This monograph describes lumped-element modelling techniques for inductively-coupled pulsed accelerators, starting from the basic physical description of the various processes and then bringing all the pieces together into solutions. Coilguns, inductive pulsed plasma thrusters, and compact toroids have each been individually studied using the methods used in this monograph.
This monograph is of interest to researchers and graduate students in physics, engineering, and mathematics presently studying inductively-coupled pulsed accelerators.
Author(s): Ashley Hallock, Kamesh Sankaran, Kurt A. Polzin, Justin M. Little
Publisher: CRC Press
Year: 2022
Language: English
Pages: 104
City: Boca Raton
Cover
Half Title
Title Page
Copyright Page
Contents
Author Biographies
Acknowledgments
CHAPTER 1: Introduction
1.1. TAXONOMY OF INDUCTIVE-COUPLED ACCELERATORS
1.2. DOMAIN OF THE PRESENT WORK
1.3. APPLICABILITY OF THE MODELING TECHNIQUE
CHAPTER 2: Fundamental Concepts for Inductively-Coupled Pulsed Acceleration
2.1. RESISTANCE
2.2. CAPACITANCE AND STORED ELECTRICAL ENERGY
2.3. INDUCTANCE AND MAGNETIC FIELD ENERGY
2.4. VIRTUAL WORK AND ELECTROMAGNETIC FORCES
2.5. PERFORMANCE METRIC DEFINITIONS
CHAPTER 3: Electrical Circuits
3.1. GENERAL ELECTRICAL CIRCUITS FOR INDUCTIVELY-COUPLED PULSED ACCELERATORS
3.2. CALCULATING SELF AND MUTUAL INDUCTANCE
3.2.1. One Coil, One Body Mutual Inductance
3.2.1.1. Additional Simplifications
3.2.1.2. Example: Comparison of Methods to Find Mutual Inductance
3.2.2. Inductance of Radially-Compressed Bodies
3.2.3. Numerical Efforts of Note
CHAPTER 4: Equations of Motion
4.1. CONSERVATION EQUATIONS
4.1.1. Mass Conservation
4.1.2. Momentum Conservation
4.1.2.1. Solid Bodies
4.1.2.2. Plasmas
4.1.3. Energy Conservation
4.1.3.1. Solid Bodies
4.1.3.2. Plasmas
4.1.3.3. Additional Notes
4.2. MASS DISTRIBUTION AND ENTRAINMENT
4.2.1. Slug Mass
4.2.2. Constant Mass Distribution
4.2.3. Linear Mass Distribution
4.3. TRANSITION FROM RADIAL TO AXIAL MOTION
CHAPTER 5: Internal Models
5.1. LUMPED-CIRCUIT METHOD
5.1.1. Instabilities
5.1.2. Skin Effect
5.2. STATE OF MATTER
5.2.1. Metallic Solids
5.2.2. Plasmas
5.3. EQUATIONS-OF-STATE AND CLOSURE
CHAPTER 6: Illustrative Results
6.1. SETS OF MODELING EQUATIONS
6.1.1. Solid Non-Collapsing Projectile
6.1.2. Axially-Accelerating Plasma
6.1.2.1. Simplifications of Section 3.2.1.1
6.1.3. Conical Theta-Pinch Plasma
6.1.4. Plasmoid Accelerator
6.2. SELECT RESULTS AND EXAMPLES
6.2.1. Comparison of Models from Section 6.1.2
6.2.2. Coilguns
6.2.3. Axial Inductively-Coupled Planar Accelerators
6.2.3.1. Nondimensional Analysis
6.2.3.2. Comparison with Data
6.2.4. Conical Theta-Pinch Plasma Accelerators
CHAPTER 7: Concluding Remarks
Bibliography
Index
