Ferrohydrodynamics
The behavior and dynamics of magnetic fluids receive a coherent, comprehensive treatment in this high-level study, which encompasses electromagnetism and fields. One of the best classic introductions to the subject, the text covers most aspects of particle interaction, from magnetic repulsion to qua...
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| Main Author | |
|---|---|
| Format | eBook |
| Language | English |
| Published |
Newburyport
Dover Publications
2014
Dover Publications, Incorporated |
| Edition | 1 |
| Subjects | |
| Online Access | Get full text |
| ISBN | 0486678342 9780486678344 9780486783000 0486783006 |
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| Abstract | The behavior and dynamics of magnetic fluids receive a coherent, comprehensive treatment in this high-level study, which encompasses electromagnetism and fields. One of the best classic introductions to the subject, the text covers most aspects of particle interaction, from magnetic repulsion to quasi-stable equilibriums and ferrohydrodynamic instabilities. The self-contained approach is suitable for graduate students and researchers in physics, engineering, and applied mathematics. The initial chapters offer careful preparation in the most important aspects of magnetism and include introductory material on fluid dynamics. These provide the groundwork for the development of a rigorous description of stress in magnetic fields, leading to formulation of the equations of motion and treatment of the surface boundary conditions. Coverage of numbers of equilibrium flows emphasizes use of the generalized Bernoulli equation as a unifying concept. |
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| AbstractList | Clear, comprehensive treatment of behavior and dynamics of magnetic fluids explores electromagnetism and fields, magnetocaloric energy conversion, more. For graduate students and researchers in physics, engineering, and math. 1997 edition. The behavior and dynamics of magnetic fluids receive a coherent, comprehensive treatment in this high-level study, which encompasses electromagnetism and fields. One of the best classic introductions to the subject, the text covers most aspects of particle interaction, from magnetic repulsion to quasi-stable equilibriums and ferrohydrodynamic instabilities. The self-contained approach is suitable for graduate students and researchers in physics, engineering, and applied mathematics. The initial chapters offer careful preparation in the most important aspects of magnetism and include introductory material on fluid dynamics. These provide the groundwork for the development of a rigorous description of stress in magnetic fields, leading to formulation of the equations of motion and treatment of the surface boundary conditions. Coverage of numbers of equilibrium flows emphasizes use of the generalized Bernoulli equation as a unifying concept. Clear, comprehensive treatment of behaviour and dynamics of magnetic fluids explores electromagnetism and fields, magnetocaloric energy conversion, more. This title is for graduate students and researchers in physics, engineering, and math. The behavior and dynamics of magnetic fluids receive a coherent, comprehensive treatment in this high-level study, which encompasses electromagnetism and fields. One of the best classic introductions to the subject, the text covers most aspects of particle interaction, from magnetic repulsion to quasi-stable equilibriums and ferrohydrodynamic instabilities. The self-contained approach is suitable for graduate students and researchers in physics, engineering, and applied mathematics. The initial chapters offer careful preparation in the most important aspects of magnetism and include introductory material on fluid dynamics. These provide the groundwork for the development of a rigorous description of stress in magnetic fields, leading to formulation of the equations of motion and treatment of the surface boundary conditions. Coverage of numbers of equilibrium flows emphasizes use of the generalized Bernoulli equation as a unifying concept. The text concludes with an examination of the basic instability flow and a pair of helpful appendixes. |
| Author | Rosensweig R. E |
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| Copyright | 2014 |
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| Snippet | The behavior and dynamics of magnetic fluids receive a coherent, comprehensive treatment in this high-level study, which encompasses electromagnetism and... Clear, comprehensive treatment of behavior and dynamics of magnetic fluids explores electromagnetism and fields, magnetocaloric energy conversion, more. For... Clear, comprehensive treatment of behaviour and dynamics of magnetic fluids explores electromagnetism and fields, magnetocaloric energy conversion, more. This... |
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| SubjectTerms | General References Magnetic fluids Mechanics & Mechanical Engineering SCIENCE |
| TableOfContents | Title Page
Preface
Table of Contents
1. Introduction
2. Magnetic Fluids
3. Electromagnetism and Fields
4. Stress Tensor and the Equation of Motion
5. The Ferrohydrodynamic Bernoulli Equation
6. Magnetocaloric Energy Conversion
7. Ferrohydrodynamic Instabilities
8. Magnetic Fluids and Asymmetric Stress
9. Magnetic Two-Phase Flow
Appendices
References
Citation Index
