A physical introduction to suspension dynamics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge University Press
2012
|
| Edition: | 1. publ. |
| Series: | Cambridge texts in applied mathematics
[45] |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zählung d. Reihe aus d. Fremddaten übernommen |
| Physical Description: | XI, 229 S. Ill., graph. Darst. |
| ISBN: | 0521149274 9780521149273 9780521193191 |
Staff View
MARC
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| 020 | |a 0521149274 |c (pbk.) £25.00 |9 0-521-14927-4 | ||
| 020 | |a 9780521149273 |c (pbk.) £25.00 |9 978-0-521-14927-3 | ||
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| 100 | 1 | |a Guazzelli, Elisabeth |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A physical introduction to suspension dynamics |c Élisabeth Guazzelli, Jeffrey F. Morris with illustrations by Sylvie Pic |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge University Press |c 2012 | |
| 300 | |a XI, 229 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge texts in applied mathematics |v [45] | |
| 500 | |a Zählung d. Reihe aus d. Fremddaten übernommen | ||
| 650 | 0 | 7 | |a Hydrodynamik |0 (DE-588)4026302-2 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Morris, Jeffrey F. |e Verfasser |4 aut | |
| 830 | 0 | |a Cambridge texts in applied mathematics |v [45] |w (DE-604)BV005466119 |9 45 | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024790127&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Record in the Search Index
| _version_ | 1804148896830586880 |
|---|---|
| adam_text | Contents
Preface page
ix
Prologue
1
PART I MICROHYDRODYNAMICS
7
1
Basic concepts in viscous flow
9
1.1
The fluid dynamic equations
9
1.2
Scaling arguments and the Stokes approximation
12
1.3
Buoyancy and drag
13
1.4
Properties of Stokes flow
16
1.4.1
Linearity
16
1.4.2
Reversibility
17
1.4.3
Instantaneity
20
1.4.4
And more
... 21
Appendix: Three Stokes-flow theorems
22
A.I Minimum energy dissipation
22
A.2 A corollary: Uniqueness
24
A.3 Reciprocal theorem
25
Exercises
26
2
One sphere in Stokes flow
28
2.1
Three single sphere flows: rotation, translation,
straining
28
2.1.1
Rotation
30
2.1.2
Translation
33
2.1.3
Straining
37
vi
Contents
2.2
Hydrodynamic force, torque, and stresslet
40
2.2.1
Force
40
2.2.2
Torque
41
2.2.3
Stresslet
42
2.2.4
Computing the hydrodynamic force
43
2.3
Faxén
laws for the sphere
45
2.4
A sphere in simple shear flow
47
Exercises
50
3
Toward more sophisticated solution techniques
53
3.1
Point force solution
53
3.2
Point torque and stresslet
55
3.3
Integral representation
59
3.4
Multipole representation
60
3.5
Resistance matrices
62
3.6
Motion of different types of particles
67
3.7
Slender-body theory
78
3.8
Boundary integral method
80
Exercises
82
4
Particle pair interactions
84
4.1
A sedimenting pair
84
4.2
A pair in shear
89
4.3
Pair lubrication interactions
93
4.4
Stokesian Dynamics
99
INTERLUDE: FROM THE MICROSCOPIC TO
THE MACROSCOPIC
103
5
A short presentation of statistical and stochastic
concepts
105
5.1
Statistical physics
105
5.2
Averaging concepts
107
5.2.1
Ensemble and other averages
107
5.2.2
Probability distributions
108
5.3
Fluctuational motion
113
5.3.1
Random walks and diffusion
114
5.3.2
Brownian motion
116
5.4
Two routes to diffusive dynamics
118
5.4.1
A macroscopic approach: Stokes-Einstein
relation and Smoluchowski equation
118
Contents
vii
5.4.2
A microscopie
approach:
Langevin
equation
120
5.5
Chaotic dynamics
123
PART II TOWARD A DESCRIPTION OF
MACROSCOPIC PHENOMENA IN
SUSPENSIONS
125
6
Sedimentation
127
6.1
One, two, three
...
