Analytical Solutions for Two Ferromagnetic Nanoparticles Immersed in a Magnetic Field : Mathematical Model in Bispherical Coordinates / by Gehan Anthonys.

Format:

Book

Author/Creator:

Anthonys, Gehan., Author.

Series:

Synthesis Lectures on Electrical Engineering, 1559-8128

Language:

English

Subjects (All):

Engineering.

Electrical engineering.

Electronic circuits.

Technology and Engineering.

Electrical and Electronic Engineering.

Electronic Circuits and Systems.

Local Subjects:

Technology and Engineering.

Electrical and Electronic Engineering.

Electronic Circuits and Systems.

Physical Description:

1 online resource (XVI, 102 p.)

Edition:

1st ed. 2018.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2018.

Summary:

The investigation of the behavior of ferromagnetic particles in an external magnetic field is important for use in a wide range of applications in magnetostatics problems, from biomedicine to engineering. To the best of the author's knowledge, the systematic analysis for this kind of investigation is not available in the current literature. Therefore, this book contributes a complete solution for investigating the behavior of two ferromagnetic spherical particles, immersed in a uniform magnetic field, by obtaining exact mathematical models on a boundary value problem. While there are a vast number of common numerical and analytical methods for solving boundary value problems in the literature, the rapidly growing complexity of these solutions causes increase usage of the computer tools in practical cases. We analytically solve the boundary value problem by using a special technique called a bispherical coordinates system and the numerical computations were obtained by a computer tool. In addition to these details, we will present step-by-step instructions with simple explanations throughout the book, in an effort to act as inspiration in the reader's own modeling for relevant applications in science and engineering. On the other hand, the resulting analytical expressions will constitute benchmark solutions for specified geometric arrangements, which are beneficial for determining the validity of other relevant numerical techniques. The generated results are analyzed quantitatively as well as qualitatively in various approaches. Moreover, the methodology of this book can be adopted for real-world applications in the fields of ferrohydrodynamics, applied electromagnetics, fluid dynamics, electrical engineering, and so forth. Higher-level university students, academics, engineers, scientists, and researchers involved in the aforementioned fields are the intended audience for this book.

Contents:

Preface

Acknowledgments

Symbols

Introduction

Numerical and Analytical Methods on Boundary Value Problems

Governing Equations

Mathematical Model

Results and Numerical Analysis

Conclusions

Solutions

Bibliography

Author's Biography

Index .

ISBN:

9783031020193

3031020197