Subject Index 7.1 Normal-field instability -- Equation set -- Interfacial force balance -- Kinematics -- Flow-field analysis -- Perturbed magnetic field -- Boundary conditions on the field vectors -- Applying the magnetic boundary conditions -- Theoretical predictions -- Normal-field instability experiments -- Nonlinear analysis -- 7.2 General dispersion relation for moving media with oblique magnetic field -- 7.3 Rayleigh-Taylor problem -- Experimental confirmation -- 7.4 Kelvin-Helmholtz instability -- Criterion for Kelvin-Helmholtz instability in a ferrofluid -- 7.5 Gradient-field stabilization -- 7.6 Labyrinthine instability -- Labyrinth spacing -- 7.7 Stability of fluid cylinders -- Magnetic-fluid jet in a uniform field -- Cylindrical column in a radial gradient field -- 7.8 Porous-medium flow: fingering instability -- 7.9 Thermoconvective stability -- 7.10 Retrospective -- Addendum: representation of disturbance waves -- Comments and supplemental references -- 8 Magnetic fluids and asymmetric stress -- 8.1 Phenomena -- 8.2 Cauchy stress principle and conservation of momentum -- 8.3 Integral equation for conservation of angular momentum for nonpolar materials -- 8.4 Reynolds' transport theorem -- 8.5 Cauchy equation of motion -- 8.6 Symmetry of the stress tensor for nonpolar fluids -- 8.7 Analysis for polar fluids -- 8.8 Summary of the basic laws of continuum mechanics -- 8.9 Constitutive relations -- Magnetization relaxation process -- 8.10 Analogs of the Navier- Stokes equations for fluids with internal angular momentum -- 8.11 Ferrohydrodynamic-torque-driven flow -- 8.12 Effective viscosity of a magnetized fluid -- Comments and supplemental references -- 9 Magnetic two-phase flow -- 9.1 Background -- 9.2 Ordinary fluidization -- 9.3 Some fundamental problems in fluidization engineering -- 9.4 Basic relationships in two-phase flow -- Definition of averages Averaged continuity equations -- Averaged magnetostatic relationships -- Averaged momentum balances -- Constitutive relations -- 9.5 Summary of the averaged equations -- 9.6 Magnetized fluidized solids -- Solution in the steady state with a uniform magnetic field -- 9.7 Stability of the steady-state solution -- Derivation of the linearized equations -- Form of the linearized equations for plane waves -- General solution for the voidage perturbation -- Nature of the predicted behavior -- 9.8 Experimental behavior -- Transition velocity -- Influence of the field orientation -- Rheology of magnetically stabilized fluidized solids -- Directions for further study -- Comments and supplemental references -- Appendixes -- 1 Vector and tensor notation -- 2 Application of the Maxwell stress tensor: analysis of a sheet jet -- References -- Citation index -- Subject index 3.2 Magnetic-field boundary conditions -- 3.3 Maxwell stress tensor -- Portrait of the Maxwell stress tensor -- 3.4 Maxwell's equations -- Integral equations -- Differential equations -- 3.5 Energy density of the electromagnetic field -- 3.6 Transformed expression for the field energy -- Comments and supplemental references -- 4 Stress tensor and the equation of motion -- 4.1 Thermodynamic background -- 4.2 Formulation of the magnetic stress tensor -- Stress tensor of a magnetizable fluid -- What is the "pressure" in a magnetized fluid? -- 4.3 Magnetic body-force density -- Alternative general forms -- Alternative reduced forms -- Remarks concerning striction in compressible media -- 4.4 Equation of motion for magnetic fluid -- Alternative forms of the equation of motion -- Comments and supplemental references -- 5 The ferrohydrodynamic Bernoulli equation -- 5.1 Derivation -- 5.2 Boundary conditions -- 5.3 Categories of equilibrium inviscid flows -- 5.4 Applications of the FHD Bernoulli equation -- Classical Quincke problem -- Surface elevation in a normal field -- Magnetic nozzle -- Modified Gouy experiment -- Conical meniscus -- Origin of the radial force -- Magnetic-fluid rotary-shaft seals -- 5.5 Earnshaw's theorem and magnetic levitation -- Simplified treatment of the levitation of a nonmagnetic body -- Phenomenon of self-levitation -- Analysis of forces on an immersed body -- 5.6 Striction effect -- Comments and supplemental references -- 6 Magnetocaloric energy conversion -- 6.1 Thermodynamics of magnetic materials -- 6.2 Mechanism for power generation -- 6.3 Linear equation of state -- 6.4 General cycle analysis -- 6.5 Cycle efficiency for a linear material -- 6.6 Cycle efficiency with regeneration -- 6.7 Implementing the cycle -- 6.8 Summary -- Comments and supplemental references -- 7 Ferrohydrodynamic instabilities Cover -- Title page -- Copyright page -- Dedication -- Contents -- Preface -- 1 Introduction -- 1.1 Scope of ferrohydrodynamics -- 1.2 Ferromagnetic solids -- 1.3 Magnetic fluids -- 1.4 Ferromagnetic concepts and units -- Definition of the field -- External field of a dipole source -- Magnetic force and torque on dipolar matter -- Interaction energy of two dipoles -- 1.5 Concepts of fluid mechanics -- Continuity equation -- Substantial derivative -- 1.6 Generalized Bernoulli equation -- 1.7 Stress tensor and its physical meaning -- Force resulting from a stress tensor -- Addendum: equivalence of dipolar and polar representations -- Comments and supplemental references -- 2 Magnetic fluids -- 2.1 Stability requirements -- Stability in a magnetic-field gradient -- Stability against settling in a gravitational field -- Stability against magnetic agglomeration -- Necessity to guard against the van der Waals attractive force -- 2.2 Preparation of magnetic colloids by size reduction -- 2.3 Preparation of ferrofluids by chemical precipitation -- Magnetite precipitation with steric stabilization -- Cobalt particles in an organic carrier -- Charge-stabilized magnetite -- 2.4 Other magnetic fluids -- Paramagnetic salt solutions -- Metallic-base ferrofluid -- 2.5 Surface adsorption and steric stabilization -- Steric repulsion mechanism -- Net interaction curve -- Dispersant structural guidelines -- 2.6 Ferrofluid modification -- Phenomenological basis -- Carrier liquid exchange -- Surfactant exchange -- 2.7 Physical properties -- Equilibrium magnetization: superparamagnetism -- Magnetic relaxation -- Viscosity -- Concentrated suspensions -- 2.8 Correlation phenomena -- 2.9 Tabulated physical properties -- Comments and supplemental references -- 3 Electromagnetism and fields -- 3.1 Magnetostatic field equations -- Scalar potential |
| Title | Ferrohydrodynamics |
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