List of Biographies Name Figure Nr. Page Nr. Archimedes Fig. 2.19 37 Grigory Isaakovich Barenblatt Fig. 10.20 616 Henri-Émile Bazin Fig. 10.10 595 Daniel Bernoulli Fig. 3.22 93 Friedrich Wilhelm Bessel Fig. 8.13 452 Paul Richard Heinrich Blasius Fig. 9.19 516 Jean-Charles de Borda Fig. 3.40 122 Jacques Antoine Charles Bresse Fig. 3.49 134 Baron Augustin-Louis Cauchy Fig. 3.63 150 Elwin Bruno Christoffel Fig. 6.35 317 Benoit Paul Émile Clapeyron Fig. 7.30 413 Gaspard-Gustave de Coriolis Fig. 8.10 443 Maurice Marie Alfred Couette Fig. 7.12 380 Henry Philibert Gaspard Darcy Fig. 10.9 594 Paul Adrein Maurice Dirac Fig. 5.5 212 Johann Peter Gustav Lejeune Dirichlet Fig. 8.2 428 Vagn Walfrid Ekman Fig. 8.8 441 Hans Ertel Fig. 4.14 189 Leonhard Euler Fig. 3.19 88 Ferdinand Georg Frobenius Fig. 7.31 417 William Froude Fig. 7.25 399 Johann Carl Friedrich Gauss Fig. 5.1 200 George Green Fig. 5.2 201 Gotthilf Heinrich Ludwig Hagen Fig. 7.8 362 Oliver Heaviside Fig. 8.20 466 Hermann Ludwig Ferdinand von Helmholtz Fig. 4.10 176 Karl Hiemenz Fig. 9.2 491 Carl Gustav Jacob Jacobi Fig. 5.26 251 Nikolai Yergorowich Joukowski Fig. 3.56 142 © Springer International Publishing Switzerland 2016 621 K. Hutter and Y. Wang, Fluid and Thermodynamics, Advances in Geophysical and Environmental Mechanics and Mathematics, DOI 10.1007/978-3-319-33633-6 622 List of Biographies Name Figure Nr. Page Nr. Theodore von Kármán Fig. 9.15 509 Gustav Robert Kirchhoff Fig. 3.42 124 Martin Wilhelm Kutta Fig. 3.54 140 Josph-Louis Lagrange Fig. 5.23 246 Pierre-Simon Laplace Fig. 5.12 221 Gottfried Wilhelm Leibniz Fig. 3.12 74 Louis Melville Milne-Thomson Fig. 6.23 304 Richard von Mises Fig. 3.43 125 Claude-Louis Navier Fig. 7.3 357 Franz Ernst Neumann Fig. 5.13 222 Carl Gottfried Neumann Fig. 5.14 223 Isaac Newton Fig. 3.17 84 Johann Nikuradse Fig. 10.13 600 Blaise Pascal Fig. 2.9 28 George W. Platzman Fig. 8.16 459 Karl Pohlhausen Fig. 9.29 545 Jean Léonard Poiseuille Fig. 7.7 361 Siméon Denis Poisson Fig. 8.6 435 Joseph Proudman Fig. 4.13 187 Markus Reiner Fig. 7.2 355 Georg Friedrich Bernhard Riemann Fig. 5.27 252 Carl David Tolmé Runge Fig. 3.55 141 Karl Hermann Amandus Schwarz Fig. 6.34 316 George Gabriel Stokes Fig. 7.4 358 Evangelista Torricelli Fig. 3.30 107 Erich Immanuel Trefftz Fig. 6.20 300 Name Index A Bohlen, 488, 545, 549 Abel, 223 Boltzmann, 407 Abraham, 428 Bonham-Carter, 458 Abramowitz, 330, 451, 453 Borda, 59, 121–123, 172, 173, 311, 315 Aczel, 442 Boussinesq, 432, 481, 580, 603, 604, 619 Ahlfors, 273 Bowden, 456, 457 Aksel, 333 Bresse, 134 Allen, 619 Brown, 363 Appleton, 466 Buat, 619 Archimedes, 36–39, 51, 54 Buat-Nançay, 592 Athenaeus, 37 Buckingham, 614 B C Baral, 419 Caratheodory, 273 Barenblatt, 615–619 Carnot, 3, 128–131, 135, 311, 612 Bartholdy, 428 Catherine, 88 Batchelor, 364, 425, 468 Cauchy, 16, 58, 149–152, 160, 161, 179, 252, Bateman, 425 256, 278, 351, 357, 398 Bazin, 580, 592, 595 Chorin, 619 Becker, 7, 438 Christoffel, 316, 317, 320–323, 325, 327, 330, Belcher, 561 331 Benton, 511, 512 Chugunov, 419 Berker, 425 Clapeyron, 413, 414 Bernoulli, 2, 59, 79, 88, 92–95, 97–103, 105, Clausius, 3, 414 106, 109–113, 115, 116, 122–125, 130, Clebsch, 223 131, 133, 