Low Reynolds number hydrodynamics: with special applications to particulate media

Front Cover
Springer Science & Business Media, Sep 30, 1983 - Science - 553 pages
One 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
LXII
220
LXIII
235
LXV
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LXVI
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LXVII
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LXVIII
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LXIX
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LXX
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XI
40
XII
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XIII
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XIV
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XV
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XVI
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XVII
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XVIII
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XIX
79
XX
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XXI
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XXII
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XXIII
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XXIV
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XXV
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XXVI
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XXVII
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XXVIII
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XXX
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XXXI
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XXXII
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XXXIII
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XXXIV
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XXXV
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XXXVI
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XXXVII
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XXXVIII
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XXXIX
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XL
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XLI
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XLII
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XLIII
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XLIV
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XLV
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XLVI
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XLVII
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XLVIII
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XLIX
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L
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LII
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LIII
163
LIV
169
LV
173
LVI
183
LVII
192
LVIII
197
LIX
205
LX
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LXI
219
LXXI
281
LXXII
286
LXXIII
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LXXIV
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LXXV
322
LXXVI
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LXXVII
340
LXXVIII
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LXXIX
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LXXX
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LXXXI
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LXXXII
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LXXXIII
371
LXXXIV
387
LXXXV
400
LXXXVI
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LXXXVII
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LXXXVIII
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LXXXIX
431
XC
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XCI
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XCII
448
XCIII
456
XCIV
462
XCV
469
XCVI
474
XCVIII
477
XCIX
480
C
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CI
483
CII
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CIII
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CIV
490
CVI
494
CVII
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CVIII
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CIX
500
CX
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CXI
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CXII
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CXIII
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CXIV
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CXV
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CXVI
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CXVII
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CXVIII
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CXIX
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CXX
543
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