# Geometric scaling for a detonation wave governed by a pressure-dependent reaction rate and yielding confinement

@article{Li2014GeometricSF, title={Geometric scaling for a detonation wave governed by a pressure-dependent reaction rate and yielding confinement}, author={Jianling Li and Xiaocheng Mi and Andrew J. Higgins}, journal={Physics of Fluids}, year={2014}, volume={27}, pages={027102} }

The propagation of detonation waves in reactive media bounded by an inert, compressible layer is examined via computational simulations in two different geometries, axisymmetric cylinders, and two dimensional, planar slabs. For simplicity, an ideal gas equation of state is used with a pressure-dependent reaction rate that results in a detonation wave structure that does not exhibit cellular instability. The detonation is initiated as an ideal Chapman-Jouguet (CJ) detonation with a one…

## 28 Citations

### The Influence of Spatial Heterogeneity in Energetic Material on Non-ideal Detonation Propagation

- Engineering, Chemistry31st International Symposium on Shock Waves 2
- 2019

A series of different explosive media, homogeneous or heterogeneous, was selected to examine the influences on detonation propagation in two-dimensional explosive slab bounded by a layer of inert gas…

### A computational study of the interaction of gaseous detonations with a compressible layer

- Engineering
- 2017

The propagation of two-dimensional cellular gaseous detonation bounded by an inert layer is examined via computational simulations. The analysis is based on the high-order integration of the reactive…

### Effect of spatial inhomogeneities on detonation propagation with yielding confinement

- EngineeringShock Waves
- 2018

The propagation of detonations in layers of reactive gas bounded by inert gas is simulated computationally in both homogeneous and inhomogeneous systems described by the two-dimensional Euler…

### Propagation Distance Required to Reach Steady-State Detonation Velocity in Finite-Sized Charges

- Physics
- 2014

The decay of a detonation wave from its initial CJ velocity to its final, steady state velocity upon encountering a finite thickness or diameter charge is investigated numerically and theoretically.…

### The effect of compaction of a porous material confiner on detonation propagation

- Physics, EngineeringJournal of Fluid Mechanics
- 2017

The fluid mechanics of the interaction between a porous material confiner and a steady propagating high explosive (HE) detonation in a two-dimensional slab geometry is investigated through analytical…

### Approaching Detonation Dynamics as an Ensemble of Interacting Waves

- Physics
- 2015

The success of the Chapman-Jouguet solution to the governing conservation laws in describing detonation propagation is remarkable, and the conceptual picture of a detonation wave as a quasi-steady…

### Transients following the loss of detonation confinement

- PhysicsJournal of Fluid Mechanics
- 2020

We present a theory for the evolution of a one-dimensional, steady-state detonation reaction zone to a two-dimensional reaction zone, when the explosive experiences a sudden loss of side-on…

### Computation of the mean hydrodynamic structure of gaseous detonations with losses

- Engineering, PhysicsShock Waves
- 2020

In this paper, computations of gaseous detonations in several configurations are performed and discussed. The objective is to investigate the detonation characteristics, specially the influence of…

### Detonation propagation in a circular arc: reactive burn modelling

- Materials Science, EngineeringJournal of Fluid Mechanics
- 2017

The dynamics of steady detonation propagation in a two-dimensional, high explosive circular arc geometry are examined computationally using a reactive flow model approach. The arc is surrounded by a…

## References

SHOWING 1-10 OF 47 REFERENCES

### Effect of Spatial Heterogeneity on Near-Limit Propagation of a Stable Detonation

- Chemistry, Engineering
- 2014

The effect of introducing a spatial heterogeneity into an explosive medium is studied computationally by examining the detonation velocity near the limit to propagation in a thin explosive layer. The…

### Effect of spatial heterogeneity on near-limit propagation of a pressure-dependent detonation

- Chemistry, Engineering
- 2015

### Propagation Distance Required to Reach Steady-State Detonation Velocity in Finite-Sized Charges

- Physics
- 2014

The decay of a detonation wave from its initial CJ velocity to its final, steady state velocity upon encountering a finite thickness or diameter charge is investigated numerically and theoretically.…

### Steady One-Dimensional Detonations

- Physics, Engineering
- 2012

While treatments of detonation wave propagation using control volume analysis, such as the Chapman–Jouguet (CJ) detonation solution presented in the prior chapter, are very successful in predicting…

### MEASUREMENT OF DETONATION VELOCITY FOR A NONIDEAL HETEROGENEOUS EXPLOSIVE IN AXISYMMETRIC AND TWO‐DIMENSIONAL GEOMETRIES

- Engineering
- 2009

Detonation in a heterogeneous explosive with a relatively sparse concentration of reaction centers (“hot spots”) is investigated experimentally. The explosive system considered is nitromethane gelled…

### Steady Non-ideal Detonations in Cylindrical Sticks of Explosives

- Physics, Engineering
- 2005

Numerical simulations of detonations in cylindrical rate-sticks of highly non-ideal explosives are performed, using a simple model with a weakly pressure-dependent rate law and a pseudo-polytropic…

### Stability of detonations for an idealized condensed-phase model

- PhysicsJournal of Fluid Mechanics
- 2008

The stability of travelling wave Chapman–Jouguet and moderately overdriven detonations of Zeldovich–von Neumann–Döring type is formulated for a general system that incorporates the idealized gas and…

### Stability of Chapman–Jouguet detonations for a stiffened-gas model of condensed-phase explosives

- EngineeringJournal of Fluid Mechanics
- 2006

The analysis of the linear stability of a planar Chapman–Jouguet detonation wave is reformulated for an arbitrary caloric (incomplete) equation of state in an attempt to better represent the…

### Cellular detonation stability. Part 1. A normal-mode linear analysis

- PhysicsJournal of Fluid Mechanics
- 1998

A detailed investigation of the hydrodynamic stability to transverse linear disturbances of a steady, one-dimensional detonation in an ideal gas undergoing an irreversible, unimolecular reaction with…

### The influence of a compressible boundary on the propagation of gaseous detonations

- Engineering, Physics
- 1965