spheres
127
6.2
Clusters and clouds
132
6.3
Settling of a suspension of spheres
135
6.4
Influence of the lateral walls of a vessel:
Intrinsic convection
139
6.5
Velocity fluctuations and hydrodynamic diffusion
143
6.6
Fronts
146
6.7
Setting of particles in an inclined vessel:
Boycott effect
149
6.8
More on polydispersity and anisotropy
151
7
Shear flow
155
7.1
Suspension viscosity
155
7.1.1
Computing the Einstein viscosity
157
7.1.2
First effects of particle interaction on
μ8
160
7.2
Non-Newtonian rheology in suspensions
161
7.2.1
Rate and time dependence of viscosity
161
7.2.2
Normal stresses in suspensions
164
7.2.3
Stress mechanisms
168
7.3
Microstructure
of sheared suspensions
170
7.3.1
Concentrated suspension
microstructure
170
7.3.2
Smoluchowski theory of suspension
microstructure
173
7.4
Constitutive modeling of suspension stress
180
7.5
Irreversible dynamics in shear flow
182
7.5.1
Shear-induced diffusion
183
7.5.2
Shear-induced migration
184
7.6
Orientable
particles
190
8
Beyond Stokes flow: Finite inertia
192
8.1
Limit of the Stokes approximation
193
8.1.1
Influence of inertia far from a body
193
Vlil
Contents
8.2
8.3
8.4
8.5
Epilogue
References
Index
8.1.2
Oseen
solution for a translating sphere
Settling spheres at finite inertia
Migration under dilute conditions in
pressure-driven flow
8.3.1
Observations
8.3.2
Analytical approaches
Particle motion in finite-
Де
simple-shear flow
Weak-inertia rheology
196
198
201
201
204
208
211
213
217
225
|
| any_adam_object | 1 |
| author | Guazzelli, Elisabeth Morris, Jeffrey F. |
| author_facet | Guazzelli, Elisabeth Morris, Jeffrey F. |
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| author_sort | Guazzelli, Elisabeth |
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| bvnumber | BV039931875 |
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| ctrlnum | (OCoLC)774131078 (DE-599)BSZ353334200 |
| discipline | Physik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV039931875 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:14:25Z |
| institution | BVB |
| isbn | 0521149274 9780521149273 9780521193191 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024790127 |
| oclc_num | 774131078 |
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| owner | DE-703 DE-29T |
| owner_facet | DE-703 DE-29T |
| physical | XI, 229 S. Ill., graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge texts in applied mathematics |
| series2 | Cambridge texts in applied mathematics |
| spelling | Guazzelli, Elisabeth Verfasser aut A physical introduction to suspension dynamics Élisabeth Guazzelli, Jeffrey F. Morris with illustrations by Sylvie Pic 1. publ. Cambridge [u.a.] Cambridge University Press 2012 XI, 229 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge texts in applied mathematics [45] Zählung d. Reihe aus d. Fremddaten übernommen Hydrodynamik (DE-588)4026302-2 gnd rswk-swf Suspension (DE-588)4058671-6 gnd rswk-swf Suspension (DE-588)4058671-6 s Hydrodynamik (DE-588)4026302-2 s DE-604 Morris, Jeffrey F. Verfasser aut Cambridge texts in applied mathematics [45] (DE-604)BV005466119 45 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024790127&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Guazzelli, Elisabeth Morris, Jeffrey F. A physical introduction to suspension dynamics Cambridge texts in applied mathematics Hydrodynamik (DE-588)4026302-2 gnd Suspension (DE-588)4058671-6 gnd |
| subject_GND | (DE-588)4026302-2 (DE-588)4058671-6 |
| title | A physical introduction to suspension dynamics |
| title_auth | A physical introduction to suspension dynamics |
| title_exact_search | A physical introduction to suspension dynamics |
| title_full | A physical introduction to suspension dynamics Élisabeth Guazzelli, Jeffrey F. Morris with illustrations by Sylvie Pic |
| title_fullStr | A physical introduction to suspension dynamics Élisabeth Guazzelli, Jeffrey F. Morris with illustrations by Sylvie Pic |
| title_full_unstemmed | A physical introduction to suspension dynamics Élisabeth Guazzelli, Jeffrey F. Morris with illustrations by Sylvie Pic |
| title_short | A physical introduction to suspension dynamics |
| title_sort | a physical introduction to suspension dynamics |
| topic | Hydrodynamik (DE-588)4026302-2 gnd Suspension (DE-588)4058671-6 gnd |
| topic_facet | Hydrodynamik Suspension |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024790127&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005466119 |
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