The physics of pulsatile flow:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer [u.a.]
2000
|
| Series: | Biological physics series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 220 S. Ill., graph. Darst. |
| ISBN: | 0387989250 |
Staff View
MARC
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| 245 | 1 | 0 | |a The physics of pulsatile flow |c M. Zamir |
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| 650 | 4 | |a Blood flow | |
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| 650 | 4 | |a Pulsatile Flow | |
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Record in the Search Index
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| adam_text | Contents
Foreword vii
Series Preface ix
Preface xi
1 Preliminary Concepts 1
1.1 Flow in a Tube 1
1.2 What Is a Fluid? 3
1.3 Microscopic and Macroscopic Scales 5
1.4 What Is Flow? 6
1.5 Eulerian and Lagrangian Velocities 9
1.6 Acceleration in a Flow Field 10
1.7 Is Blood a Newtonian Fluid? 13
1.8 No-Slip Boundary Condition 14
1.9 Laminar and Turbulent Flow 16
1.10 Problems 19
1.11 References and Further Reading 20
2 Equations of Fluid Flow 23
2.1 Introduction 23
2.2 Equations at a Point 23
2.3 Equations and Unknowns 26
2.4 Conservation of Mass: Equation of Continuity 27
xvi Contents
2.5 Momentum Equations 29
2.6 Forces on a Fluid Element 30
2.7 Constitutive Equations 33
2.8 Navier-Stokes Equations 35
2.9 Problems 36
2.10 References and Further Reading 37
3 Steady Flow in Tubes 39
3.1 Introduction 39
3.2 Simplified Equations 40
3.3 Steady-State Solution: Poiseuille Flow 42
3.4 Properties of Poiseuille Flow 43
3.5 Balance of Energy Expenditure 47
3.6 Cube Law 49
3.7 Arterial Bifurcation 51
3.8 Arterial Tree 53
3.9 Entry Length 57
3.10 Noncircular Cross Section 59
3.11 Problems 62
3.12 References and Further Reading 63
4 Pulsatile Flow in a Rigid Tube 67
4.1 Introduction 67
4.2 Oscillatory Flow Equations 69
4.3 Fourier Analysis 71
4.4 Bessel Equation 74
4.5 Solution of Bessel Equation 75
4.6 Oscillatory Velocity Profiles 78
4.7 Oscillatory Flow Rate 81
4.8 Oscillatory Shear Stress 83
4.9 Pumping Power 85
4.10 Oscillatory Flow at Low Frequency 91
4.11 Oscillatory Flow at High Frequency 98
4.12 Tubes of Elliptic Cross Sections 104
4.13 Problems 109
4.14 References and Further Reading Ill
5 Pulsatile Flow in an Elastic Tube 113
5.1 Introduction 113
5.2 Bessel Equations and Solutions 116
5.3 Balance of Forces 118
5.4 Equations of Wall Motion 122
5.5 Coupling with Fluid Motion 127
5.6 Matching at the Tube Wall 128
5.7 Wave Speed 130
Contents xvii
5.8 Arbitrary Constants 134
5.9 Flow Properties 135
5.10 Problems 140
5.11 References and Further Reading 142
6 Wave Reflections 147
6.1 Introduction 147
6.2 One-Dimensional Wave Equations 150
6.3 Basic Solution of Wave Equation 152
6.4 Primary Wave Reflections in a Tube 156
6.5 Secondary Wave Reflections in a Tube 160
6.6 Pressure-Flow Relations 163
6.7 Effective Admittance 169
6.8 Vascular Tree Structure 172
6.9 Problems 183
6.10 References and Further Reading 184
Appendix A. Values of J0(A), Jx(A), and G(A) 187
Appendix B. Solutions to Problems 197
Index 215
|
| adam_txt |
Contents
Foreword vii
Series Preface ix
Preface xi
1 Preliminary Concepts 1
1.1 Flow in a Tube 1
1.2 What Is a Fluid? 3
1.3 Microscopic and Macroscopic Scales 5
1.4 What Is Flow? 6
1.5 Eulerian and Lagrangian Velocities 9
1.6 Acceleration in a Flow Field 10
1.7 Is Blood a Newtonian Fluid? 13
1.8 No-Slip Boundary Condition 14
1.9 Laminar and Turbulent Flow 16
1.10 Problems 19
1.11 References and Further Reading 20
2 Equations of Fluid Flow 23
2.1 Introduction 23
2.2 Equations at a Point 23
2.3 Equations and Unknowns 26
2.4 Conservation of Mass: Equation of Continuity 27
xvi Contents
2.5 Momentum Equations 29