135, 137, 142, 154, 174, 175, Cochran, 511–513 215, 237, 239–241, 261, 262, 284, 288, Colebrook, 601 309, 312, 488, 495, 500, 550, 587, Colins, 558, 561 609–611 Cooper, 455–457 Bessel, 451, 452 Coppel, 503 Bingham, 8–10, 355 Coriolis, 15, 49, 160, 167, 169, 185, 442, 443, Bjerknes, 441 456 Blasius, 288–290, 295, 487, 506, 516–519, Cosserat, 161 522, 523, 533, 535–537, 542, 543, 550, Couette, 379–381, 383, 391, 579 558–560, 568, 569, 571–573, 592, 598, Csanady, 456–458 599, 601, 619 © Springer International Publishing Switzerland 2016 623 K. Hutter and Y. Wang, Fluid and Thermodynamics, Advances in Geophysical and Environmental Mechanics and Mathematics, DOI 10.1007/978-3-319-33633-6 624 Name Index D Glen, 8, 370 d’Alembert, 24, 47, 221, 295 Goldstein, 558 Darcy, 579, 592, 594 Goy, 369 De Prony, 592 Graham, 369 De Waele, 8, 369 Green, 160, 179, 199, 201, 206, 207, 228, 230, Dennis, 558, 561 245, 364 Descartes, 88 Greve, 406 Dijkstra, 514 Dirac, 211, 212 Dirichlet, 225, 251, 252, 317, 427–429, 618 H Dombroklonskiy, 457 Hagen, 360, 362, 429, 480, 579, 583, 584, Dorsey, 362 586–589, 591, 593, 598 Drazin, 425, 432, 433, 480 Hagenbach-Bischoff, 361 Driscoll, 273 Hager, 69, 132, 288, 399, 516 Dryden, 425 Halley, 247 Dulong, 443 Hartree, 502–504, 506 Heaps, 449, 454–458 Heaviside, 465, 466 E Helmholtz, 175–177, 185, 188, 190, 250 Euler, 175 Henrici, 273 Einstein, 363, 364 Hensel, 428 Ekman, 440, 441, 445–450, 453–458, 480 Hertz, 466 Ellison, 453 Herwig, 487 Engler, 619 Hess, 67 Ertel, 188, 189 Hidaka, 458 Euler, 2, 5, 17, 49, 62, 64, 86–89, 91–93, 95, Hide, 188 156, 157, 162, 165, 185, 247, 273, 353, Hiemenz, 490, 491, 496, 497, 561 366, 446, 453 Hieron II, 37 Eytelwein, 592, 619 Hilbert, 300 Hobbes, 107 Hoff, 7 F Holstein, 488, 545, 549 Falkner, 490, 502–504, 517, 523 Homann, 496, 497 Fermat, 150 Hooke, 6, 8, 85 Finlayson, 432 Hospital, 550 Fitzgerald, 466 Howarth, 465, 467, 559–561 Fjeldstad, 457, 458 Huber, 579 Foristall, 458 Hunt, 124 Foucault, 443 Hussaini, 503, 523 Fourier, 428, 440, 463, 482 Hutter, 8, 9, 11, 12, 159, 179, 411, 438, 458 Frauenfelder, 579 Frederick, 247 Friedrich, 88 I Frobenius, 416, 417 Isenberg, 586 Froude, 132, 398, 399 J G Jacobi, 222, 250–252, 330, 476 Galilei, 107, 357, 587 Jefferey, 364 Gauss, 24, 38, 78, 91, 117, 119, 152, 199–201, Jöhnk, 179 203, 204, 206, 228, 265, 267 Johnson, 419, 559, 560 Gedney, 458 Jones, 456, 457 Gersten, 487, 488, 549, 553 Joukowski, 58, 140, 142, 144, 145, 263, 289, Gittler, 488 291, 292, 295, 297–300 Name Index 625 K N Katz, 188 Nansen, 441 Kelvin, 3, 165, 166, 172, 174, 231, 407, 466 Navier, 124, 356–358, 365, 366, 371, 425, 443, Kepler, 84 459, 465, 474, 487, 505, 529, 581, 583, Kirchhoff, 123, 124, 200, 311, 314 589 Kirchner, 419 Neumann, 222, 223, 225, 229, 251 Kneller, 84 Newton, 2, 6, 8, 52, 54, 74, 84, 85, 87–89, 109, Knopp, 273 117, 146, 351, 356, 359, 360, 369, 371, Knudt, 568 378, 379, 382, 388, 389, 392, 398, 416, Koebe, 300 419, 425, 507, 508, 527, 580, 583, 587, Kolmogorov, 616 592, 604 Kronecker, 141 Nigam, 512 Kummer, 141, 316 Nikuradse, 592, 599–601, 605–607, 617, 619 Kutta, 58, 140–142, 144, 145, 263, 289, 291, Noll, 179 292, 295, 297–300 Norton, 7, 370 Npoleon, 247 L O