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Related papers: Thermal-Diffusional Instability in White Dwarf Fla…

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Three-dimensional numerical simulations of canonical statistically-steady statistically-planar turbulent flames have been used in an attempt to produce distributed burning in lean methane and hydrogen flames. Dilatation across the flame…

Fluid Dynamics · Physics 2019-05-22 A. J. Aspden , M. S. Day , J. B. Bell

In this paper we consider a classical model of gasless combustion in a one dimensional formulation under the assumption of ignition temperature kinetics. We study the propagation of flame fronts in this model when the initial distribution…

Pattern Formation and Solitons · Physics 2024-03-06 Amanda Matson , Leonid Kagan , Claude-Michel Brauner , Gregory Sivashinsky , Peter V. Gordon

This work presents an experimental study of a nanosecond repetitively pulsed dielectric barrier discharge interacting with a transient laminar flame propagating in a channel of height near the quenching distance of the flame. The discharge…

Plasma Physics · Physics 2022-12-07 Colin A. Pavan , Carmen Guerra-Garcia

Planar flames are intrinsically unstable in open domains due to the thermal expansion across the burning front--the Landau-Darrieus instability. This instability leads to wrinkling and growth of the flame surface, and corresponding…

Astrophysics · Physics 2009-11-10 J. B. Bell , M. S. Day , C. A. Rendleman , S. E. Woosley , M. Zingale

We analyze the sensitivity of the flame propagation in a Chandrasekhar mass white dwarf to initial conditions during the subsonic burning phase, using 2D simulations of the full WD. Results are presented for a wide variety of initial flame…

Astrophysics · Physics 2009-11-11 Eli Livne , Shimon M. Asida , Peter Hoeflich

We analyze the propagatory nucleus-acoustic wave (NAW) modes excitable in the completely degenerate (CD) core and in its nearly degenerate (ND) ambience of the ONe and CO white dwarfs (WDs). It is based on three-component spherical…

Solar and Stellar Astrophysics · Physics 2023-05-31 Sayanti Dasgupta , Ahmed Atteya , Pralay Kumar Karmakar

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turbulence disrupts the internal structure of the flame, and so the idea of laminar burning propagated by conduction is no longer valid.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 flame born in the deep interior of a white dwarf that becomes a Type Ia supernova is subject to several instabilities. We briefly review these instabilities and the corresponding flame acceleration. We discuss the conditions necessary…

Astrophysics · Physics 2009-10-28 J. C. Niemeyer , S. E. Woosley

Premixed flames are susceptible to hydrodynamic and thermodiffusive instabilities that wrinkle the flame front and lead to complex multiscale patterns. They strongly impact the flame propagation and dynamics, increasing the speed of a…

Analyzed in this paper are three-dimensional Direct Numerical Simulation (DNS) data obtained from seven statistically planar and one-dimensional, lean complex-chemistry hydrogen-air flames propagating in a box with forced turbulence. The…

Fluid Dynamics · Physics 2025-04-09 H. C. Lee , P. Dai , M. Wan , Andrei N. Lipatnikov

Polluted white dwarfs (WDs) with small surface convection zones deposit significant concentrations of heavy elements to the underlying radiative interior, presumably driving thermohaline convection. Current models of polluted WDs frequently…

Solar and Stellar Astrophysics · Physics 2025-03-28 Imogen G. Cresswell , Adrian E. Fraser , Evan B. Bauer , Evan H. Anders , Benjamin P. Brown

We continue to investigate two-dimensional laterally propagating flames in type I X-ray bursts using fully compressible hydrodynamics simulations. In the current study we relax previous approximations where we artificially boosted the…

High Energy Astrophysical Phenomena · Physics 2021-05-12 A. Harpole , N. M. Ford , K. Eiden , M. Zingale , D. E. Willcox , Y. Cavecchi , M. P. Katz

A simple model which exhibits dynamical flame properties in 1D is presented. It is investigated analytically and numerically. The results are applicable to problems of flame propagation in supernovae Ia.

High Energy Astrophysical Phenomena · Physics 2015-05-20 S. I. Glazyrin , P. V. Sasorov

We explore numerically the morphological patterns of thermo-diffusive instabilities in combustion fronts with a continuum fuel source, within a range of Lewis numbers and ignition temperatures, focusing on the cellular regime. For this…

Fluid Dynamics · Physics 2017-03-08 Hossein Azizi , Sebastian Gurevich , Nikolas Provatas

Theoretical work has shown that intermediate mass (0.01Msun<M_He<0.1Msun) Helium shells will unstably ignite on the accreting white dwarf (WD) in an AM CVn binary. For more massive (M>0.8Msun) WDs, these helium shells can be dense enough…

Solar and Stellar Astrophysics · Physics 2015-06-05 Dean M. Townsley , Kevin Moore , Lars Bildsten

The standard theory of pulsations deals with the frequencies and growth rates of infinitesimal perturbations in a stellar model. Modes which are calculated to be linearly driven should increase their amplitudes exponentially with time; the…

Solar and Stellar Astrophysics · Physics 2020-02-19 M. H. Montgomery , J. J. Hermes , D. E. Winget , B. H. Dunlap , K. J. Bell

The critical dimension necessary for a flame to propagate in suspensions of fuel particles in oxidizer is studied analytically and numerically. Two types of models are considered: First, a continuum model, wherein the individual particulate…

Fluid Dynamics · Physics 2019-12-23 Fredric Y. K. Lam , XiaoCheng Mi , Andrew J. Higgins

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…

Premixed flames propagating within small channels show complex combustion phenomena that differ from flame propagation at conventional scales. Available experimental and numerical studies have documented stationary/non-stationary and/or…

Fluid Dynamics · Physics 2016-08-02 Mohsen Ayoobi , Ingmar Schoegl

The one-dimensional (1D) problem on bilatiral irradiation by proton beams of the plane layer of condensed DT mixture with length $2H$ and density $\rho_0 \leqslant 100\rho_s$, where $\rho_s$ is the fuel solid-state density at atmospheric…

Plasma Physics · Physics 2015-06-23 Alexander A. Charakhch'yan , Konstantin V. Khishchenko