A Lagrangian approach was proposed to analyze induction and reaction times in the cellular gaseous detonation. Two-dimensional simulations an argon-diluted non-diluted hydrogen-based mixtures were performed with detailed chemistry, along particle trajectories. The distribution of inside cell significantly different between Eulerian perspectives, latter showing non-monotonic behavior. Preferential thermodynamic paths laid Rankine–Hugoniot curve behind transverse waves (TW). All particles...

The propagation of two-dimensional cellular gaseous detonation bounded by an inert layer is examined via computational simulations. analysis based on the high-order integration reactive Euler equations with a one-step irreversible reaction. To assess whether instabilities have significant influence yielding confinement, we achieved numerical simulations for several mixtures from very stable to mildly unstable. cell regularity was controlled through value activation energy, while keeping...

Abstract The Jones‐Wilkins‐Lee (JWL) model is a widely used Equation Of State (EOS) in the literature to high explosive products. It based on exponentially decaying isentropes pressure‐volume diagram, completed by an additional term meant recover ideal‐gas behavior for large expansions where exponential terms are negligible. A step‐by‐step analysis of EOS proposed. Starting from main isentrope, constant Grüneisen, and isochoric heat capacity, JWL expressions pressure, temperature, sound...

Many two-phase flow situations, from engineering science to astrophysics, deal with transition dense (high concentration of the condensed phase) dilute (low same phase), covering entire range volume fractions. Some models are now well accepted at two limits, but none able cover accurately range, in particular regarding waves propagation. In present work, an alternative Baer and Nunziato (BN) model [Baer, M. R. Nunziato, J. W., “A mixture theory for deflagration-to-detonation (DDT) reactive...

The propagation of multidimensional gaseous detonations at elevated pressures was investigated numerically. Initial conditions which deviations from ideal gas are expected (i.e., p0 > 2 MPa) were used to assess whether real effects influence their multi-cellular structure. simplest equation state that accounts for selected, Noble–Abel, and compared with the results obtained using perfect gas. Approximate exact relationships provided von-Neumann Chapman–Jouguet states, as well sound...

Abstract This paper deals with pressure relaxation procedures for multiphase compressible flow models. Such models have nice mathematical properties (hyperbolicity) and are able to solve a wide range of applications: interface problems, detonation physics, shock waves in mixtures, cavitating flows, etc. The numerical solution such involves several ingredients. One those ingredients is the instantaneous process particular importance. In this article, we present compare existing new terms both...

A numerical study of the propagation regular detonation waves is conducted in context narrow channels undergoing strong wall confinement. To deal with shock waves, chemical reactions, heat and viscous stresses, a high-order Navier-Stokes solver based on Weighted Essentially Non-Oscillatory (WENO) scheme, coupled Strang splitting method, used framework multi-species reacting mixtures. Results show that dissipative effects decrease speed wave compared to Chapman-Jouguet (CJ) velocity. In...

A methodology to develop predictive simplified kinetics schemes (one-step/three-step chainbranching) is presented in which detonation velocity-curvature (Dκ) curves computed with detailed thermochemistry are used as the fitting target aiming capture turning point of curve (κ crit ).This was motivated by similar trend observed between κ values obtained using Taileb et al. [1], fitted conventional methods, and critical reactive layer heights for propagation under yielding confinement (h )...

Abstract This investigation deals with the study of mean structure a mildly unstable non-ideal detonation wave. The analysis is based on integration one-dimensional reactive Euler equations friction forces using third-order Runge–Kutta scheme and fifth-order weighted essentially non-oscillatory (WENO5) spatial discretization. A one-step Arrhenius reaction mechanism used for modelling chemical reaction. When frictional are active, limit cycle post-shock pressure reveals an enhanced pulsating...