| Description |
1 online resource (1 volume) |
| Contents |
Front Cover -- Mathematical Modeling of Swimming Soft Microrobots -- Copyright -- Contents -- Biography -- Preface -- 1 Introduction -- 1.1 Background -- 1.2 The concept of swimming soft filament -- 1.3 Properties of flow at low-Re -- 1.4 Swimming filament -- 1.5 Drag-based thrust -- 1.6 Propulsive thrust from waves -- 1.7 Modeling framework -- 1.8 Application areas -- References -- Part 1 Fundamentals of the theory of elasticity, electromagnetics, and fluid mechanics -- 2 Theory of elasticity -- 2.1 Rigid bodies -- 2.2 Fluid response -- 2.3 Geometry of chiral microrobots |
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2.4 Swimming of rigid bodies -- 2.5 Deformable bodies -- 2.6 Reynolds transport theorem -- 2.7 Equation of motion -- Equations in rectangular coordinates -- Elastic filament with uniform cross-section -- Equations in polar coordinates -- One-dimensional transverse deformation -- 2.8 Finite-difference discretization -- Pivoted boundary condition -- Tweezed boundary condition -- Forced boundary condition -- Torqued boundary condition -- Large deformation -- References -- 3 Theory of electromagnetics -- 3.1 Force on a moving charge -- 3.2 Flux and circulation of vector fields -- Flux of vector field |
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Circulation of vector field -- 3.3 Maxwell's equations -- 3.4 Magnetic fields -- 3.5 The nature of magnetic materials -- Diamagnetism -- Paramagnetism -- Ferromagnetism -- 3.6 Magnetic force and torque -- References -- 4 Fluid mechanics and resistive-force theory -- 4.1 The equation of continuity -- 4.2 Euler's equation -- 4.3 Equation of motion of a viscous fluid -- 4.4 Reynolds number (revisited) -- 4.5 Flow with small Reynolds numbers -- 4.6 The resistive-force theory -- Drag-based thrust (revisited) -- Propulsive thrust -- RFT applied to oscillating bar -- 4.7 Surface effects |
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4.8 Materials properties -- Shear thinning and influence of temperature -- References -- Part 2 Internally actuated swimming soft microrobots -- 5 Principles of propulsion by flagella and cilia -- 5.1 Modeling framework -- 5.2 Swimming velocity using Stokeslets theory -- 5.3 Swimming velocity using RFT (revisited) -- 5.4 Flagellar kinematics -- Forces on the cell body -- Forces on the flagellum -- 5.5 Modeling of the governing equations -- Influence of the rheological properties of the background fluid -- Influence of the actuation frequency -- 5.6 Fourier analysis of the wave pattern |
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5.7 Bending moments in an active flagellum -- Active bending with constant amplitude -- Active bending with increasing amplitude -- References -- 6 Examples -- 6.1 Calculation of the instantaneous velocities -- 6.2 Bull spermatozoa swimming -- 6.3 Spermbot swimming -- 6.4 Sperm-bead assembly swimming -- Stable limit cycle -- References -- Part 3 Externally actuated swimming soft microrobots -- 7 Principles of propulsion by magnetically actuated soft bodies -- 7.1 Small deformation flagellar propulsion -- 7.2 Near surface effects -- 7.3 Step-out frequency -- 7.4 Large deformation (revisited) |
| Subject |
Microrobots -- Mathematical models
|
| Form |
Electronic book
|
| Author |
Klingner, Anke, author
|
|
Misra, Sarthak, author
|
| ISBN |
0128169443 |
|
9780128169445 |
|