2.6 Forces on a Fluid Element 30
2.7 Constitutive Equations 33
2.8 Navier-Stokes Equations 35
2.9 Problems 36
2.10 References and Further Reading 37
3 Steady Flow in Tubes 39
3.1 Introduction 39
3.2 Simplified Equations 40
3.3 Steady-State Solution: Poiseuille Flow 42
3.4 Properties of Poiseuille Flow 43
3.5 Balance of Energy Expenditure 47
3.6 Cube Law 49
3.7 Arterial Bifurcation 51
3.8 Arterial Tree 53
3.9 Entry Length 57
3.10 Noncircular Cross Section 59
3.11 Problems 62
3.12 References and Further Reading 63
4 Pulsatile Flow in a Rigid Tube 67
4.1 Introduction 67
4.2 Oscillatory Flow Equations 69
4.3 Fourier Analysis 71
4.4 Bessel Equation 74
4.5 Solution of Bessel Equation 75
4.6 Oscillatory Velocity Profiles 78
4.7 Oscillatory Flow Rate 81
4.8 Oscillatory Shear Stress 83
4.9 Pumping Power 85
4.10 Oscillatory Flow at Low Frequency 91
4.11 Oscillatory Flow at High Frequency 98
4.12 Tubes of Elliptic Cross Sections 104
4.13 Problems 109
4.14 References and Further Reading Ill
5 Pulsatile Flow in an Elastic Tube 113
5.1 Introduction 113
5.2 Bessel Equations and Solutions 116
5.3 Balance of Forces 118
5.4 Equations of Wall Motion 122
5.5 Coupling with Fluid Motion 127
5.6 Matching at the Tube Wall 128
5.7 Wave Speed 130
Contents xvii
5.8 Arbitrary Constants 134
5.9 Flow Properties 135
5.10 Problems 140
5.11 References and Further Reading 142
6 Wave Reflections 147
6.1 Introduction 147
6.2 One-Dimensional Wave Equations 150
6.3 Basic Solution of Wave Equation 152
6.4 Primary Wave Reflections in a Tube 156
6.5 Secondary Wave Reflections in a Tube 160
6.6 Pressure-Flow Relations 163
6.7 Effective Admittance 169
6.8 Vascular Tree Structure 172
6.9 Problems 183
6.10 References and Further Reading 184
Appendix A. Values of J0(A), Jx(A), and G(A) 187
Appendix B. Solutions to Problems 197
Index 215 |
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| indexdate | 2024-07-09T21:10:48Z |
| institution | BVB |
| isbn | 0387989250 |
| language | English |
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| physical | XVII, 220 S. Ill., graph. Darst. |
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| spelling | Zamir, Mair Verfasser aut The physics of pulsatile flow M. Zamir New York [u.a.] Springer [u.a.] 2000 XVII, 220 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Biological physics series Blood flow Body fluids Physics Pulsatile Flow Tubes Fluid dynamics Instationäre Strömung (DE-588)4132734-2 gnd rswk-swf Hämodynamik (DE-588)4022810-1 gnd rswk-swf Hämodynamik (DE-588)4022810-1 s Instationäre Strömung (DE-588)4132734-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016294383&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zamir, Mair The physics of pulsatile flow Blood flow Body fluids Physics Pulsatile Flow Tubes Fluid dynamics Instationäre Strömung (DE-588)4132734-2 gnd Hämodynamik (DE-588)4022810-1 gnd |
| subject_GND | (DE-588)4132734-2 (DE-588)4022810-1 |
| title | The physics of pulsatile flow |
| title_auth | The physics of pulsatile flow |
| title_exact_search | The physics of pulsatile flow |
| title_exact_search_txtP | The physics of pulsatile flow |
| title_full | The physics of pulsatile flow M. Zamir |
| title_fullStr | The physics of pulsatile flow M. Zamir |
| title_full_unstemmed | The physics of pulsatile flow M. Zamir |
| title_short | The physics of pulsatile flow |
| title_sort | the physics of pulsatile flow |
| topic | Blood flow Body fluids Physics Pulsatile Flow Tubes Fluid dynamics Instationäre Strömung (DE-588)4132734-2 gnd Hämodynamik (DE-588)4022810-1 gnd |
| topic_facet | Blood flow Body fluids Physics Pulsatile Flow Tubes Fluid dynamics Instationäre Strömung Hämodynamik |
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