an interface      451 455
Boundary conditions at infinity      471 472
Boundary conditions for capillary-gravity waves      631 632
Boundary conditions on wing surface      288 291
Boundary point lemma of elliptic equations      381
Boundary value problem of Frankl      137 253 261 267 269
Boundary value problem on characteristics      233 255 257 268
Branch-type singularity      236
Branching into two jets      342
Breaking of wave crest      681
Breakwaters      544 545
Brillouin conditions of cavity flow      322 373
Brouwer’s fixed point theorem      121
Canal theory of tides      669
Canal waves of long wavelength      669
Canal waves of long wavelength, bounded canal      670 681
Canal, wave resistance of a ship in it      581
Canonical form of a hyperbolic equation      691
Capillary waves, existence theorem      757
Capillary-gravity waves      511 614 631 638
Capillary-gravity waves of large amplitudes      746 749
Capillary-gravity waves, generated by a point sources      636 637
Capillary-gravity waves, initial-value problem      614 631 636
Capillary-gravity waves, orbits in second-order infinitesimal wave approach      661
Capillary-gravity waves, velocity      514 614
Carriage containing water, periodic motion      628
Cauchy initial value problem      232 2 4 257 268
Cauchy principal value of an integral      476
Cauchy — Poisson initial value problem      603 607 614
Cauchy — Poisson initial value problem for superposed fluids      614
Cauchy — Poisson initial value problem with surface tension      614 631
Cauchy — Riemann equations      12 470
Cauchy’s integral      534
Cavitating hydrofoil      586- 587-
Cavitation      312
Cavitation experiments in water tunnel      312 315 344
Cavitation number or cavitation parameter      312 323
Cavity      312
Cavity dimensions      314
Cavity flow      312
Cavity flow, plane, linearization      364 366
Cavity of asymptotic width zero      332 376
Cavity of constant shape in accelerated flow      358 360
Cavity pressure      312 316
Cavity shape      323
Cavity, finite      324
Cavity, infinite      322 328 331
Ch$\acute{e}$zy formula of hydraulics      697
Chaplygin — Molenbroek transformation      58 61
Chaplygin’s correspondence principle      346
Chaplygin’s equation      60
Chaplygin’s equation, solution by separation      62 65
Chaplygin’s equation, solution depending on an arbitrary analytic function      65 67
Characteristic boundary value problem      233 255 257 268
Characteristic diagram of Prandtl and Busemann      90
Characteristic invariants      234
Characteristic strip      15
Characteristic variable      1 7 246
Characteristics      16 22 229 254
Characteristics in shallow-water theory      676 677seq.
Characteristics, their role in linearized theory      226 252 279 281
Chord of a supersonic profile      48
Circular cylinder, horizontal reflection of surface waves      528
Circular cylinder, submerged      574 577
Circular cylinder, vertical, diffraction of surface waves      544
Circular orbits in ocean waves      499 501
Circular orbits of first-order infinitesimal wave theory      499 501
Circular orbits, modifications by second-order infinitesimal wave theory      660 665
Circular wing      297
Circular-cylinder basin, shallow-water approximation      672
Circular-cylinder basin, vertical motion      651 653
Circular-cylinder basin, waves      623
Circulation      4 71 101
Circulation theorem of Helmholtz and Kelvin      4
Cisotti’s differential-difference equation      611
Cnoidal wave      462 654 667 702 707
Cnoidal wave, existence theorems      751-753
Cnoidal wave, limiting height      712
Cnoidal wave, second approximation to its profile      709
Comer, supersonic flow around it      20 22
Comparison theorems      3 80-383 407
Complex variables fox infinitesimal surface waves      470-471
Complex velocity      35 471
Complex velocity potential      470 480 489 505
Complex velocity potential for finite depth      482 490 494 495
Composite wave, second-order infinitesimal wave theory      662
Compressibility law      173
Compressible fluid jet      311
Computation of axially symmetric flows      421 438
Computation of plane flow past obstacles      416 420
Cone, impact on a water surface      361 362
Confluence of two jets      342
Confluent hypergeometric functions      613
Conical flow, shock waves      88 192
Conical supersonic flow      22 24 49 52
Conservation laws in subsonic flow      121-122
Continuity equation      2 228 249 283 448 450
Continuity method in uniqueness theory      409 413
Contraction coefficient      317 318 340 342 383 423
Control contour      129
Convolution theorem      492
Coordinate choice for surface waves      447 456 466 475 485
Correspondence principle of Chaplygin      346
Critical depth for capillary-gravity waves      633
Critical free stream Mach number      121 125
Critical frequencies of canal waves      502
Critical speed      7
Critical velocity for long waves      669 676 713
Crocco’s equation      4 250
Curvature by thin fluid layer covering surface      646
Curvature equation      400 401
Curvature of a free streamline at detachment      372
Curvature of a stream line      259
Curvature of free streamline      322
Curvature of waves in viscous fluids      639 646 651
Curved boundary, method of continuity      413
Curved shock      274
Cusped cavity      338 397
Cylinder      see circular cylinder
Cylinders of any cross section, submerged      576
Cylindrical coordinates for surface waves      485
Dam breaking      681
