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Full Description
This text introduces readers to magnetohydrodynamics (MHD), the physics of ionised fluids. Traditionally MHD is taught as part of a graduate curriculum in plasma physics. By contrast, this text - one of a very few - teaches MHD exclusively from a fluid dynamics perspective, making it uniquely accessible to senior undergraduate students. Part I of the text uses the MHD Riemann problem as a focus to introduce the fundamentals of MHD: Alfvén's theorem; waves; shocks; rarefaction fans; etc. Part II builds upon this with presentations of broader areas of MHD: fluid instabilities; viscid hydrodynamics; steady-state MHD; and non-ideal MHD. Throughout the text, more than 125 problems and several projects (with solutions available to instructors) reinforce the main ideas. Optionally, large-font lesson plans for a 'flipped-style' class are also available to instructors. This book is suitable for advanced undergraduate and beginning graduate students, requiring no previous knowledge of fluid dynamics or plasma physics.
Contents
Preface; Introduction; Part I. 1-D MHD in Ten Weeks: 1. The Fundamentals of Hydrodynamics; 2. Selected Applications of Hydrodynamics; 3. The Hydrodynamical Riemann Problem; 4. The Fundamentals of Magnetohydrodynamics; 5. MHD Waves and Discontinuities; 6. The MHD Riemann Problem; Part II. Additional Topics in (M)HD: 7. Fluid Instabilities; 8. Viscid Hydrodynamics; 9. Steady-State MHD; 10. Non-Ideal MHD; Appendices: A. Essentials of Vector Calculus; B. Essentials of Electrodynamics; C. The 'Conics' of PDEs; D. The Secant Method; E. Roots of a Cubic; F. Sixth-Order Runge-Kutta; G. Coriolis' Theorem; H. The Diffusion Equation; Variable Glossary; References; Index.
