Continuum mechanics of viscoelastic liquids:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Delhi [u.a.]
Hindustan Publ. [u.a.]
1975
|
| Series: | A Halsted Press book.
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 367 S. |
| ISBN: | 047042043X |
Staff View
MARC
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| 245 | 1 | 0 | |a Continuum mechanics of viscoelastic liquids |c R. R. Huilgol |
| 264 | 1 | |a Delhi [u.a.] |b Hindustan Publ. [u.a.] |c 1975 | |
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| 490 | 0 | |a A Halsted Press book. | |
| 650 | 4 | |a Continuum mechanics | |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
PREFACE VU
NOTATION xi
ACKNOWLEDGMENT xv
Chapter 1. Kinematics of Fluid Flow 1
1. Kinematics 1
2. Path Lines 3
3. Strain History 9
4. Rivlin Ericksen Tensors 14
5. Approximations to the Strain History 19
6. Static Continuation and Jump Histories 22
Appendix : Some Basic Results from Tensor Analysis 23
Chapter 2. Kinematics of Motions with Constant Stretch History 30
7. Exponential Histories 31
8. Motions with Constant Stretch History 36
9. Importance of the First Three Rivlin Ericksen Tensors 45
10. Eigenvalues of the First Rivlin Ericksen Tensor 49
11. Compatibility Conditions 54
Appendix : Proof of Noll s Theorem 58
Chapter 3. Objectivity and Changes of Local Configuration 59
12. Change of Observer : Objective Quantities 59
13. Rigid Motions and Velocity Fields 64
14. Change of Local Configuration 69
Chapter 4. Balance Equations 73
15. Reynolds Transport Theorem 73
16. Conservation of Mass 74
17. Balance of Linear Momentum 75
18. Balance of Angular Momentum 80
19. Energy Balance 81
20. Other Forms of Equations of Motion 83
Chapter 5. Formulation of Constitutive Equations Simple Fluids 85
21. Introduction 85
* Basic Principles of Formulation ; Simple Materials 87
xviii
23. Objectivity Resrictions on the Constitutive Equation 90
24. Restrictions Due to Symmetry : Isotropic Solids and Simple Fluids 92
25. Incompressible Simple Fluids 95
Appendix A : Oldroyd s Method of Formulating Constitutive
Equations
Appendix B : Formulation of Constitutive Equations (contd) :
commbnts on the body stress tensor, objectivity
Principle and Symmetry Groups 102
Chapter 6. Isotropy and the Equations of Motion 108
26. Consequences of the Isotropy Condition 108
27. Equations of Motion : General Solutions to a Few Problems 118
Appendix ; Equations of Motion in Curvilinear Coordinates,
and Acceleration Fields 125
Chapter 7. Dynamics of Motions with Constant Stretch History 127
28. Role of the Shear Stress Function in Viscometric Flows 127
29. Global Viscometric Flows 135
30. Uni directional Rectilinear Motion of Simple Fluids 139
31. Helical Torsional Flow 145
32. Maxwell Orthogonal Rheometer Flow 150
33. Simple Extensional Flow 153
Appendix : The Reiner Rivlin Paradox 157
Chapter 8. Other Constitutive Equations and Responses in Some Hows 159
34. Histories of Small Norm ; Finite Linear and Second Order
Viscoelasticity: Static Continuation and Stress Relaxation 161
35. Rivlm Erieksen Fluids and the Retardation Theorem 176
36. Additive Functional : Rivlin and Sawyers9 Generalization
of the Theory of BKZ Fluid 185
37. A Study of the Oldroyd 6 and 8 Constant Models 191
Appendix : Instability, Uniqueness and Nonexistbncb of
Solutions to Flows of Second Order Fluids 199
Chapter 9. Perturbation About an Arbitrary Ground State: Nearly
Viscometrie Hows 202
38. Nearly Viscometric Flows : Theory 202
39. Small Oscillations Superposed on Large 208
40. Motions with Constant Stretch History as Nearly Viscometric Flows 220
xix
Chapter 10. Perturbations for Simple Constitutive Equations 224
41. Creeping Flow : Theorems of Giesekus, Pipkin and Tanner and
Questions of Uniqueness 228
42. Rectilinear Flow : Flow Along a Slot and in Pipes of Arbitrary
Cross Section 237
43. Free Surface Flow. Convexity of the Free Surface 24S
44. Free Surface in Couette Flow. The Domain Perturbation Method 249
45. New Rheometrical Design : Inertia Effects and End Corrections 264
46. Unsteady Flows : Initial Value Problems and Periodic Motions 270
Chapter 11. Experimental Measurements—Theoretical Basis 219
47. Measurement of the Viscosity 280
48. Measurement of the Normal Stress Differences 296
49. Measurement of Elongational Viscosity 316
50. Viscoelastic Jets; First Normal Stress Difference and Die Swell 326
REFERENCES 341
SUBJECT INDEX 359
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.0533 |
| dewey-search | 532/.0533 |
| dewey-sort | 3532 3533 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV007407160 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:01:37Z |
| institution | BVB |
| isbn | 047042043X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004792284 |
| oclc_num | 1338908 |
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| owner_facet | DE-355 DE-BY-UBR DE-29T DE-706 DE-83 DE-188 |
| physical | XIV, 367 S. |
| psigel | TUB-nveb |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Hindustan Publ. [u.a.] |
| record_format | marc |
| series2 | A Halsted Press book. |
| spelling | Huilgol, R. R. Verfasser aut Continuum mechanics of viscoelastic liquids R. R. Huilgol Delhi [u.a.] Hindustan Publ. [u.a.] 1975 XIV, 367 S. txt rdacontent n rdamedia nc rdacarrier A Halsted Press book. Continuum mechanics Liquids Viscous flow Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Viskoelastische Flüssigkeit (DE-588)4188410-3 gnd rswk-swf Viskoelastizität (DE-588)4063621-5 gnd rswk-swf Viskoelastische Flüssigkeit (DE-588)4188410-3 s Kontinuumsmechanik (DE-588)4032296-8 s DE-604 Viskoelastizität (DE-588)4063621-5 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004792284&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Huilgol, R. R. Continuum mechanics of viscoelastic liquids Continuum mechanics Liquids Viscous flow Kontinuumsmechanik (DE-588)4032296-8 gnd Viskoelastische Flüssigkeit (DE-588)4188410-3 gnd Viskoelastizität (DE-588)4063621-5 gnd |
| subject_GND | (DE-588)4032296-8 (DE-588)4188410-3 (DE-588)4063621-5 |
| title | Continuum mechanics of viscoelastic liquids |
| title_auth | Continuum mechanics of viscoelastic liquids |
| title_exact_search | Continuum mechanics of viscoelastic liquids |
| title_full | Continuum mechanics of viscoelastic liquids R. R. Huilgol |
| title_fullStr | Continuum mechanics of viscoelastic liquids R. R. Huilgol |
| title_full_unstemmed | Continuum mechanics of viscoelastic liquids R. R. Huilgol |
| title_short | Continuum mechanics of viscoelastic liquids |
| title_sort | continuum mechanics of viscoelastic liquids |
| topic | Continuum mechanics Liquids Viscous flow Kontinuumsmechanik (DE-588)4032296-8 gnd Viskoelastische Flüssigkeit (DE-588)4188410-3 gnd Viskoelastizität (DE-588)4063621-5 gnd |
| topic_facet | Continuum mechanics Liquids Viscous flow Kontinuumsmechanik Viskoelastische Flüssigkeit Viskoelastizität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004792284&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT huilgolrr continuummechanicsofviscoelasticliquids |