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Weak detonations have remained experimentally elusive since their theoretical prediction, with previous realization attempts requiring either pathological detonations or Zeldovich spontaneous waves. Here, we demonstrate that stable weak…

Fluid Dynamics · Physics 2025-07-15 Youhi Morii , Kaoru Maruta

Multidimensional numerical simulations of a homogeneous, chemically reactive gas were used to study ignition, flame stability, and deflagration-to-detonation transition (DDT) in a supersonic combustor. The configuration studied was a…

Fluid Dynamics · Physics 2017-11-15 Gabriel B. Goodwin , Elaine S. Oran

The present study investigates the spatio-temporal variability in the dynamics of self-sustained supersonic reaction waves propagating through an excitable medium. The model is an extension of Fickett's detonation model with a state…

Fluid Dynamics · Physics 2013-05-29 Matei I. Radulescu , Justin Tang

Detonation propagation in a compressible medium wherein the energy release has been made spatially inhomogeneous is examined via numerical simulation. The inhomogeneity is introduced via step functions in the reaction progress variable,…

Deflagration-to-detonation transition (DDT) can occur in environments ranging from experimental and industrial systems to astrophysical thermonuclear (type Ia) supernovae explosions. Substantial progress has been made in explaining the…

High Energy Astrophysical Phenomena · Physics 2011-08-01 Alexei Y. Poludnenko , Thomas A. Gardiner , Elaine S. Oran

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

We show that converging spherical and cylindrical shock waves may ignite a detonation wave in a combustible medium, provided the radius at which the shocks become strong exceeds a critical radius, R_c. An approximate analytic expression for…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Doron Kushnir , Eli Livne , Eli Waxman

Simulations of a supersonic, premixed, reacting flow over a wedge were performed to investigate the effect of a boundary layer on the wedge surface on ignition and stability of oblique detonation waves (ODWs). Two computational domains were…

Fluid Dynamics · Physics 2020-05-28 Christian L. Bachman , Gabriel B. Goodwin

We are concerned with the global existence of entropy solutions of the two-dimensional steady Euler equations for an ideal gas, which undergoes a one-step exothermic chemical reaction under the Arrhenius-type kinetics. The reaction rate…

Analysis of PDEs · Mathematics 2013-11-07 Gui-Qiang Chen , Changguo Xiao , Yongqian Zhang

Dynamics of ethylene autoignition and Deflagration-to-Detonation Transition (DDT) in a one-dimensional shock tube are numerically investigated using a skeletal chemistry including 10 species and 10 reactions. Different combustion modes are…

Fluid Dynamics · Physics 2022-08-24 Zhiwei Huang , Huangwei Zhang

We perform a resolvent analysis of a compressible turbulent jet, where the optimisation domain of the response modes is located in the acoustic field, excluding the hydrodynamic region, in order to promote acoustically efficient modes. We…

Fluid Dynamics · Physics 2024-05-02 B. Bugeat , U. Karban , A. Agarwal , L. Lesshafft , P. Jordan

This paper presents results on the unboundedness and minimal speed of traveling wave solutions for a one-dimensional spatial reaction-diffusion equation with an asymptotically linear reaction term and a saturation parameter. By applying a…

Dynamical Systems · Mathematics 2026-05-11 Yu Ichida

Plasma outflow from a gravitational potential well with cosmic rays and self-excited Alfv\'en waves with cooling and wave damping is studied in the hydrodynamics regime. We study outflows in the presence of cosmic ray and Alfv\'en waves…

High Energy Astrophysical Phenomena · Physics 2021-10-20 C. M. Ko , B. Ramzan , D. O. Chernyshov

Sufficient conditions for either existence or non-existence of traveling wave solutions for a general quasi-linear reaction-diffusion-convection equation, possibly highly degenerate or singular, with discontinuous coefficients are…

Analysis of PDEs · Mathematics 2025-07-09 Umberto Guarnotta , Cristina Marcelli

A new self-similar solution describing the dynamical condensation of a radiative gas is investigated under a plane-parallel geometry. The dynamical condensation is caused by thermal instability. The solution is applicable to generic flow…

Astrophysics · Physics 2009-11-13 Kazunari Iwasaki , Toru Tsuribe

The structure of steady plane-parallel radiative shock waves propagating through the hydrogen gas undergoing partial ionization and excitation of bound atomic states is investigated in terms of the self-consistent solution of the equations…

Astrophysics · Physics 2007-05-23 Yu. A. Fadeyev , D. Gillet

We show that equations of Newtonian hydrodynamics and gravity describing one-dimensional steady gas flow possess nonlinear periodic solutions. In the case of a zero-pressure gas the solution exhibits hydrodynamic similarity and is…

Astrophysics of Galaxies · Physics 2019-06-26 Eugene B. Kolomeisky

We propose a 1D unsteady model for supersonic single-phase ejectors. The model treats an ejector as a pipe network with two inputs and one output and combines a 1D gas dynamics formulation in each `pipe' with a junction model for…

Fluid Dynamics · Physics 2024-01-17 Jan Van den Berghe , Bruno R. B. Dias , Yann Bartosiewicz , Miguel A. Mendez

This paper outlines a theoretical approach for predicting the onset of detonation in unconfined turbulent flames which is relevant both to problems of terrestrial combustion and to thermonuclear burning in Type Ia supernovae. Two basic…

Astrophysics · Physics 2007-05-23 A. M. Khokhlov , E. S. Oran , J. Craig Wheeler

In this paper, we continue our study [16] on the long time dynamics of radial solutions to defocusing energy critical wave equation with a trapping radial potential in 3 + 1 dimensions. For generic radial potentials (in the topological…

Analysis of PDEs · Mathematics 2015-06-17 Hao Jia , Baoping Liu , Wilhelm Schlag , Guixiang Xu
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