By David Rubenstein, Wei Yin, Mary D. Frame
, Pages i,iii
, Page iv
, 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 circulation in Arteries and Veins
, Pages 133-178
Chapter 6 - Microvascular Beds
, Pages 181-215
Chapter 7 - Mass delivery and warmth move within the Microcirculation
, Pages 217-248
Chapter eight - The Lymphatic System
, Pages 249-261
Chapter nine - move within the Lungs
, Pages 265-288
Chapter 10 - Intraocular Fluid Flow
, Pages 289-303
Chapter eleven - Lubrication of Joints
, Pages 305-324
Chapter 12 - movement throughout 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
, Pages 397-400
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Additional info for Biofluid Mechanics. An Introduction to Fluid Mechanics, Macrocirculation, and Microcirculation
Vy @vy 1 @vz @vx @vz @vx 1 2 i 1 2 j 1 2 k 5 curl v ω 5 @y @z @z @x @x @y 2 2 1. FLUID MECHANICS BASICS ð2:25Þ ð2:26Þ 34 2. FUNDAMENTALS OF FLUID MECHANICS - Vorticity (ζ) is a measure of the rotation of fluid elements and is defined as 2 ω . An irrotational fluid has a vorticity of zero. This simplifies the governing equations of the fluid (to be derived later) and makes the computational analysis simpler. In most examples in this text, the vorticity will be zero. However, in biofluid mechanics, due to the large pressure and velocity gradients, recirculation zones, turbulence and shed vortices can be generated which can cause a fluid to have a non-zero vorticity; hence, the fluid would be rotational.
30 cm 1. 18 mmHg). This change in pressure is constant because we assumed that the height and the blood density did not change. Again, this is only valid if the three assumptions we made to derive this formula can be applied to the particular example. The previous example brings us to an important distinction in fluid statics situations. All pressures must be referenced to a specific reference value. 18 mmHg for each of the two cases in the previous example. This is true even when the aortic pressure is variable, because it is our reference and is defined as 0 mmHg at all times.
All rights reserved. 50 3. CONSERVATION LAWS type of analysis. Normal forces can be transmitted by fluids, and these forces can then be applied to devices within a biological system. For instance, by inserting a catheter into a patient, there will be some hydrostatic force that the blood transmits onto the device. While moving the catheter throughout the cardiovascular system, the hydrostatic force changes, and it may be critical to determine this force or the total force acting on the device. Imagine undergoing balloon angioplasty (in which a small balloon attached to the end of a catheter is inflated within the cardiovascular system) and not knowing the hydrostatic pressure that is being applied to the end of the catheter from the fluid.
Biofluid Mechanics. An Introduction to Fluid Mechanics, Macrocirculation, and Microcirculation by David Rubenstein, Wei Yin, Mary D. Frame