Theoretical Magnetofluiddynamics


Book Description

Theoretical Magnetofluiddynamics provides an overview of the state of knowledge in magnetofluiddynamics and its applications. Magnetofluiddynamics is concerned with the study of the interaction between magnetic fields and fluid conductors of electricity. This discipline serves to unite classical fluid mechanics with electromagnetism of media in motion; therefore, it is equally of interest to students of electrodynamics and to those of aerodynamics. The former always think of speeds which are of the order of the speed of light while the latter confine their attention to speeds which are of the order of the speed of sound. This book contains six chapters and begins by establishing equations of magnetofluiddynamics in detail, both for motion with shock waves and for continuous motion. Subsequent chapters deal with weak discontinuities or discontinuities in the derivatives of the characteristic flow quantities; strong discontinuities or discontinuities in the characteristic flow quantities; and one-dimensional motion, motion in ducts, and structure of shock waves; and motion past obstacles.




Magneto-Fluid Dynamics


Book Description

This book provides an understanding of the physics at work in sunspots and solar coronal loops, and offers a new approach to Magneto-Fluid-Dynamics (or Magneto-Hydro-Dynamics).The book stresses the use of electric currents in Magneto-Fluid-Dynamics. As a rule, authors discuss magnetic field lines without referring to the required electric currents. It also stresses the importance of electric space charges inside conductors that move in magnetic fields.




Stochastic Tools in Turbulence


Book Description

Stochastic Tools in Turbulence discusses the available mathematical tools to describe stochastic vector fields to solve problems related to these fields. The book deals with the needs of turbulence in relation to stochastic vector fields, particularly, on three-dimensional aspects, linear problems, and stochastic model building. The text describes probability distributions and densities, including Lebesgue integration, conditional probabilities, conditional expectations, statistical independence, lack of correlation. The book also explains the significance of the moments, the properties of the characteristic function, and the Gaussian distribution from a more physical point of view. In considering fields, one must account for single-valued functions of one or more parameters, or collections of single-valued functions of one or more parameters such as time or space coordinates. The text also discusses multidimensional vector fields of finite energy, the characteristic eddies for a homogenous vector field, as well as, the distribution of solutions of an algebraic equation. Engineers, algebra students, and professors of statistics and advanced mathematics will find the book highly useful.




Magnetofluiddynamics in Channels and Containers


Book Description

The book deals with the theme of incompressible flows of electrically conducting fluids in hydraulic components. The main content of the book is a result of engineering research associated with the design of liquid metal cooling systems for fusion reactors. The book is well suited to serve as a guide for utilising magnetohydrodynamic means in other engineering disciplines such as in material processing, metallurgical engineering and power engineering.







Introduction to Singular Perturbations


Book Description

Introduction to Singular Perturbations provides an overview of the fundamental techniques for obtaining asymptomatic solutions to boundary value problems. This text explores singular perturbation techniques, which are among the basic tools of several applied scientists. This book is organized into eight chapters, wherein Chapter 1 discusses the method of matched asymptomatic expansions, which has been frequently applied to several physical problems involving singular perturbations. Chapter 2 considers the nonlinear initial value problem to illustrate the regular perturbation method, and Chapter 3 explains how to construct asymptotic solutions for general linear equations. Chapter 4 discusses scalar equations and nonlinear system, whereas Chapters 5 and 6 explain the contrasts for initial value problems where the outer expansion cannot be determined without obtaining the initial values of the boundary layer correction. Chapters 7 and 8 deal with boundary value problem that arises in the study of adiabatic tubular chemical flow reactors with axial diffusion. This monograph is a valuable resource for applied mathematicians, engineers, researchers, students, and readers whose interests span a variety of fields.




Handbook on Plasma Instabilities


Book Description

Handbook on Plasma Instabilities, Volume 1 serves as an introduction to the field of plasma physics and plasma instabilities. Topics covered include basic plasma physics, statistical plasma theory, and magnetohydrodynamics (MHD), as well as the many-species theory and plasma containment. The motion of individual particles, oscillations and waves, and MHD instabilities of a real and an ideal plasma are also discussed. This volume is comprised of 13 chapters and begins with a survey of the various applications of plasma sciences and an overview of the fundamental concepts of plasma physics. Basic plasma physics, the physics of instabilities, orbit theory, kinetic theory, MHD, and the many-fluid theory are then presented. The following chapters focus on the principles of plasma containment and waves in plasmas, together with the basic features of plasma instabilities and their classification. The classical MHD stability theory of an ideal and of a real plasma is also described. The final chapter is devoted to drift waves and drift instabilities in inhomogeneous plasmas, paying particular attention to the theory of gradient instabilities and the microscopic theory of waves in non-homogeneous collisionless plasmas. This handbook is intended for beginners in plasma physics and plasma instabilities and for physicists and engineers working actively in the field.




Analysis of Turbulent Boundary Layers


Book Description

Analysis of Turbulent Boundary Layers focuses on turbulent flows meeting the requirements for the boundary-layer or thin-shear-layer approximations. Its approach is devising relatively fundamental, and often subtle, empirical engineering correlations, which are then introduced into various forms of describing equations for final solution. After introducing the topic on turbulence, the book examines the conservation equations for compressible turbulent flows, boundary-layer equations, and general behavior of turbulent boundary layers. The latter chapters describe the CS method for calculating two-dimensional and axisymmetric laminar and turbulent boundary layers. This book will be useful to readers who have advanced knowledge in fluid mechanics, especially to engineers who study the important problems of design.




Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations


Book Description

This book presents recent results on nonlinear evolutionary fluid equations such as the compressible (radiative) magnetohydrodynamics (MHD) equations, compressible viscous micropolar fluid equations, the full non-Newtonian fluid equations and non-autonomous compressible Navier-Stokes equations. These types of partial differential equations arise in many fields of mathematics, but also in other branches of science such as physics and fluid dynamics. This book will be a valuable resource for graduate students and researchers interested in partial differential equations, and will also benefit practitioners in physics and engineering.




ARL [report]


Book Description