By David Rubenstein, Wei Yin, Mary D. Frame

ISBN-10: 0123813832

ISBN-13: 9780123813831

Content material:

Front-matter

, *Pages i,iii*

Copyright

, *Page iv*

Preface

, *Pages ix-x*

Chapter 1 - Introduction

, *Pages 3-9*

Chapter 2 - basics of Fluid Mechanics

, *Pages 11-48*

Chapter three - Conservation Laws

, *Pages 49-100*

Chapter four - The Heart

, *Pages 103-132*

Chapter five - Blood circulate in Arteries and Veins

, *Pages 133-178*

Chapter 6 - Microvascular Beds

, *Pages 181-215*

Chapter 7 - Mass shipping and warmth move within the Microcirculation

, *Pages 217-248*

Chapter eight - The Lymphatic System

, *Pages 249-261*

Chapter nine - circulation within the Lungs

, *Pages 265-288*

Chapter 10 - Intraocular Fluid Flow

, *Pages 289-303*

Chapter eleven - Lubrication of Joints

, *Pages 305-324*

Chapter 12 - circulate during the Kidney

, *Pages 325-345*

Chapter thirteen - In Silico Biofluid Mechanics

, *Pages 349-373*

Chapter 14 - In vitro Biofluid Mechanics

, *Pages 375-383*

Chapter 15 - In vivo Biofluid Mechanics

, *Pages 385-394*

Further Readings Section

, *Page 395*

Index

, *Pages 397-400*

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**Additional resources for Biofluid Mechanics. An Introduction to Fluid Mechanics, Macrocirculation, and Microcirculation**

**Example text**

FSI problems are typically too complex to solve analytically because of the changes in the blood vessel wall location along with the redistribution of cells to the vessel wall. 2). In this textbook, we will not develop the equations needed to solve these types of problems, but we will describe some of the applications associated with FSI and when it would be critical to use this analysis to accurately solve biofluids problems. 1. 1 Fluid mechanics is the study of fluids at rest and at motion. A fluid is defined as a material that continuously deforms under a constant load.

Y Uupper = 30 mm/s d = 10 mm Ulower = 0 mm/s Solution τ upper 5 μ @vy @vx @vx 1 5μ @y @x @y There is no velocity in the y-direction so the second term within the parenthesis drops out of the relationship. Since the velocity profile is linear in the y-direction, the shear stress equation simplifies to Uupper 2 Ulower Uupper Δvx 5μ 5μ Δy dupper 2 dlower dupper 1g=cm Ã s 30mm=s dyne τ upper 5 3:5 3 10 22 P Ã 5 0:0105Pa 5 0:105 1P 10mm cm2 τ upper 5 μ Similarly, the shear stress on the lower plate is τ lower 5 μ Ulower 2 Uupper Uupper Δvx 5μ 5μ Δy dlower 2 dupper dupper 1.

1. 4 Flow in a two-dimensional channel of width W has a velocity profile defined by " # W 2 2 vx ðyÞ 5 k 2y 2 where y 5 0 is located at the center of the channel. Sketch the velocity distribution and find the shear stress/unit width of the channel at the wall. 5 A velocity field is given by vðx; y; zÞ 5 20xy i 2 10y2 j . Calculate the acceleration, the angular velocity and the vorticity vector at the point (21,1,1), where the units of the velocity equation are millimeters per second. 6 Considering one-dimensional fluid (density, ρ; viscosity, μ) flow in a tube with an inlet pressure of pi and outlet pressure of po and tube radius of r and length l, the density of the fluid can be represented as ρ.

### Biofluid Mechanics. An Introduction to Fluid Mechanics, Macrocirculation, and Microcirculation by David Rubenstein, Wei Yin, Mary D. Frame

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