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Biomedical fluid dynamics : flow and form

Author: Troy Shinbrot
Publisher: Oxford ; New York, NY : Oxford University Press, [2019] ©2019
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This is a readable and attractively presented overview of fluid flow in biological systems. Examples include flow through blood vessels, pulsatile flow, and pattern formation. The book includes popular vignettes and historical anecdotes and it offers a first-principles introduction to modern mathematical methods needed to solve complex problems.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Shinbrot, Troy.
Biomedical fluid dynamics.
New York, NY : Oxford University Press, 2019
(DLC) 2018951252
(OCoLC)1104404242
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Troy Shinbrot
ISBN: 9780192542298 019254229X 9780191850721 0191850721
OCLC Number: 1096244410
Notes: 9.3 Return to Drag in Pipes: Empirical Relations
Description: 1 online resource (392 pages)
Contents: 1. Fundamental Equations; 1.1 A Motivational Allegory; 1.2 Continuity Equation; 1.3 Navier-Stokes Equation; 1.3.1 Pressure; 1.3.2 Viscosity; 1.3.3 Nondimensionalization; 1.3.4 Limiting Behaviors; 1.4 Application: Poiseuille Flow in a Rigid Tube; 1.4.1 3D Poiseuille Flow in a Cylindrical Tube; 2. Elastic Surfaces; 2.1 Young-Laplace Equation; 2.2 Plateau-Rayleigh Instability; 2.3 Dimensional Analysis; 2.3.1 Rayleigh's Approach; 2.3.2 Buckingham's Approach 2.3.3 Comparison between Rayleigh's and Buckingham's ApproachREFERENCES; 3. Flow through Elastic Tubes; 3.1 Flow in Elastic-Walled Tubes; 3.1.1 Continuity Equation; 3.1.2 Young-Laplace Equation; 3.1.3 Combining Continuity and Young-Laplace results; 3.1.4 Dependence of Fluid Velocity on Pressure: Darcy's Law; 3.1.5 Solution at Last!; 3.2 Aside: A Brief Encounter with Complex Analysis; REFERENCES; 4. Pulsatile Flows; 4.1 Introduction; 4.2 Aside: Who's Afraid of Bessel Functions?; 4.2.1 Technicalities; 4.3 Nonlinear Effects; 4.3.1 Shocks and Lead Edge Steepening 4.3.2 Nonlinear Material Response4.4 What is to be Done?; 4.4.1 Mode Coupling; 4.4.2 Solitons: the Korteweg-de Vries Equation; REFERENCES; 5. Entrances, Branches, and Bends; 5.1 Entrance Effects; 5.2 Branching Effects; 5.3 Bending Effects; 5.4 Model Building; 5.5 Out of Plane Bending; REFERENCES; 6. Shearing Flows around Cylindersand Spheres; 6.1 Introduction; 6.2 Stokes Drag: Flow Past Particles at Low Reynolds Number; 6.3 Streamfunction; 6.4 Biharmonic Equation; 6.5 Solution at Last; REFERENCES; 7. Intermezzo: Effects of Increasing Reynolds Number; 7.1 Introduction; 7.2 Bernoulli Equation 7.3 Vorticity Equation7.3.1 Vorticity and Viscosity; 7.3.2 Vortex Stretching; 7.4 Matching Solutions: Rankine Vortex; 7.5 Return to Irrotational Flow; 7.6 Rotation and the Oscillation Game; 7.7 Potential Flow around a Cylinder; 7.8 Potential Flow around a Sphere; 7.9 Flow over a Wavy Streambed: Some Useful Lessons; 7.9.1 Small Parameter Expansion; 7.9.2 Hyperbolic Functions; 7.9.3 Boundary Conditions; 7.10 Stability, Instability, and Transitions; REFERENCES; 8. Inviscid Flows; 8.1 Introduction; 8.2 Stokes Paradox; 8.3 Drag as a Function of Reynolds Number and Roughness; 8.3.1 Mechanisms 8.3.2 Surface Features8.4 Curve Balls; 8.5 Conformal Mappings; 8.5.1 Flow Around an Ellipse; 8.5.2 Joukowski Transform; 8.5.3 Summary and Other Conformal Geometries; 8.5.4 Wedge Flows-Lesson: Nature and Causes of Divergences; 8.5.5 Hose-Lesson: a First Example of an Implicit Model; 8.5.6 Cavity Flow-Lesson: Limitations of Fancy Tools; REFERENCES; 9. Rheology in Complex Fluids 1; 9.1 Introduction; 9.2 Viscosity of Simple Suspensions; 9.2.1 Einstein Model for Dilute Suspensions; 9.2.2 Models for Dense Suspensions; 9.2.3 Lubrication Theory and Colloidal Dynamics
Responsibility: Prof Troy Shinbrot.

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This is a readable and attractively presented overview of fluid flow in biological systems. Examples include flow through blood vessels, pulsatile flow, and pattern formation. The book includes  Read more...

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This book is an impressive collection of the fluid flow in biological systems. At the same time it is a readable and attractively presented graduate textbook for biomedical engineersthe book Read more...

 
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