Fluid-structure interactions in low-Reynolds-number flows / edited by Camille Duprat and Howard A. Stone.

Format:

Book

Author/Creator:

Camille Duprat

Contributor:

Duprat, Camille, editor.

Stone, Howard A., editor.

Series:

RSC soft matter series ; Number 4.

RSC Soft Matter Series, 2048-7681 ; Number 4

Language:

English

Subjects (All):

Viscous flow.

Physical Description:

1 online resource (499 p.)

Place of Publication:

Cambridge, England : Royal Society of Chemistry, 2016.

Language Note:

English

Summary:

An approachable introduction to low Reynolds number flows and elasticity for those new to the area across engineering, physics, chemistry and biology.

Contents:

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

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

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

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

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

2.10 Drop Deformation and Drift in Linear Flows

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters and index.

Description based on online resource; title from PDF title page (ebrary, viewed December 8, 2015).

ISBN:

9781523104789

1523104783

9781782628491

1782628495