The Bukiet-Jones Theory of Weak Detonation Waves in Curvilinear Geometry

Author(s):  
James Glimm
2015 ◽  
Vol 27 (2) ◽  
pp. 237-260 ◽  
Author(s):  
Jeffrey Hendricks ◽  
Jeffrey Humpherys ◽  
Gregory Lyng ◽  
Kevin Zumbrun

The fluid motion of chemically reacting gases in a weak detonation wave is examined with a view to finding a dynamical theory of the spin phenomenon. It is shown that a reacting gas in which the rate of reaction increases with temperature is unstable with respect to wave motion. The amplitude of any wave tends to increase exponentially with time until the growth rate is checked by some dissipative process. Two such processes are examined: first, the drag on a rotating wave at the boundary of the tube, and secondly, the development of weak transverse shocks from the large amplitude acoustic waves in the reaction zone. The formulae obtained are compared with observations and are shown to be not inconsistent with the proposed mechanism of the spinning detonation wave.


AIAA Journal ◽  
1978 ◽  
Vol 16 (10) ◽  
pp. 1035-1040 ◽  
Author(s):  
Tim G. Adams

1953 ◽  
Vol 4 (1) ◽  
pp. 464-467 ◽  
Author(s):  
A.R. Ubbelohde

Author(s):  
A. I. Lopato ◽  
◽  
A. G. Eremenko ◽  

Recently, we developed a numerical approach for the simulation of detonation waves on fully unstructured grids and applied it to the numerical study of the mechanisms of detonation initiation in multifocusing systems. Current work is devoted to further development of our numerical approach, namely, parallelization of the numerical scheme and introduction of more comprehensive detailed chemical kinetics scheme.


Author(s):  
V. A. SABELNIKOV ◽  
◽  
V. V. VLASENKO ◽  
S. BAKHNE ◽  
S. S. MOLEV ◽  
...  

Gasdynamics of detonation waves was widely studied within last hundred years - analytically, experimentally, and numerically. The majority of classical studies of the XX century were concentrated on inviscid aspects of detonation structure and propagation. There was a widespread opinion that detonation is such a fast phenomenon that viscous e¨ects should have insigni¦cant in§uence on its propagation. When the era of calculations based on the Reynolds-averaged Navier- Stokes (RANS) and large eddy simulation approaches came into effect, researchers pounced on practical problems with complex geometry and with the interaction of many physical effects. There is only a limited number of works studying the in§uence of viscosity on detonation propagation in supersonic §ows in ducts (i. e., in the presence of boundary layers).


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