ME69700 - Intermediate Shock and Detonation Theory
Students will learn the fundamentals of shock physics and detonation waves, and develop analytical tools for non-linear shocks in condensed matter.
Credit Hours: 3
Instructor(s): David Kittell
Learning Objective:
Students will be able to define what a shock wave is an how it forms, with an emphasis on schock waves in condensed matter. Proficiency in fundamental concepts, including: Hugonoit curve, Rayleigh line, shock impedance matching, lef-running and right-running characteristics, Riemann problem, Riemann integrals, Chapman-Jouguet theory, and Zel'dovich-von Neumann-Doering theory. Additional outcomes include: applying the governing equations across a moving shock wave, applying the second law of thermodynamics to bound dissipative (i.e. viscous) work done by shocks, applying concepts from thermochemistry to velocity of detonation calculations, and exercising commonly used models for equations of state, porosity, and finite reaction rates.
Description:
Students will learn the fundamentals of shock physics and detonation waves, and develop analytical tools for non-linear shocks in condensed matter. Students will learn about key solution methods, covering topics such as: shock impedance, Rankine-Hugonoit, equations of state, shock-change relations, Chapman Jouguet theory, and Zel'dovich-von Neumann-Doering theory. Additional topics will be presented to include the classical Riemann problem, shocks in porus media, and reactive burn models. This course emphasized first principle derivations with a preerence for analytical reasoning over reliance on hydrocodes
Topics Covered:
- Introduction to Nonlinear Shock Waves
- Bead Model with Interaction Physics
- Conservation Laws and the Second Law
- Shock Impedance Matching and Graphically-Based Solutions
- Riemann Integrals, Riemann Problem
- Introduction to Reactive Shock Waves
- Detonation Calculations
- Additional Models
Prerequisites:
Thermodynamics I & II, or equivalent, ME 525: Combustion, ME 510: Gas Dynamics, ME 620: Combustion of Energenic Materials, and MA 527: Mathematics for Engineers and Physicists I are strongly encouraged, but not required.
Web Address:
https://purdue.brightspace.com
Textbooks:
REQUIRED: Lecture notes provided by the instructor, typed supplemental materials for each module, and an optional book list. Students are encouraced to purchase a textbook, if one is suited to their own needs and research interests. From the below list, Forbes' Shock Wave Compression of Condensed Matter is the best overall choice.
OPTIONAL:
Explosives Engineering, Cooper, (Wiley-VCH, 1996)
Numerical Modeling of Explosives and Propellants, Mader, (CRC Press, Third Edition)
Detonation Theory and Experiment, Fickett and Davis, (Dover Ed., 2000)
Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Zel'dovich and Raizer, (Dover Ed., 2002 translated from Russian)
Shock Wave Compression of Condensed Matter, Forbes, (Springer, 2012)
Computer Simulation of Dynamic Phenomena, Wilkins, (Springer Berlin Heidelberg)
Riemann Solvers and Numerical Methods for Fluid Dynamics, Toro, (Springer Berlin Heidelberg, Third Edition)
Numerical Simulation of Reactive Flow, Oran and Boris (Cambridge University Press, Second Edition)