Damping coefficients in ship theory      567
Delta wing      52 54
Dependence domain      40
Depth of water      see also Finite depth
Depth of water, determination      673
Detachment of a free streamline      322 323 371 375
Differential equations of elliptic type      16 29 93 94 99 209 667 683
Differential equations of elliptic-hyperbolic type      93 101 135
Differential equations of hyperbolic type      16seq. 22 29 42 93 135 209 667 673 683 691
Differential equations of mixed type      93 101
Differential equations of the velocity potential      6
Differential equations of the velocity potential, its three-dimensional explicit solutions      8 11
Differential equations of the velocity potential, plane flow      11
Differential equations of Tricomi      81 431 133 150
Differential inequality for velocity fields      123
Differential-difference equation of Cisotti      611
Differential-difference equation of Levi — Civita      726-727-
Diffraction of water waves by a freely floating body      566 567
Diffraction of water waves by a horizontal cylinder      545
Diffraction of water waves by a vertical cylinder      544
Diffraction of water waves by a vertical half-plane      544 560
Diffraction of water waves, general obstruction      543
Dimensional analysis in initial value problems      610 611
Dimensional perturbation      421
Dipole approximating bow and stern of a ship      582
Dipole singularity      484 487 489 577
Dipole source covering bottom      571
Dirichlet integral      97
Dirichlet’s boundary problem      12 108
Discharge coefficient      317-318
Discharge rate      569
Discontinuities on characteristics      15 16 22
Discrete curvature equations      416 420
Dispersion law of capillary-gravity waves      614 633
Dispersion relations of surface waves      502 507 513 515 518 550
Dissipation of waves in viscous fluids      639
Dock problem      527 536 537 545
Domain of dependence      40
Domain of influence      19 40 233 256
Dominating function      74
Drag      34 48
Drag coefficient of the disk, computation      425 427
Drag coefficient, dependence on cavitation parameter      313
Drag in infinite cavity flow      329 331 376
Drag measurements, cavitation influence      312
Drag minimum from cavity formation      386
Drag of a flate plate      329 330 333
Drag of a hydrofoil      586
Drag of Riabouchinsky cavity      336 389
Droplet formation from a jet      326
d’Alembert solution of the wave equation      16 669
D’Alembert’s paradox      31
Edge wave of Stokes type      550
Edge wave of Ursell type      551
Efflux of a plane jet      341 (see also Discharge)
Eigenvalues of basin waves      623 627 630 652
Eigenvalues of modes in a bounded canal      670 671
Elastic medium and fluid, interface      455
Elastic restoring forces of a movable basin      628
Ellipsoid, submerged      577
Elliptic differential equation      16 29 93 94 99 209 667 683
Elliptic functions of Jacobi      706seq.
Elliptical orbits of first-order infinitesimal wave theory      500 501
Elliptical orbits, modifications by second-order infinitesimal wave theory      661
Energy flux in surface wave      519
Energy integral      135
Energy integral for free surface motion      718 721
Energy of surface waves      458 460
Energy propagation in surface waves      515 522
Energy propagation in surface waves, second-order infinitesimal wave theory      661
Enthalpy      3 250
Enthalpy of adiabatic ideal gas flow      6
entropy      3 167 193
Entropy of an in viscid gas      240 242 272 283
Entropy variation in gas flow      240 249 272 274
Envelope of characteristics      see limit line
Epicycloids as principal curves      89
Epicycloids in hodograph plane      686 692 694 701
Equation of continuity      2 228 249 283 448 450
Equation of state      229 240 249 251 273 283 449
Equation of variations      414
Equations of motion      228 249 283 448 450
Escape velocity (into vacuum)      6
Estimates in subsonic flow      125 128
Eulerian derivative      2
Eulerian description      447
Evvard type equation      305 306
Exact solutions in surface wave theory      714 757
Existence of jet flow      392
Existence of solutions approached by infinitesimal waves      654
Existence proof for the cnoidal wave      462 668
Existence proof for the initial value problem      19
Existence proof for the solitary wave      462 668
Existence theorem for capillary waves      757
Existence theorems for subsonic flow      108 111 115 119
Existence theorems for surface waves      749 757
Existence theorems for transonic flow      138 145
Existence theory in free boundary flow      39 406
Expansion parameter of shallow-water theory      462 667 704
Experimental investigation of capillary dispersion      633 634
Explosion      211
Explosion under water      619
Fifth-order infinitesimal wave approach for progressive waves      663 665
Finite cavity      324
Finite cavity for the disk      427
Finite depth for progressive ocean waves      499
Finite depth for standing ocean waves      496 498
Finite depth, complex velocity potential      482 490 494 495
Finite depth, effect on wave profile      659 660
Finite difference approximation      43 5
Finite part of a divergent integral (Hadamard definition)      42 303
Finite-amplitude waves      see also Solitary and Cnoidal waves
Finite-amplitude waves, limiting height      703 712
Finn — Gilbarg extension of the maximum-minimum principle      95 97 107
First-order shallow water approximation      467 469
1 2 3 4
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