Stability of spinning detonation waves

2015 ◽  
Vol 162 (6) ◽  
pp. 2660-2669 ◽  
Author(s):  
Yuwen Wu ◽  
John H.S. Lee

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.


1966 ◽  
Vol 26 (2) ◽  
pp. 321-336 ◽  
Author(s):  
D. H. Edwards ◽  
D. J. Parry ◽  
A. T. Jones

The structure and mode of propagation of spinning detonation waves in stoichiometric oxyhydrogen, at initial pressures of 20–30 mm, have been investigated. The waves were generated in a square-section tube and observations have been made by the smoked-film technique, spark schlieren photography and pressure gauges. At the front of the self-sustaining detonation waves obtained at these pressures, two Mach interactions exist, the trajectories of which are derived from the imprints made on the smoked foil. As the triple point traverses the tube section, its direction of motion is found to vary between 50° and 70° with the tube diameter. An analysis of a Mach triple point for these conditions predicts the absence of chemical reaction behind the Mach stem in the immediate neighbourhood of the triple point. Experimentally determined pressures and triple shock angles confirm, to within experimental error, the postulated theoretical configuration.


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).


2020 ◽  
Vol 310 (1) ◽  
pp. 185-201
Author(s):  
V. A. Levin ◽  
I. S. Manuylovich ◽  
V. V. Markov

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