Low Reynolds number hydrodynamics: with special applications to particulate mediaOne studying the motion of fluids relative to particulate systems is soon impressed by the dichotomy which exists between books covering theoretical and practical aspects. Classical hydrodynamics is largely concerned with perfect fluids which unfortunately exert no forces on the particles past which they move. Practical approaches to subjects like fluidization, sedimentation, and flow through porous media abound in much useful but uncorrelated empirical information. The present book represents an attempt to bridge this gap by providing at least the beginnings of a rational approach to fluid particle dynamics, based on first principles. From the pedagogic viewpoint it seems worthwhile to show that the Navier-Stokes equations, which form the basis of all systematic texts, can be employed for useful practical applications beyond the elementary problems of laminar flow in pipes and Stokes law for the motion of a single particle. Although a suspension may often be viewed as a continuum for practical purposes, it really consists of a discrete collection of particles immersed in an essentially continuous fluid. Consideration of the actual detailed boundary value problems posed by this viewpoint may serve to call attention to the limitation of idealizations which apply to the overall transport properties of a mixture of fluid and solid particles. |
Contents
III | 1 |
IV | 8 |
V | 13 |
VI | 23 |
VII | 29 |
VIII | 30 |
IX | 31 |
X | 33 |
LXIV | 220 |
LXV | 235 |
LXVI | 240 |
LXVII | 249 |
LXVIII | 270 |
LXIX | 273 |
LXX | 276 |
LXXI | 278 |
XI | 40 |
XII | 47 |
XIII | 49 |
XIV | 51 |
XV | 52 |
XVI | 58 |
XVII | 62 |
XVIII | 71 |
XIX | 79 |
XX | 85 |
XXI | 88 |
XXII | 96 |
XXIII | 98 |
XXIV | 99 |
XXV | 100 |
XXVI | 102 |
XXVII | 103 |
XXVIII | 106 |
XXX | 107 |
XXXI | 108 |
XXXII | 110 |
XXXIII | 111 |
XXXIV | 116 |
XXXV | 117 |
XXXVI | 119 |
XXXVII | 123 |
XXXVIII | 124 |
XXXIX | 125 |
XL | 127 |
XLI | 130 |
XLII | 133 |
XLIII | 138 |
XLIV | 141 |
XLV | 145 |
XLVI | 149 |
XLVII | 150 |
XLVIII | 153 |
XLIX | 154 |
L | 156 |
LII | 159 |
LV | 163 |
LVI | 169 |
LVII | 173 |
LVIII | 183 |
LIX | 192 |
LX | 197 |
LXI | 205 |
LXII | 207 |
LXIII | 219 |
LXXII | 281 |
LXXIII | 286 |
LXXIV | 288 |
LXXV | 298 |
LXXVI | 322 |
LXXVII | 331 |
LXXVIII | 340 |
LXXIX | 341 |
LXXX | 346 |
LXXXI | 354 |
LXXXII | 358 |
LXXXIII | 360 |
LXXXIV | 371 |
LXXXV | 387 |
LXXXVI | 400 |
LXXXVII | 410 |
LXXXVIII | 417 |
LXXXIX | 422 |
XC | 431 |
XCI | 438 |
XCII | 443 |
XCIII | 448 |
XCIV | 456 |
XCV | 462 |
XCVI | 469 |
XCVII | 474 |
XCVIII | 477 |
XCIX | 480 |
C | 481 |
CI | 483 |
CII | 486 |
CIII | 488 |
CIV | 490 |
CVI | 494 |
CVII | 495 |
CVIII | 497 |
CIX | 500 |
CX | 501 |
CXI | 504 |
CXII | 508 |
CXIII | 509 |
CXIV | 512 |
CXV | 516 |
CXVI | 519 |
CXVII | 521 |
CXVIII | 524 |
CXIX | 537 |
543 | |
Other editions - View all
Low Reynolds Number Hydrodynamics: With Special Applications to Particulate ... John Happel,Howard Brenner No preview available - 1965 |
Common terms and phrases
applied approximation arbitrary assemblage assumed axes axis body boundary conditions cartesian Chem circular cylinder coefficient components concentration constant coordinate surfaces coordinate system corresponding cosh creeping motion equations curvilinear coordinates dilute direction disk distance drag dyadic effects ellipsoid employed energy dissipation experimental expression Faxen fluidization follows formula given by Eq h₂ harmonic hydrodynamic inertial infinite infinity integration involving isotropic K₁ line of centers Navier-Stokes equations obtained origin orthogonal Oseen parallel perpendicular Phys plane wall Poiseuille flow pressure drop problem radius relation relationship relative relative viscosity resistance Reynolds numbers rotation satisfied scalar Section sedimentation settling velocity shear solid solution spherical coordinates spherical harmonic spherical particles spheroid Stokes stream function surface suspension symmetry tensor theoretical torque translation treatment unit vectors V₁ values vanish velocity field viscosity volumetric flow rate Σ Σ дак др ду дх