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Drazin P. — Introduction to Hydrodynamic Stability
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Название: Introduction to Hydrodynamic StabilityАвтор: Drazin P. Аннотация: Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment. They are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography, physics, and engineering. This is a graduate-level textbook to introduce these phenomena by modeling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized with many figures. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differntial equations, complex variable and the elements of fluid mechanics. The book is aimed at graduate students, but is very useful for specialists in other fields.
Язык: Рубрика: Физика /Классическая физика /Механика жидкости и газа /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2002Количество страниц: 258Добавлена в каталог: 19.06.2005Операции: Положить на полку |
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177 1868 Helmholtz 45 151 1871 Kelvin 46 53 54 57 151 1876 Maxwell 59 1879 Oberbeck 95 1879 Rayleigh 62 1880 Kelvin 147 1880 Rayleigh 136 143 144 149 181—183 1880 Stokes 74 1882 Campbell & Garnett 1 1883 Rayleigh 51 60 193 1883 Reynolds 2—4 29 35 54 74 181 1887 Kelvin 186 1890 Helmholtz 54 1892 Rayleigh 168 198 1894 Rayleigh 187 1895 Reynolds 83 84 1900 Benard 93 94 1902 Jeans 44 1903 Boussinesq 95 1907a Orr 184 186 1907b Orr 83 157 1908 Harrison 60 1908 Sommerfeld 157 1909 Bohr 74 1911 Karman 221 233 1915 Jeffery 39 1915 Taylor 144 161 1916 Hamel 39 1916a Rayleigh 93 98 1916b Rayleigh 124 1921 Noether 74 1921 Prandtl 161 1923 Taylor 125 127 129 130 1924 Heisenberg 74 164 176 1927a Sexl 179 1927b Sexl 179 1929 Tollmien 158 159 164 168 173 1931 Goldstein 194 1931 Haurwitz 194 1931 Taylor 194 1932 Lamb 43 44 190 233 234 1933 Schlichting 168 173 1933 Squire 141 1933 Synge 125 135 1934 Dean 40 41 229 1935 Prandtl 161 1935 Tollmien 146 173 1936 Pekeris 199 1938 Synge 162 1938 Taylor 159 1940 Christopherson 112 1940 Gortler 131 133 1940 Pellew & Southwell 108 1944 Landau 20 74 176 208 1945 Horton & Rogers 117 1946 Landau 71 1947 Schubauer & Skramstad 158 173 219 1948 Lapwood 117 1949 Onsager 156 1950 Fj0rtoft 145 1950 Lewis 51 1950 Taylor 51 193 1951 Meksyn& Stuart 176 1953 Thomas 168 1954 Bellman & Pennington 60 1954 Colson 55 1954 Malkus 208 1955 Gregory et al 192 1955 Herivel 155 1955 Lin 9 145 146 1956 Smith & Gamberoni 177 1956 van Ingen 177 1957 Gor'kov 75 1958 Malkus & Veronis 75 1958 Pearson 121 1958 Saffman& Taylor 61 1958 Silveston 101 103 1959 Cesari 37 1959 Raetz 177 1959 Serrin 84 226 1959 Taneda 219 1960 Case 150 1960 Donnelly & Simon 131 1960 Reid 137 1960 Schensted 157 1960 Stem 120 1960 Stuart 75 176 1960 Tatsumi & Gotoh 203 1960a Watson 198 1960b Watson 75 176 1961 Chandrasekhar 9 60 1961 Drazin 202 1961 Howard 146 194 1961 Miles 194 1961 Sorokin 91 1962 Batchelor & Gill 179 182 1962 Davey 128 1962 Fraenkel 18 39 226 1962 Gaster 200 1962 Klebanoff et al. 173 177 219 1963 Fraenkel 226 1963 Lorenz 115 1963a FL Coles 127 1963b FL Coles 127 1964 Abramowitz & Stegun 39 1964 Briggs 71 1964 FL Brown 174 1964 FL Lippisch 174 1964 Harris & Reid 128 129 1964 Howard 189 1965 Coles 211 1965 F Trefethen 65 1965 FL Trefethen 65 1965 Hughes & Reid 197 1965 Joseph 114 1965 Schmid-Burgk 190 1966 Donnelly & Glaberson 65 1966 Eagles 228 1967 Batchelor 16 39 46 158 182 198 220 221 225 1967 Betchov & Criminale 9 1967 F Bryson 57 1967 FL Bryson 57 1967 Kelly 177 1967 Stuart 190 1967 Willis & Deardorff 103 1968 F Long 57 1968 F Mollo-Christensen 59 1968 F Stewart 6 1968 FL Mollo-Christensen & Wille 57 1968 FL Stewart 6 1968 Joseph 163 1968 Thorpe 56 1969 Baines & Gill 122 1969 Goldstein & Graham 98 1969 Joseph 163 1969 Leibovich 195 1969 Morkovin 211 1969 Rossby 101 103 1969 Stone 219 1969 Thorpe 54 1969 Wilson 201 1970 Burridge 182 1970 Matkowsky 76 1971 Busse & Whitehead 109 1971 Craik 177 1971 Ruelle & Takens 213 1972 Palm etal 119 1973 Bouthier 159 1973 Hinch 120 1973 Krishnamurti 103 1973 Romanov 