Boundary Integral and Singularity Methods for Linearized Viscous FlowCambridge University Press, 28 Şub 1992 - 259 sayfa The aim of this book is to bring together classical and recent developments in the particular field of Newtonian flow at low Reynolds numbers. The methods are developed from first principles, alternative formulations are compared, a variety of configurations are addressed, the proper mathematical framework is discussed in the context of functional analysis and integral-equation-theory, and procedures of numerical solution in the context of the boundary element method are introduced. The text contains a fair amount of original material pertaining, in particular, to the properties and explicit form of the Green's functions, and the theory of the integral equations that arise from boundary integral representations. |
İçindekiler
I | 1 |
III | 3 |
IV | 7 |
V | 9 |
VI | 14 |
VIII | 16 |
IX | 19 |
X | 22 |
LIV | 116 |
LV | 117 |
LVI | 120 |
LVII | 121 |
LVIII | 124 |
LIX | 127 |
LX | 130 |
LXI | 133 |
XI | 24 |
XII | 29 |
XIII | 30 |
XIV | 31 |
XV | 35 |
XVI | 38 |
XVII | 45 |
XIX | 48 |
XX | 51 |
XXI | 55 |
XXII | 58 |
XXIII | 60 |
XXIV | 61 |
XXV | 62 |
XXVI | 66 |
XXVIII | 68 |
XXIX | 71 |
XXX | 76 |
XXXII | 80 |
XXXIII | 82 |
XXXIV | 84 |
XXXV | 87 |
XXXVI | 88 |
XXXVII | 89 |
XXXIX | 91 |
XL | 93 |
XLII | 94 |
XLIII | 95 |
XLIV | 96 |
XLV | 99 |
XLVII | 100 |
XLVIII | 103 |
XLIX | 104 |
L | 107 |
LI | 109 |
LII | 113 |
LIII | 114 |
LXII | 139 |
LXIII | 141 |
LXIV | 143 |
LXV | 145 |
LXVI | 147 |
LXVII | 148 |
LXVIII | 151 |
LXIX | 155 |
LXX | 156 |
LXXI | 157 |
LXXII | 159 |
LXXIII | 162 |
LXXIV | 163 |
LXXV | 167 |
LXXVI | 171 |
LXXVII | 176 |
LXXVIII | 177 |
LXXIX | 180 |
LXXX | 182 |
LXXXI | 190 |
LXXXII | 192 |
LXXXIII | 196 |
LXXXIV | 198 |
LXXXV | 199 |
LXXXVII | 201 |
LXXXVIII | 202 |
LXXXIX | 203 |
XC | 205 |
XCI | 206 |
XCII | 208 |
XCIV | 210 |
XCV | 212 |
XCVI | 215 |
XCVII | 249 |
257 | |
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
arbitrary axisymmetric biharmonic equation boundary conditions boundary element boundary element methods boundary integral equation boundary integral representation coefficients component compute consider constant corresponding curvature defined density derive disturbance flow divergence theorem domain of flow double-layer potential dS(x eigensolutions eigenvalues equal to zero expression external Faxen relation flow due flow produced force and torque Fredholm integral equation Green's function incident flow infinite infinite flow infinity interface internal flow linear marker points matrix normal vector obtain particle plane wall point xo pole potential dipole Pozrikidis problem radius represents the flow require respect right-hand side rigid body motion rotation single-layer potential singularity representations solution Stokes equation Stokes flow Stokeslet doublet stream function stress tensor stresslet Substituting surface force symmetric Tijk torque torque exerted translation triangle two-dimensional unsteady Stokes flow values vanishes velocity field viscous xo)nx(x Απ дх