Lacomb, 458 Olver, 273, 291, 292 Lagerstrom, 425 Ostwald, 396 Lagrange, 85, 246 Lai, 457 Lakin, 503, 523 P Lamb, 187 Pannel, 598, 599 Lanchaster, 145 Pascal, 27, 28 Landau, 468 Pearce, 455–457 Laplace, 16, 207, 221, 229, 232, 365, 427, 481, Peter, 88 533 Petrow, 396 Laurent, 289 Piau, 380 Lehmann, 74 Piola, 124 Leibniz, 74, 75, 80, 81, 85, 88, 93, 191, 410 Platzman, 458, 459 Lick, 458 Pohlhausen, 545, 546 Love, 124 Poiseuille, 360, 362, 378, 389, 429, 480, 579, 583, 584, 586–589, 591, 593, 598, 601, 602, 618 Poisson, 199, 206, 209, 216, 224, 232, 425, M 427, 429, 434, 435, 481, 618 Madsen, 450, 452, 454, 455 Prandtl, 103, 104, 145, 288, 300, 429, 430, Mallock, 381 450, 456–458, 487, 497, 529, 546, 580, Mariotte, 108, 109 585, 586, 592, 599, 601, 603, 604, 606, Maupertuis, 247 607, 615, 619 Maxwell, 201, 466 Prien, 69 Mayer, 3 Prony, 619 McLaurin, 532 Proudman, 187, 433, 559, 560 McLeod, 514 Pythagoras, 297 McMeeking, 419 Mendelsohn, 428 Michel, 396 R Miclav˘ci˘c, 512, 514 Rao, 457 Milne-Thomson, 303, 304, 312, 314, 315 Rayleigh, 465, 467, 568, 569, 573 Möller, 173 Reiner, 7, 8, 354–356, 369 Moody, 601, 602 Reynolds, 58, 145, 146, 152, 358, 396, 456, Murnaghan, 425 473, 475, 477–480, 497, 505, 534, 562, 626 Name Index 579, 580, 589, 598, 599, 601, 605, 606, Toupin, 188 610, 618 Treder, 188 Ricatti, 5, 93 Trefethen, 273 Riemann, 150, 252, 256, 277–279, 287, 291, Trefftz, 298–302 316, 317, 322 Trösch, 8, 9, 11, 12 Riley, 425, 432, 433, 480, 558–561 Truesdell, 179, 188, 425 Rivlin, 8, 355 Riwlin, 8, 354–356 Robbin, 559 U Robins, 560, 561 Unger, 438 Rosenhead, 558 Rowell, 432 Runge, 140, 141, 300 V Venn, 88 Vitruvius, 37 S Von Humboldt, 251 Saint-Venant, 425, 580 Von Kármán, 69, 298, 299, 301, 302, 450, 491, Schlichting, 425, 488, 549, 553 509–514, 545, 546, 592, 601, 605, 607, Schneider, 488 619 Schröder, 188 Von Mises, 124, 125, 300 Schukowski, 142 Schwarz, 316, 320–323, 325, 327, 330, 331, 436 W Segner, 153–156, 162 Walz, 551, 552 Serrin, 514 Wang, 425, 512, 514 Shanahan, 273, 330, 332 Watson, 330 Shaw, 273 Weatstone, 466 Sherman, 468 Weber, 200 Skan, 490, 502–504, 517, 523 Weierstrass, 141, 316 Sommerfeld, 396 Weisbach, 594 Spurk, 333 Squire, 468 Weiss, 222 Stanton, 598, 599 Welander, 458 Stegun, 330, 451, 453 Weyl, 503, 523 Stein, 74 Wheeler, 434 Steiner, 34, 252 White, 601 Stokes, 6, 138, 139, 163, 169, 171, 172, 199, Whitham, 425 205, 218, 227, 228, 267, 269, 356–358, Whittaker, 330 360, 365, 366, 371, 387, 419, 425, 459, Wilshinsky, 419 461, 465, 474, 487, 505, 529, 581, 583, Witten, 457, 458 589 Svensson, 455 Y Young, 5 T Taylor, 53, 54, 101, 187, 211, 257, 300, 303, 364, 381, 383, 416, 448, 616 Z Thirot, 512 Zandbergen, 514 Thomas, 457, 458 Zhukowsky, 142 Thomson, 201 Zill, 273, 330, 332 Torricelli, 28, 106–109, 587, 589 Zima, 396 Subject Index A of energy, 113, 129, 407 Acceleration, 24, 47, 49 of hydrostatic pressure, 400, 444 absolute, 48 of internal energy, 414 centripetal, 49, 51 of kinetic energy, 564 Corilis, 48 of linear momentum, 59, 83, 147, 152, 168, Euler, 49 363 guiding, 48 of mass, 31, 59, 71, 73, 75–79, 92, 125, of a particle, 61 135, 176, 186, 190, 259, 352, 353, 364, relative, 48 410, 426, 488, 583 Acceleration distance, 587