Fluid-structure interactions in Low-Reynolds-number flows

Fluid-structure interactions have been well studied over the years but most of the focus has been on high Reynolds number flows, inertially dominated flows where the drag force from the fluid typically varies as the square of the local fluid speed. There are though a large number of fluid-structure...

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Other Authors: Duprat, Camille, (Editor), Stone, Howard A. (Professor of Mechanical and Aerospace Engineering), (Editor)
Format: eBook
Language: English
Published: [Cambridge] : Royal Society of Chemistry, [2015]
Series: RSC soft matter series ; 4.
Subjects:
ISBN: 9781782628491
1782628495
9781782627647
1782627642
9781523104789
1523104783
9781849738132
1849738130
Physical Description: 1 online resource

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245 0 0 |a Fluid-structure interactions in Low-Reynolds-number flows /  |c editors: Camille Duprat, Howard Stone. 
264 1 |a [Cambridge] :  |b Royal Society of Chemistry,  |c [2015] 
264 4 |c ©2016 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a RSC soft matter series ;  |v 4 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a Fluid-structure interactions have been well studied over the years but most of the focus has been on high Reynolds number flows, inertially dominated flows where the drag force from the fluid typically varies as the square of the local fluid speed. There are though a large number of fluid-structure interaction problems at low values of the Reynolds number, where the fluid effects are dominated by viscosity and the drag force from the fluid typically varies linearly with the local fluid speed, which are applicable to many current research areas including hydrodynamics, microfluidics and hemodynamics. Edited by experts in complex fluids, Fluid-Structure Interactions in Low-Reynolds-Number Flows is the first book to bring together topics on this subject including elasticity of beams, flow in tubes, mechanical instabilities induced by complex liquids drying, blood flow, theoretical models for low-Reynolds number locomotion and capsules in flow. The book includes introductory chapters highlighting important background ideas about low Reynolds number flows and elasticity to make the subject matter more approachable to those new to the area across engineering, physics, chemistry and biology. 
500 |a Includes index. 
504 |a Includes bibliographical references and index. 
505 0 |a Cover; Fluid-Structure Interactions in Low-Reynolds-Number Flows; Preface; References; Nomenclature; Quantities; Acronyms; Operators; Contents; Chapter 1 -- Introduction to the Elasticity of Rods; 1.1 Discrete Setting: A Periodic Truss Network; 1.1.1 Geometric Description of a Single Cell; 1.1.2 Small-Displacement Approximation, Modes of Deformation; 1.1.3 Scaling and Symmetry Analysis of the Energy of the Cells; 1.1.4 Elongation of Springs; 1.1.5 Energy of a Single Cell; 1.1.6 Assembling the Periodic Truss; 1.2 Continuous Limit: String, 2D Elastica etc.; 1.2.1 A Generic Continuous Model. 
505 8 |a 1.2.2 The String Model1.2.3 The 2D Elastica Model; 1.2.4 Scaling Analysis: Bending Versus Stretching; 1.2.5 Other Rod Models are Possible; 1.3 Equilibrium of a 2D Elastica; 1.3.1 Derivation of the Equilibrium Equations; 1.3.2 Analogy with the Nonlinear Pendulum and 2D Drops; 1.4 Solving the Linear 2D Elastica; 1.4.1 Clamped-Free Cantilever Beam; 1.4.2 Stretched String; 1.5 The Elastica in Three Dimensions: Helical Buckling; References; Chapter 2 -- Low-Reynolds-Number Flows; 2.1 Introduction; 2.2 Equations of Motion; 2.2.1 The Reynolds Number; 2.2.2 Stokes Equations; 2.3 Elementary Flows. 
505 8 |a 2.3.1 Channel Flows2.3.2 Darcy's Approximation: Description of Porous Media; 2.3.3 Flow Through a Hole in a Wall: Sampson's Solution; 2.4 Kinematic Reversibility; 2.4.1 Observations; 2.4.2 Mathematical Reasons for Kinematic Reversibility; 2.4.3 Examples of Kinematic Reversibility; 2.5 Mathematical Features; 2.5.1 The Lorentz Reciprocal Theorem; 2.5.2 A Point Source: An Idea Illustrated with the Laplace Equation; 2.5.3 Far-Field Decay of the Stokes Equations; 2.5.4 The Point-Force Solution to the Stokes Equations. 
505 8 |a 2.5.5 An Integral Equation Representation of the Solution to the Stokes Equations2.6 General Features Related to the Motions of Objects in Viscous Flows; 2.6.1 Decomposing an External Flow into Simpler Problems; 2.6.2 Generalized Forces and Velocities: Forces, Torques, and the Stresslet Tensor; 2.6.3 ming Motions Produced by a Velocity Distribution on the Particle Surface; 2.6.4 Flow Fields Due to Forces; 2.7 Translation and Rotation of Spheres; 2.7.1 Field Around a Translating Sphere in an Unbounded Fluid; 2.7.2 Sedimentation; 2.7.3 Some Historical Uses of the Stokes Drag Formula. 
505 8 |a 2.7.4 Representation of the Solution with Vectors2.7.5 The Limit of a Point Force: A Stokeslet; 2.7.6 A Rotating Sphere and a Point Torque: The Rotlet; 2.7.7 Resistance to Rate of Deformation: The Stresslet; 2.7.8 Other Shapes; 2.8 Slender-Body Theory; 2.8.1 Resistive Force Theory: Brief Summary; 2.8.2 Resistive Force Theory: Derivation; 2.8.3 Transport and Sedimentation of Slender Objects; 2.9 Jeffery Orbits of an Elongated Particle; 2.9.1 Particle Rotation in the Plane of a Simple Shear Flow; 2.9.2 Three-Dimensional Particle Rotation in a Simple Shear Flow. 
590 |a Knovel  |b Knovel (All titles) 
650 0 |a Viscous flow. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
700 1 |a Duprat, Camille,  |e editor. 
700 1 |a Stone, Howard A.  |c (Professor of Mechanical and Aerospace Engineering),  |e editor.  |1 https://id.oclc.org/worldcat/entity/E39PBJvd7yy39Fw7xXP8dGdfbd 
776 0 8 |i Print version:  |t Fluid-structure interactions in Low-Reynolds-number flows.  |d [Cambridge] : Royal Society of Chemistry, [2015]  |z 9781849738132  |z 1849738130  |w (OCoLC)894276637 
776 0 8 |i Electronic version:  |t Fluid-structure interactions in Low-Reynolds-number flows.  |d [Cambridge] : Royal Society of Chemistry, [2015]  |z 9781782628491  |w (OCoLC)929955518 
830 0 |a RSC soft matter series ;  |v 4. 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://app.knovel.com/hotlink/toc/id:kpFSILRNF1/fluid-structure-interactions?kpromoter=marc  |y Full text