Research Catalog

Title

The physics of pulsatile flow / M. Zamir ; foreword by Erik L. Ritman.

Author

Zamir, M. (Mair)

Publication

New York : AIP Press/Springer-Verlag, [2000], ©2000.

Items in the Library & Off-site

Holdings

Details

Description

xvii, 220 pages : illustrations; 25 cm.

Summary

• "This book presents the most elementary forms of flow in a tube, namely steady and pulsatile flow in a rigid and in an elastic tube, as important prerequisites for the study and application of these phenomena in biological systems.".
• "The goal of the book is to provide in a single source a complete treatment of the fluid dynamics of steady and pulsatile flow with the required mathematical details and with emphasis on basic mechanics and physics. This emphasis is not intended to detract from the important role which pulsatile flow plays in the field of cardiovascular function and disease.
• On the contrary, it is intended to provide workers in that field the required tools in mathematics and physics for pursuing their own independent study of cardiovascular function and disease.
• The style and level of the book make it accessible to students and researchers in biophysics, biology, medicine, biomedical engineering and applied mathematics, whether engaged in theoretical or clinical work on the cardiovascular system, or in the design of new instrumentation, medical imaging systems or artificial organs."--BOOK JACKET.

Series Statement

Biological physics series

Uniform Title

Biological physics series.

Subjects

• Body fluids
• Blood Flow Velocity
• Blood flow
• Tubes > Fluid dynamics

Bibliography (note)

• Includes bibliographical references and index.

Contents

• 1. Preliminary Concepts. 1.1. Flow in a Tube. 1.2. What Is a Fluid? 1.3. Microscopic and Macroscopic Scales. 1.4. What Is Flow? 1.5. Eulerian and Lagrangian Velocities. 1.6. Acceleration in a Flow Field. 1.7. Is Blood a Newtonian Fluid? 1.8. No-Slip Boundary Condition. 1.9. Laminar and Turbulent Flow. 1.10. Problems -- 2. Equations of Fluid Flow. 2.1. Introduction. 2.2. Equations at a Point. 2.3. Equations and Unknowns. 2.4. Conservation of Mass: Equation of Continuity. 2.5. Momentum Equations. 2.6. Forces on a Fluid Element. 2.7. Constitutive Equations. 2.8. Navier - Stokes Equations. 2.9. Problems -- 3. Steady Flow in Tubes. 3.1. Introduction. 3.2. Simplified Equations. 3.3. Steady - State Solution: Poiseuille Flow. 3.4. Properties of Poiseuille Flow. 3.5. Balance of Energy Expenditure. 3.6. Cube Law. 3.7. Arterial Bifurcation. 3.8. Arterial Tree. 3.9. Entry Length. 3.10. Noncircular Cross Section. 3.11. Problems --
• 4. Pulsatile Flow in a Rigid Tube. 4.1. Introduction. 4.2. Oscillatory Flow Equations. 4.3. Fourier Analysis. 4.4. Bessel Equation. 4.5. Solution of Bessel Equation. 4.6. Oscillatory Velocity Profiles. 4.7. Oscillatory Flow Rate. 4.8. Oscillatory Shear Stress. 4.9. Pumping Power. 4.10. Oscillatory Flow at Low Frequency. 4.11. Oscillatory Flow at High Frequency. 4.12. Tubes of Elliptic Cross Sections. 4.13. Problems -- 5. Pulsatile Flow in an Elastic Tube. 5.1. Introduction. 5.2. Bessel Equations and Solutions. 5.3. Balance of Forces. 5.4. Equations of Wall Motion. 5.5. Coupling with Fluid Motion. 5.6. Matching at the Tube Wall. 5.7. Wave Speed. 5.8. Arbitrary Constants. 5.9. Flow Properties. 5.10. Problems -- 6. Wave Reflections. 6.1. Introduction. 6.2. One - Dimensional Wave Equations. 6.3. Basic Solution of Wave Equation. 6.4. Primary Wave Reflections in a Tube. 6.5. Secondary Wave Reflections in a Tube. 6.6. Pressure - Flow Relations.
• 6.7. Effective Admittance. 6.8. Vascular Tree Structure. 6.9. Problems. App. A. Values of J[subscript 0]([Lambda]), J[subscript 1]([Lambda]), and G([Lambda]).

ISBN

0387989250 (hc. : alk. paper)

LCCN

99042457

OCLC

• ocm42049272
• SCSB-3839294

Owning Institutions

Columbia University Libraries