Mathematical analysis of viscoelastic flows:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia
Siam
2000
|
| Series: | National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics
73 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 104 S. Ill., graph. Darst. |
| ISBN: | 0898714575 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Preface ix
1 Phenomena in Non Newtonian Flows 1
1.1 Effects due to normal stresses 2
1.2 Effects clue to elongational viscosity 2
1.3 Contraction flows 6
1.4 Instabilities 8
2 Mathematical Formulation 13
2.1 Balance laws 13
2.2 Linear models 13
2.3 Nonlinear models 15
2.4 Molecular theories 18
3 Behavior in Simple Flows 23
3.1 Steady simple shear flow 23
3.2 Steady viscometric flows 27
3.3 Steady elongational flows 29
4 Existence Theory 33
4.1 Initial value problems 33
4.2 Steady flows 38
5 Numerical Methods 41
5.1 Discrete representation 12
5.2 Nonlinear iteration 12
5.3 Choice of equations 43
5.4 Streamline upwinding 45
6 High Weissenberg Number Asymptotics 47
6.1 Euler equations 48
6.2 Boundary layers 51
vii
viii CONTENTS
7 Reentrant Corner Singularities 57
7.1 The Newtonian case 57
7.2 The UCM model 59
7.3 Instability of stress integration 63
8 Instabilities 65
8.1 Analysis of instabilities 65
8.2 Center manifolds 66
8.3 Simple eigenvalue bifurcation 67
8.4 Hopf bifurcation 69
8.5 Linear stability for PDEs 71
9 Change of Type 75
9.1 Mathematical definitions 75
9.2 Application to viscoelastic flow 81
9.3 Melt fracture and spurt 82
9.4 Delayed die swell 84
10 Jet Breakup 87
10.1 Governing equations 87
10.2 Newtonian jet breakup 89
10.3 The Oldroyd B model 89
10.4 Filament stretching 91
Bibliography 95
Index 103
|
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| discipline | Physik Mathematik |
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| indexdate | 2024-07-09T18:45:06Z |
| institution | BVB |
| isbn | 0898714575 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009138385 |
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| physical | IX, 104 S. Ill., graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Siam |
| record_format | marc |
| series2 | National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics |
| spelling | Renardy, Michael 1955- Verfasser (DE-588)142008257 aut Mathematical analysis of viscoelastic flows Michael Renardy Philadelphia Siam 2000 IX, 104 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics 73 Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Viskose Strömung (DE-588)4226965-9 gnd rswk-swf Viskoelastische Flüssigkeit (DE-588)4188410-3 gnd rswk-swf Viskoelastische Flüssigkeit (DE-588)4188410-3 s Viskose Strömung (DE-588)4226965-9 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics National Science Foundation 73 (DE-604)BV000016696 73 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009138385&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Renardy, Michael 1955- Mathematical analysis of viscoelastic flows Mathematisches Modell (DE-588)4114528-8 gnd Viskose Strömung (DE-588)4226965-9 gnd Viskoelastische Flüssigkeit (DE-588)4188410-3 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4226965-9 (DE-588)4188410-3 |
| title | Mathematical analysis of viscoelastic flows |
| title_auth | Mathematical analysis of viscoelastic flows |
| title_exact_search | Mathematical analysis of viscoelastic flows |
| title_full | Mathematical analysis of viscoelastic flows Michael Renardy |
| title_fullStr | Mathematical analysis of viscoelastic flows Michael Renardy |
| title_full_unstemmed | Mathematical analysis of viscoelastic flows Michael Renardy |
| title_short | Mathematical analysis of viscoelastic flows |
| title_sort | mathematical analysis of viscoelastic flows |
| topic | Mathematisches Modell (DE-588)4114528-8 gnd Viskose Strömung (DE-588)4226965-9 gnd Viskoelastische Flüssigkeit (DE-588)4188410-3 gnd |
| topic_facet | Mathematisches Modell Viskose Strömung Viskoelastische Flüssigkeit |
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