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The present study addresses the reaction zone structure and burning mechanism of unstable detonations. Experiments investigated mainly two-dimensional methane-oxygen cellular detonations in a thin channel geometry. The sufficiently high…

A minimal model for curved detonations is studied, illustrating the role of the reaction rate on the detonation speed and its propagation limits. The model is based on a simple extension of the minimal Fickett toy model for detonations…

Fluid Dynamics · Physics 2023-12-08 Matei Ioan Petru Rădulescu , Aliou Sow

Methane/coal dust hybrid explosion is one of the common hazards in process and mining industries. In this study, methane detonation propagation in dilute coal char particle suspensions is studied based on Eulerian-Lagrangian method. The…

Fluid Dynamics · Physics 2022-08-02 Jingtai Shi , Pikai Zhang , Yong Xu , Wanxing Ren , Huangwei Zhang

An extension of the model described in a previous work of Maillet, Soulard and Stoltz based on a Dissipative Particule Dynamics is presented and applied to liquid nitromethane. Large scale non-equilibrium simulations of reacting…

Materials Science · Physics 2011-07-19 J. -B. Maillet , G. Vallverdu , N. Desbiens , G. Stoltz

The objective of this study is to establish a quantitative relationship between one-dimensional (1D) periodically oscillating detonation waves and two-dimensional (2D) regular cellular detonation waves. Numerical simulations were conducted…

Fluid Dynamics · Physics 2025-09-25 Yunfeng Liu

Regimes of chemical reaction wave propagating in reactive gaseous mixtures, whose chemistry is governed by chain-branching kinetics, are studied depending on the characteristics of a transient thermal energy deposition localized in a finite…

Chemical Physics · Physics 2015-03-13 Alexey D. Kiverin , David R. Kassoy , Mikhail F. Ivanov , Michael A. Liberman

Detonation of a three-dimensional reactive non-isotropic molecular crystal is modeled using molecular dynamics simulations. The detonation process is initiated by an impulse, followed by the creation of a stable fast reactive shock wave.…

Fluid Dynamics · Physics 2015-06-03 Morag Am-Shallem , Yehuda Zeiri , Sergey V. Zybin , Ronnie Kosloff

In this fluid dynamic video we present simulations of converging two-dimensional detonation in a radially expanding supersonic flow of ideal reactive gas. The detonation is found to be unstable and leads to formation of characteristic…

Fluid Dynamics · Physics 2012-10-18 A. Kasimov , S. Korneev

The role of viscous stress in heating of the fuel mixture in deflagration-to-detonation transition in tubes is studied both analytically and numerically. The analytical theory is developed in the limit of low Mach number; it determines…

In this paper the travelling wave solutions in the adiabatic model with two-step chain branching reaction mechanism are investigated both numerically and analytically in the limit of equal diffusivity of reactant, radicals and heat. The…

Pattern Formation and Solitons · Physics 2009-11-13 V. V. Gubernov , H. S. Sidhu , G. N. Mercer

The present work revisits the problem of modelling the real gaseous detonation dynamics at the macro-scale by simple steady one-dimensional (1D) models. Experiments of detonations propagating in channels with exponentially expanding…

Fluid Dynamics · Physics 2020-10-21 Qiang Xiao , Matei I. Radulescu

Laser-induced breakdown has shown many potential applications in the various field of science and engineering. As the breakdown occurs in gas or aerosol, a rapid hydrodynamic expansion as shock (blast) wave initiated from the deposition…

Plasma Physics · Physics 2019-02-01 A. P. Singh , U. P. Padhi , R. Joarder

A simplified model of particle transport at a quasiparallel one-dimensional collisionless shock is suggested. In this model the MHD-turbulence behind the shock is dominated by a circularly polarized, large amplitude Alfv\'en wave originated…

Astrophysics · Physics 2008-11-26 M. A. Malkov

When designing high-efficiency spark-ignition (SI) engines to operate at high compression ratios, one of the main issues that have to be addressed is detonation development from a pre-ignition front. In order to control this phenomenon, it…

The transition of shock-to-detonation is of great significance for the investigation of supernova formation, disaster prevention and supersonic propulsion technology. In this paper, the influence Equation of shock-to-detonation transition…

Fluid Dynamics · Physics 2024-08-07 Hao Yan , Haochen Xiong , Xin Han , Chongguang Shi , Yancheng You

The dynamics of frontal and transverse shocks in gaseous detonation waves is a complex phenomenon bringing many difficulties to both numerical and experimental research. Advanced laser-optical visualization of detonation structure may…

Fluid Dynamics · Physics 2021-03-25 Lin Zhou , Honghui Teng , Hoi Dick Ng , Pengfei Yang , Zonglin Jiang

We consider a two-component reaction-diffusion system that has previously been developed to model invasion of cells into a resident cell population. The system is an idealised version of models of tumour growth in which tumour cells degrade…

Analysis of PDEs · Mathematics 2025-12-16 Yuhui Chen , Michael C. Dallaston

We begin with the theoretical study of spectral energy cascade due to the propagation of high amplitude sound in the absence of thermal sources. To this end, a first-principles-based system of governing equations, correct up to second order…

Fluid Dynamics · Physics 2021-06-24 Prateek Gupta

The detonation behaviors during thermonuclear burning indicate a state of robust hot spot burning and are widely present in astronomical phenomena, such as supernovae. In this work, we propose an analytical model including alpha-particle…

Plasma Physics · Physics 2024-12-18 Bohan Shen , Junjue Liao , Renjie He , Zekun Xu , Fuyuan Wu , Jie Zhang

Sub-Chandrasekhar CO white dwarfs accreting helium have been considered as candidates for Type Ia supernova(SNIa) progenitors since the early 1980s (helium shell mass $> 0.1 M_\odot $). These models, once detonated did not fit the observed…

High Energy Astrophysical Phenomena · Physics 2018-03-05 Ami Glasner , Eli Livne , Elad Steinberg , Almog Yalinewich , James W. Truran