By David Rubenstein Ph.D. Biomedical Engineering Stony Brook University, Wei Yin Ph.D. Biomedical Engineering State University of New York at Stony Brook, Mary D. Frame Ph.D. University of Missouri Columbia
Biofluid Mechanics: An advent to Fluid Mechanics, Macrocirculation, and Microcirculation shows how fluid mechanics ideas will be utilized not just to blood stream, but additionally to ventilation throughout the lungs, joint lubrication, intraocular fluid flow, renal shipping between different area of expertise circulations. This new moment version raises the breadth and intensity of the unique by means of increasing chapters to hide extra biofluid mechanics rules, disorder standards, and scientific administration of illness, with assisting discussions of the relevance and significance of present learn. Calculations comparable either to the affliction and the fabric lined within the bankruptcy also are now provided.
- Uses language and math that's applicable and conducive for undergraduate studying, containing many labored examples and end-of-chapter problems
- Develops all engineering ideas and equations inside of a organic context
- Covers issues within the conventional biofluids curriculum, and addresses different structures within the physique that may be defined through biofluid mechanics principles
- Discusses scientific purposes through the booklet, offering sensible functions for the suggestions discussed
- NEW: extra labored examples with a far better connection to suitable disorder stipulations and experimental techniques
- NEW: greater pedagogy, with extra end-of-chapter difficulties, photos, tables, and headings, to higher facilitate studying and comprehension of the material
Read Online or Download Biofluid Mechanics, Second Edition: An Introduction to Fluid Mechanics, Macrocirculation, and Microcirculation PDF
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Extra info for Biofluid Mechanics, Second Edition: An Introduction to Fluid Mechanics, Macrocirculation, and Microcirculation
Lamina 1 is in contact with lamina 2 and the blood vessel wall in this example. , δA2). Because of this defined contact area and the motion of the fluid, there is some force dis~2 , which has a force tributed over the area of each element. Consider a small element of area, δA ~2 ). This force can be resolved into two elements; one that is normal component acting on it (δF ~2 . These forces are denoted as δF ~2 and one that is tangential to δA ~n and δF ~t , respectively. to δA The normal stress, σn (Eq.
19). 19 Figure for the example problem. I. FLUID MECHANICS BASICS 44 2. FUNDAMENTALS OF FLUID MECHANICS 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 1 g=cm Ã s 30 mm=s Ã 5 0:0105 Pa 5 0:105 dyne=cm2 τ upper 5 3:5 3 1022 P 1P 10 mm τ upper 5 μ Similarly, the shear stress on the lower plate is Ulower 2 Uupper Uupper Δvx 5μ 5μ Δy dlower 2 dupper dupper 1 g=cm Ã s 230 mm=s Ã 5 0:0105 Pa 5 0:105 dyne=cm2 P 1P 210 mm τ lower 5 μ τ lower 5 3:5 3 1022 Although the shear forces have the same magnitude, their directions are opposite.
On a cold winter morning when you start your car the oil will initially be very viscous. However, after the car has been running for 5À10 min, the oil heats up and the viscosity reduces. Over that 5-min period, the viscosity decreased due to an increase in engine temperature. Most biological fluids in humans see an approximate constant temperature (approximately 37 C), but remember that physical property numeric values can change in time based on other physical or mechanical properties. For instance, an increase in shear rate between particular joints can decrease the viscosity of the fluid in the joint space (see Chapter 11).
Biofluid Mechanics, Second Edition: An Introduction to Fluid Mechanics, Macrocirculation, and Microcirculation by David Rubenstein Ph.D. Biomedical Engineering Stony Brook University, Wei Yin Ph.D. Biomedical Engineering State University of New York at Stony Brook, Mary D. Frame Ph.D. University of Missouri Columbia