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Our recent development of a novel research burner has made it possible to experimentally investigate truly unstretched and planar diffusion flames. Hence it has become feasible to directly validate theoretical models for thermal-diffusive…

Fluid Dynamics · Physics 2025-04-09 Etienne Robert , Peter A. Monkewitz

The dynamics of flame propagation in systems with infinite Lewis number and spatially discretized sources of heat release is examined, which is applicable to the combustion of suspensions of fuel particles in air. The system is analyzed…

Fluid Dynamics · Physics 2016-06-14 XiaoCheng Mi , Andrew J. Higgins , Samuel Goroshin , Jeffrey M. Bergthorson

The stability of a thick planar premixed flame, propagating steadily in a direction transverse to that of unidirectional shear flow, is studied. A linear stability analysis is carried out in the asymptotic limit of infinitely large…

Fluid Dynamics · Physics 2024-06-28 Joel Daou , Prabakaran Rajamanickam

The wavefronts associated with a one-dimensional combustion model with Arrhenius kinetics and no heat loss are analyzed within the high Lewis number perturbative limit. This situation, in which fuel diffusivity is small in comparison to…

Pattern Formation and Solitons · Physics 2007-05-23 S. Balasuriya , G. A. Gottwald , J. Hornibrook , S. Lafortune

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

The propagation of cellularly stabilized thermonuclear flames is investigated by means of numerical simulations. In Type Ia supernova explosions the corresponding burning regime establishes at scales below the Gibson length. The cellular…

Astrophysics · Physics 2015-06-24 F. K. Roepke , W. Hillebrandt

This work presents an experimental set of Bunsen flames characterized by a moderate Reynolds number and a variable turbulence intensity. Ten lean hydrogen-enriched methane-air mixtures at three levels of turbulence are investigated, ranging…

Fluid Dynamics · Physics 2023-12-01 Guido Troiani , Pasquale Eduardo Lapenna , Francesco D'Alessio , Francesco Creta

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

Diffusion flame streets, observed in non-premixed micro-combustion devices, align parallel to a shear flow. They are observed to occur in mixtures with high Lewis number ($Le$) fuels, provided that the flow Reynolds number, or the Peclet…

Fluid Dynamics · Physics 2024-07-03 Prabakaran Rajamanickam , Aiden Kelly , Joel Daou

In this paper we study the stability of fronts in a reduction of a well-known PDE system that is used to model the combustion in hydraulically resistant porous media. More precisely, we consider the original PDE system under the assumption…

Pattern Formation and Solitons · Physics 2016-08-03 Anna Ghazaryan , Stephane Lafortune , Peter McLarnan

Preferential diffusion plays a critical role in the evolution of lean premixed hydrogen flames, influencing flame surface corrugation and overall flame behavior. Simulating such flames with tabulated chemistry (TC) methods remains…

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 study in a strip of $\mathbb R^2$ a combustion model of flame propagation with stepwise temperature kinetics and zero-order reaction, characterized by two free interfaces, respectively the ignition and the trailing fronts. The latter…

Analysis of PDEs · Mathematics 2018-07-09 Davide Addona , Claude-Michel Brauner , Luca Lorenzi , Wen Zhang

Two-dimensional direct numerical simulations of planar laminar premixed ammonia/hydrogen/air flames are conducted for a wide range of equivalence ratios, hydrogen ($\rm H_2$) fractions in the fuel blend, pressures, and unburned temperatures…

A computational study of morphological instabilities of a two-dimensional nematic front under directional growth was performed using a Landau-de Gennes type quadrupolar tensor order parameter model for the first-order isotropic/nematic…

Soft Condensed Matter · Physics 2009-08-20 Ezequiel R. Soulé , Nasser Mohieddin Abukhdeir. Alejandro D. Rey

In weakly magnetized, dilute plasmas in which thermal conduction along magnetic field lines is important, the usual convective stability criterion is modified. Instead of depending on entropy gradients, instability occurs for small…

Astrophysics · Physics 2009-11-13 Ian J. Parrish , James M. Stone

Imperfections in correlated materials can alter their ground state as well as finite-temperature properties in significant ways. Here, we develop a method based on numerical linked-cluster expansions for calculating exact finite-temperature…

Strongly Correlated Electrons · Physics 2019-05-15 Michael Mulanix , Demetrius Almada , Ehsan Khatami

Thermal-diffusional pulsation behaviors in planar as well as outwardly and inwardly propagating white dwarf carbon flames are systematically studied. In the 1D numerical simulation, the asymptotic degenerate equation of state and simplified…

High Energy Astrophysical Phenomena · Physics 2017-05-31 Guangzheng Xing , Yibo Zhao , Mikhail Modestov , Cheng Zhou , Yang Gao , Chung K. Law

The present work examines the role of instability and diffusive phenomena in controlling the limits of detonations subject to lateral strain rates. Experiments were conducted in hydrocarbon-oxygen mixtures with varying levels of cellular…

Fluid Dynamics · Physics 2020-10-22 Qiang Xiao , Matei I. Radulescu

Context: Magnetohydrodynamic thermal modes may play an important role in the formation, plasma condensation, and evolution of solar prominences. Unstable thermal modes due to unbalance between radiative losses and heating can lead to rapid…

Solar and Stellar Astrophysics · Physics 2015-06-03 Roberto Soler , Jose Luis Ballester , Susanna Parenti
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