168 1974 Drazin 219 1974 Gaster 159 1975 Drazin 113 1975 Ellingsen & Palm 186 1975 Gull 51 1975 Hocking 197 1975 Kachanov et al. 219 1975 Krishnamurti 110 1975 Nishioka et al. 176 1975 Threlfall 103 1976 Benjamin 208 1976 Gent & Leach 219 1976 Joseph 9 84 1976 Mack 171 1976 Nakamura 225 1977 Swift & Hohenberg 116 1978 Libchaber & Maurer 103 213 1978 Newhouse etal 213 1978 Taneda 225 1978 Warn & Warn 33 1979 Brown & Stewartson 33 1979 Busse & Clever 109 1979 Fenstermacher et al 130 211 1979 Leibovich 195 1979 Oertel & Kirchartz 109 1979 Srulijes 104 1979a Smith 166 1979b Smith 166 1980 Feigenbaum 103 213 1980 Nishioka et al. 175 1980 Pomeau & Manneville 213 1980 Salwen et al. 35 181 1981 Drazin & Reid 9 42 44 57—59 61 66 67 91 100 101 114 121 122 128—131 133 137 166 168 172 177 194 1982 Benjamin & Mullin 130 209 1982 Carlson et al 6 1982 Lundgren 52 1982 Straughan 84 1982 Van Dyke 4 9 100 109 127 128 174 216 217 220 225 1983 Hall 134 1983 Orszag & Patera 176 1984 Beale et al. 154 1984 Neu 53 1984 Saric& Thomas 177 1985 Craik 81 1985 Klaasen & Peltier 55 1985 Thorpe 55 1986 Andereck etal 132 1986 Craik & Criminale 42 186 1986 Krasny 54 1986 Lindzen & Rambaldi 161 1986 Sobey & Drazin 19 226 231 1987 Herron 157 1987 Jackson 221—224 1987 Landau & Lifshitz 9 1987 Provansal et al. 221 224 1988 Banks et al. 40 228 229 231 1988 Bayly et al. 176 177 1988 Boberg & Brosa 207 1988 Herbert 175 1988 Nakayama 9 133 174 220 227 228 230 1989 Drazin 42 1989 Young 173 1989 Yudovich 38 184 186 1990 Huene & Monkewitz 71 219 1990 Kim & Pearlstein 225 1991 King & Stewart 211 1992 Bertolotti etal 159 1992 Butler & Farrell 177 1992 Drazin 116 1992 Saffman 151 154 1993 Koschmieder 105 109 125 130 1993 Natarajan & Acrivos 225 1993 Reddy & Henningson 177 1993 Trefethen et al. 39 206 1994 Baines & Mitsudera 145 1994 Hamadiche et al 232 1994 Kachanov 177 1994 Saric 134 1995 Waleffe 39 196 1996 Baines etal 161 1996 Tutty 232 1996 Williamson 223 1997 Alleborn et al. 227 1997 Dennis etal 231 1998 Eliahou et al 5 1998 Huerre& Rossi 8 1998 Lin & Reitz 66 1998 McAlpine & Drazin 229 231 232 235 2000 CD Homsy 6 9 127 174 216 220 225 2000 Meseguer & Trefethen 181 182 2000 Sobey 226 2001 Barcilon & Drazin 191 2001 Schmid & Henningson 9 172 177 2002 Kerswell et al. 232 A-mode 170 Absolute instability 69 Adiabatic lapse rate 60 Adjoint equation, Orr — Sommerfeld 203 Adjoint equation, Rayleigh 183 Adjoint operator 88 89 203 Adjoint operator for Orr — Sommerfeld problem 203 Adjoint Orr — Sommerfeld equation 203 Adjoint Rayleigh stability equation 183 Airy function 137 165 201 Airy mode 170 Alternative, Fredholm 80 89 Analogy between rotating and stratified flows 123 135 195 Antisymmetric mode 153 189 Approximation, Boussinesq 95 193 194 Approximation, narrow-gap 126 128—130 134 136 Approximation, WKBJ 159 164 219 Asymptotic stability 29 Asymptotic-suction boundary layer, instability of 197 Atmosphere, static stability of 60 Attractor 30 Avoided crossing 42 Axisymmetric parallel flow 178 Basic flow 28 Bickley jet, instability of 188 Bickley jet, marginal Curve for 170 Bifurcation 7 10 11 Bifurcation diagram 12 Bifurcation from infinity 36 Bifurcation point 12 Bifurcation, fold 12 Bifurcation, Hopf 26 27 209 221 232 Bifurcation, pitchfork 13 19 20 102 116 119 209 Bifurcation, saddle-node 12 Bifurcation, transcritical 12 20 35 209 Bifurcation, turning point 12 20 35 209 Billow clouds 54 Biorthogonality 90 Blasius's boundary layer, instability of 158 166 169 170 Blasius's boundary layer, marginal curve for 170 boundary conditions 28 95 Boundary conditions, free-free 98 99 112 Boundary conditions, free-rigid 99 Boundary conditions, rigid-rigid 99 Boundary layer, asymptotic-suction 197 Boundary layer, instability of 169 219 Boundary layer, on a plate, instability of 158 166 170 Boussinesq approximation 95 193 194 Boussinesq equations 95 114 Boussinesq fluid 95 117 Breaking, symmetry 13 21 51 210 211 221 226 232 Broken-line jet, instability of 187 Brunt — Vaisala frequency 194 Buoyancy 42
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