Theory of weakly nonlinear self-sustained detonations
Name
1407.8466.pdf
Size
3.85 MB
Format
Adobe PDF
Checksum (MD5)
26cf96dae40ca216eca628fd76cbc4a1
Author(s)
Faria, Luiz M.
Kasimov, Aslan R.
Rosales, Rodolfo
Date Issued
November 2015
Journal
Journal of Fluid Mechanics
Publisher
Cambridge University Press (CUP)
Citation
Faria, Luiz M. et al. “Theory of Weakly Nonlinear Self-Sustained Detonations.” Journal of Fluid Mechanics 784 (November 2015): 163–198 © 2015 Cambridge University Press
Version
Author's final manuscript
Abstract
We propose a theory of weakly nonlinear multidimensional self-sustained detonations based on asymptotic analysis of the reactive compressible Navier-Stokes equations. We show that these equations can be reduced to a model consisting of a forced unsteady small-disturbance transonic equation and a rate equation for the heat release. In one spatial dimension, the model simplifies to a forced Burgers equation. Through analysis, numerical calculations and comparison with the reactive Euler equations, the model is demonstrated to capture such essential dynamical characteristics of detonations as the steady-state structure, the linear stability spectrum, the period-doubling sequence of bifurcations and chaos in one-dimensional detonations and cellular structures in multidimensional detonations.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1017/JFM.2015.577
