Biofluid Mechanics

The following sections are included:

• PREFACE

• CONTENTS

The following sections are included:

• A Basic Introduction
  • Viscosity
  • Laminar and Turbulent Flow
  • Compressible and Incompressible Flow

• Basic Equations of Fluid Mechanics
  • Continuity Equation
  • Equations of Motion

• Simplification of Basic Equations

• Initial and Boundary Conditions

• Dimensional Analysis in Fluid Mechanics

The following sections are included:

• General Introduction

• The Circulatory System
  • Introduction
  • Systemic and Pulmonary Circulations
  • The Circulation in the Heart

• Diseases Related to Circulation

The following sections are included:

• General Introduction

• Blood Composition

• Structure of Blood

• Flow Properties of Blood
  • Viscosity of Blood
  • Yield Stress of Blood

• Blood Vessel Structure
  • Arteries and Arterioles
  • Veins and Venules
  • Capillaries

• Diseases Related to Obstruction of Blood Flow
  • Thrombus Formation
  • Embolus
  • Compression
  • Vasospasms
  • Structural Defects

The following sections are included:

• Flows in Pipes and Ducts
  • Introduction
  • Developing and Fully Developed Flow

• Models of Blood Flows
  • Introduction
  • Poiseuille’s Flow

• Consequence of Poiseuille’s Flow

• Applications of Poiseuille’s Law for the Study of Blood Flow

• Pulsatile Flow

• Further Discussion on Pulsatile Flow

• The Pulse Wave

• Mones-Korteweg Expression for Wave Velocity in an Inviscid Fluid-Filled Elastic Cylindrical Tube

• Applications in the Cardiovascular System

• Wave Propagation Accounting for Viscosity and its Application to Cardiac Output Determination

• Flow Through a Converging-Diverging Duct

The following sections are included:

• General Introduction

• Classification of Non-Newtonian Fluids

• Time Independent Fluids
  • Power-Law Fluids
  • Bingham Fluids
  • Other Special Non-Newtonian Fluids

• Time Dependent Fluids

• Viscoelastic Fluids

• Laminar Flow of Non-Newtonian Fluids
  • Power-Law Model
  • Herschel-Bulkley Model
  • Casson Model
  • Further Analysis of the Casson Model

• Flow of Non-Newtonian Fluids in Elastic Tubes
  • Power-Law Model Using Linear Elastic Theory
  • Casson Model Using Linear Elastic Theory

The following sections are included:

• Introduction

• The Krogh Model of Oxygen Diffusion From Blood Vessel to Tissue
  • Capillary Blood Vessel Region
  • Tissue Region
  • Boundary Conditions
  • Krogh’s Steady-State Model
  • Blum’s Steady-State Model

• Fluid Flow in Kidneys
  • Introduction
  • Diffusion Process in the Haemodialyser
  • Flow in the Renal Tubule

• Flow Measurement by Indicator Dilution Method
  • Introduction
  • Measurement of Flow

• Peristaltic Flows
  • Introduction
  • Peristaltic Motion in a Cylindrical Tube
  • Long-Wavelength Analysis

The following sections are included:

• General Introduction

• A Brief Description of the Heart Valves

• Prosthetic Heart Valves
  • History of Valve Replacement
  • Thrombosis and Thromboembolism
  • Haemolysis
  • Endothelial Damage
  • Tissue Overgrowth

The following sections are included:

• Introduction

• Mathematical Modelling

• Laminar Versus Turbulent Flow Models

• Turbulence Models

• Computational Methods for the Study of Flow Through Prosthetic Heart Valves

• Laminar Flow Model Through a Prosthesis
  • Problem Formulation
  • Finite Difference Formulation
  • Numerical Solution

• Turbulent Flow Model Through a Ball Prosthesis
  • Introduction
  • Model Formulation
  • Coordinate System Generation
  • Finite Difference Formulation
  • Numerical Solution
  • Conclusion

The following sections are included:

• BIBLIOGRAPHY

• INDEX