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Related papers: Thermal-diffusive instabilities in unstretched, pl…

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A simplified phenomenological model is proposed to couple the long-wave Darrieus--Landau (DL) instability and the short-wave diffusive-thermal (DT) instability in premixed flames. By identifying a cubic coupling term in the linear…

Fluid Dynamics · Physics 2026-04-08 Prabakaran Rajamanickam

We describe spatial and temporal patterns in cylindrical premixed flames in the cellular regime, $Le < 1$, where the Lewis number $Le$ is the ratio of thermal to mass diffusivity of a deficient component of the combustible mixture. A…

patt-sol · Physics 2009-10-28 A. Bayliss , B. J. Matkowsky , H. Riecke

The structure of flame filaments resulting from chaotic mixing within a combustion reaction is considered. The transverse profile of the filaments is investigated numerically and analytically based on a one-dimensional model that represents…

Chaotic Dynamics · Physics 2007-05-23 Istvan Zoltan Kiss , J. H. Merkin , S. K. Scott , P. L. Simon , S. Kalliadasis , Zoltan Neufeld

This paper presents an experimental study of the influence of heat losses on the onset of thermoacoustic instabilities in methane-air premixed flames propagating in a horizontal tube of small diameter, $D = 10$ mm. Flames are ignited at the…

There is renewed interest in direct-drive inertial confinement fusion, following the milestone December 2022 3.15 MJ ignition result on the National Ignition Facility. A key obstacle is the control of the two plasmon decay instability.…

Recent experimental observations have demonstrated interesting instability phenomenon during thermal drawing of microstructured glass/polymer fibers, and these observations motivate us to examine surface-tension-driven instabilities in…

Fluid Dynamics · Physics 2011-08-12 D. S. Deng , J. -C. Nave , X. Liang , S. G. Johnson , Y. Fink

This study presents a systematic characterization of burner-stabilized lean hydrogen flame morphology across a wide range of equivalence ratios, dilution factors, and flow rates. Spatially resolved measurements of three-dimensional…

Fluid Dynamics · Physics 2025-09-17 Zeyu Yan , Xiangyu Nie , Shuoxun Zhang , Shengkai Wang

We present a numerical and analytical study of the thermal fragmentation of a turbulent flow of interstellar hydrogen. We first present the different dynamical processes and the large range of spatial (and temporal) scales that need to be…

Astrophysics · Physics 2009-11-10 E. Audit , P. Hennebelle

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

The renormalization ideas of self-similar dynamics of a strongly turbulent flame front are applied to the case of a flame with realistically large thermal expansion of the burning matter. In that case a flame front is corrugated both by…

Fluid Dynamics · Physics 2012-10-22 Vitaly Bychkov , Vyacheslav Akkerman , Arkady Petchenko

We provide a mathematical analysis of a thermo-diffusive combustion model of lean spray flames, for which we prove the existence of travelling waves. In the high activation energy singular limit we show the existence of two distinct…

Classical Analysis and ODEs · Mathematics 2017-03-06 Pierre Berthonnaud , Komla Domelevo

We revisit the diffusive instability in dusty disks that arises when the dust mass diffusivity and/or viscosity decreases sufficiently steeply with increasing dust density. Our updated model includes an incompressible, viscous gas that…

Earth and Planetary Astrophysics · Physics 2026-02-19 Konstantin Gerbig , Min-Kai Lin

We present a numerical model which allows us to investigate thermonuclear flames in Type Ia supernova explosions. The model is based on a finite-volume explicit hydrodynamics solver employing PPM. Using the level-set technique combined with…

Astrophysics · Physics 2009-11-07 F. K. Roepke , J. C. Niemeyer , W. Hillebrandt

Rayleigh-Taylor (RT) unstable flames play a key role in the explosions of Type Ia supernovae. However, the dynamics of these flames is still not well-understood. RT unstable flames are affected by both the RT instability of the flame front…

Solar and Stellar Astrophysics · Physics 2015-05-04 E. P. Hicks

In order to reduce CO2 emissions, hydrogen combustion has become increasingly relevant for technical applications. In this context, lean H2-air flames show promising features but, among other characteristics, they tend to exhibit…

Convection in planets and stars is predicted to occur in the "ultimate regime'' of diffusivity-free, rapidly rotating turbulence, in which flows are characteristically unaffected by viscous and thermal diffusion. Boundary layer diffusion,…

Fluid Dynamics · Physics 2025-04-21 Jewel A. Abbate , Yufan Xu , Tobias Vogt , Susanne Horn , Keith Julien , Jonathan M. Aurnou

We study electromagnetic streaming instabilities in thermal viscous regions of rotating astrophysical objects, such as, protostellar and protoplanetary magnetized accretion disks, molecular clouds, their cores, and elephant trunks. The…

Astrophysics of Galaxies · Physics 2015-05-14 A. K. Nekrasov

We study the evolution of a reactive field advected by a one-dimensional compressible velocity field and subject to an ignition-type nonlinearity. In the limit of small molecular diffusivity the problem can be described by a spatially…

Statistical Mechanics · Physics 2009-11-13 S. Berti , D. Vergni , A. Vulpiani

Particle dynamics are investigated in plasma turbulence, using self-consistent kinetic simulations, in two dimensions. In steady state, the trajectories of single protons and proton-pairs are studied, at different values of plasma "beta"…

Plasma Physics · Physics 2016-08-31 S. Servidio , C. T. Haynes , W. H. Matthaeus , D. Burgess , V. Carbone , P. Veltri

We propose a predictive model of the turbulent burning velocity over a wide range of conditions. The model consists of sub models of the stretch factor and the turbulent flame area. The stretch factor characterizes the flame response of…

Fluid Dynamics · Physics 2024-07-25 Zhen Lu , Yue Yang