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We investigate self-excited axisymmetric oscillations of a lean premixed methane--air V-flame in a laminar annular jet. The flame is anchored near the rim of the centrebody, forming an inverted cone, while the strongest vorticity is…

Fluid Dynamics · Physics 2024-11-20 Chuhan Wang , Christopher M. Douglas , Yu Guan , Chunxiao Xu , Lutz Lesshafft

We study front solutions of a system that models combustion in highly hydraulically resistant porous media. The spectral stability of the fronts is tackled by a combination of energy estimates and numerical Evans function computations. Our…

Pattern Formation and Solitons · Physics 2014-11-12 Anna Ghazaryan , Stephane Lafortune , Peter McLarnan

The influence of the small scale ``cellular'' structure of premixed flames on their evolution at larger scales is investigated. A procedure of the space-time averaging of the flow variables over flame cells is introduced. It is proved that…

Fluid Dynamics · Physics 2007-05-23 Kirill A. Kazakov

We present an adjoint-based method for the calculation of eigenvalue perturbations in nonlinear, degenerate and non self-adjoint eigenproblems. This method is applied to a thermo-acoustic annular combustor network, the stability of which is…

Fluid Dynamics · Physics 2016-08-05 Luca Magri , Michael Bauerheim , Matthew Juniper

This study introduces a novel experimental configuration using OH-PLIF imaging to directly determine the stretch factor ($I_0$) in laminar premixed hydrogen flames transitioning from a quasi-stable to a thermodiffusively unstable regime. A…

The three-dimensional diffusive-thermal stability of a two-dimensional flame propagating in a Poiseuille flow is examined. The study explores the effect of three non-dimensional parameters, namely the Lewis number $Le$, the Damk\"ohler…

Fluid Dynamics · Physics 2024-07-09 Aiden Kelly , Prabakaran Rajamanickam , Joel Daou , Julien R. Landel

The present study makes use of the adjoint modes of the Linearized Reactive Flow (LRF) equations to investigate the Intrinsic Thermoacoustic (ITA) feedback loop of a laminar premixed slit flame. The analysis shows that the ITA feedback loop…

Fluid Dynamics · Physics 2023-07-25 Grégoire Varillon , Philipp Brokof , Wolfgang Polifke

The present study employs a linear global stability analysis to investigate buoyancy-induced flickering of axisymmetric laminar jet diffusion flames as a hydrodynamic global mode. The instability-driving interactions of the buoyancy force…

Fluid Dynamics · Physics 2019-12-10 D. Moreno-Boza , W. Coenen , A. Sevilla , J. Carpio , A. L. Sánchez , A. Liñán

It is well known that the linear stability of solutions of partial differential equations which are integrable can be very efficiently investigated by means of spectral methods. We present here a direct construction of the eigenmodes of the…

Exactly Solvable and Integrable Systems · Physics 2018-06-18 Antonio Degasperis , Sara Lombardo , Matteo Sommacal

Reactive flows in confined spaces involve complex flame-wall interaction (FWI). This work aims to gain more insights into the physics of the premixed near-wall flame and the wall heat flux as an important engineering relevant quantity. Two…

Fluid Dynamics · Physics 2025-10-31 Kunlin Li , Chenlin Guo , Zhaofan Zhu , Haiou Wang , Lipo Wang

The problem of burning of high-velocity gas streams in channels is revisited. Previous treatments of this issue are found to be incomplete. It is shown that despite relative smallness of the transversal gas velocity, it plays crucial role…

Fluid Dynamics · Physics 2015-05-13 Kirill A. Kazakov

Supernovae of Type Ia are used as standard candles for cosmological observations despite the as yet incomplete understanding of their explosion mechanism. In one model, these events are thought to result from subsonic burning in the core of…

Astrophysics · Physics 2009-11-10 L. J. Dursi

In this paper we consider ignition-temperature, first-order reaction model of thermo-diffusive combustion that describes dynamics of thick flames arising in a theory of combustion of hydrogen-oxygen and ethylene-oxygen mixtures. These…

Chaotic Dynamics · Physics 2017-04-03 Nathan Kilker , Dmitry Golovaty , Peter V. Gordon , Leonid Kagan , Gregory I. Sivashinsky

(Abridged) A series of three-dimensional numerical simulations is used to study the intrinsic stability of high-speed turbulent flames. Calculations model the interaction of a fully-resolved premixed flame with a highly subsonic,…

High Energy Astrophysical Phenomena · Physics 2015-01-16 A. Y. Poludnenko

A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is performed to study the conditions for stability of a suspension of solid particles immersed in a viscous gas. The dissipation in such…

Statistical Mechanics · Physics 2017-03-28 Rubén Gómez González , Vicente Garzó

We consider the propagation of short waves which generate waves of much longer (infinite) wave-length. Model equations of such long wave-short wave resonant interaction, including integrable ones, are well-known and have received much…

Exactly Solvable and Integrable Systems · Physics 2021-09-10 Marcos Caso-Huerta , Antonio Degasperis , Sara Lombardo , Matteo Sommacal

This study presents a comprehensive a priori analysis of tabulated-chemistry models for both laminar and turbulent lean premixed hydrogen flames in strained counterflow configuration. Particular focus is drawn on differential and…

In the distributed burning regime, turbulence disrupts the internal structure of the flame, and so the idea of laminar burning propagated by conduction is no longer valid. The nature of the burning depends on the turbulent Damkohler number…

High Energy Astrophysical Phenomena · Physics 2011-07-14 A J Aspden , J B Bell , S E Woosley

The main characteristics of the linear Darrieus-Landau instability in the laser ablation flow are investigated. The dispersion relation of the instability is found numerically as a solution to an eigenvalue stability problem, taking into…

Plasma Physics · Physics 2012-09-14 Mikhail Modestov , Vitaly Bychkov , Damir Valiev , Mattias Marklund

Recent studies within the diffusive-thermal (constant-density) approximation have shown that, for premixed flames freely propagating in narrow adiabatic channels, the instabilities induced by differential diffusion may result in…