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Gibson scaling and related properties of flame-surface geometry in turbulent premixed combustion are demonstrated using a novel computational model, Deterministic Turbulent Mixing (DTM). In DTM, turbulent advection is represented by a…

Astrophysics · Physics 2007-05-23 J. C. Niemeyer , A. R. Kerstein

Supersonic combustion plays a vital role in various applications, including scramjets, dual-mode ramjets, and pulse detonation engines. However, the flame characteristics can vary significantly, depending on the application. To model…

Fluid Dynamics · Physics 2023-06-21 Xu Zhu , Jian An , Nana Wang , Jian Zhang , Zhuyin Ren

A model for diffusion-controlled spherical particle growth is presented and solved numerically, showing how, on cooling at sufficient rate from a given fraction solid, growth velocity first increases, and then decreases rapidly when solute…

Materials Science · Physics 2007-05-23 R. A. Martinez , A. Karma , M. C. Flemings

In recent years, advances in computational power and spatial data analysis (GIS, remote sensing, etc) have led to an increase in attempts to model the spread and behvaiour of wildland fires across the landscape. This series of review papers…

Geophysics · Physics 2010-07-28 A. L. Sullivan

Inter-scale kinetic energy transfer in turbulent flows is accompanied by very intense and intermittent spatial-temporal fluctuations. Such intermittency is expected to be particularly prominent in premixed flames, where heat release,…

Fluid Dynamics · Physics 2024-05-20 Vladimir A. Sabelnikov , Andrei N. Lipatnikov

The ability to forecast grass fire spread could be of a great importance for agencies making decisions about prescribed burns. However, the usefulness of the models used for fire-spread predictions is limited by the time required for…

Atmospheric and Oceanic Physics · Physics 2011-12-23 Adam K. Kochanski , S. K. Krueger , M. A. Jenkins , J. Mandel , J. D. Beezley

The triple-flame system serves as the fundamental unit for understanding multi-flame interactions, revealing critical coupling mechanisms that scale to complex burner arrays. In this study, we investigated triple flame oscillators,…

Fluid Dynamics · Physics 2026-04-29 Hanxu Wang , Tao Yang , Yicheng Chi , Zhenyu Zhang , Peng Zhang

This paper is concerned with the analysis of speed-up of reaction-diffusion-advection traveling fronts in infinite cylinders with periodic boundary conditions. The advection is a shear flow with a large amplitude and the reaction is…

Analysis of PDEs · Mathematics 2011-12-15 Francois Hamel , Andrej Zlatos

Motivated by tumor growth and spatial population genetics, we study the interplay between evolutionary and spatial dynamics at the surfaces of three-dimensional, spherical range expansions. We consider range expansion radii that grow with…

Populations and Evolution · Quantitative Biology 2015-06-02 Maxim O. Lavrentovich , David R. Nelson

Wildland fires are complex multi-physics problems that span wide spatial scale ranges. Capturing this complexity in computationally affordable numerical simulations for process studies and "outer-loop" techniques (e.g., optimization and…

Laminar premixed flame profiles of methane/air free flames and strained flames at different fuel/air ratios and strain rates are analysed using detailed chemistry with Lewis numbers equal to one. It is shown that the detailed chemistry…

Fluid Dynamics · Physics 2021-12-21 Michael Pfitzner , Paola Breda

This paper presents simulations of stoichiometric methane/air premixed flames into a microchannel at atmospheric pressure. These simulations result from numerical resolutions of reduced-order models. Indeed, combustion control into…

Fluid Dynamics · Physics 2015-01-13 Federico Bianco , Sergio Chibbaro , Guillaume Legros

In this paper, we consider a reaction-diffusion system describing the propagation of flames under the assumption of ignition-temperature kinetics and fractional reaction order. It was shown in [3] that this system admits a traveling front…

Analysis of PDEs · Mathematics 2024-02-29 Amanda Matson , Claude-Michel Brauner , Peter V. Gordon

We introduce a simple mathematical model for bushfires accounting for temperature diffusion in the presence of a combustion term which is activated above a given ignition state. The model also takes into consideration the effect of the…

Analysis of PDEs · Mathematics 2024-05-31 Serena Dipierro , Enrico Valdinoci , Glen Wheeler , Valentina-Mira Wheeler

We study the expansion of a dilute ultracold sample of fermions initially trapped in a anisotropic harmonic trap. The expansion of the cloud provides valuable information about the state of the system and the role of interactions. In…

Soft Condensed Matter · Physics 2009-11-07 C. Menotti , P. Pedri , S. Stringari

An unconfined strongly swirled flow is investigated to study the effect of hydrogen addition on upstream flame propagation in a methane-air premixed flame using Large Eddy Simulation (LES) with a Thickened Flame (TF) model. A…

Fluid Dynamics · Physics 2021-02-10 Ashoke De , Sumanta Acharya

Forecasting bushfire spread is an important element in fire prevention and response efforts. Empirical observations of bushfire spread can be used to estimate fire response under certain conditions. These observations form rate-of-spread…

Machine Learning · Computer Science 2022-03-24 Andrew Bolt , Joel Janek Dabrowski , Carolyn Huston , Petra Kuhnert

Small-scale flickering buoyant diffusion flames in externally swirling flows were computationally investigated with a particular interest in identifying and characterizing various distinct dynamical behaviors of the flame oscillators under…

Fluid Dynamics · Physics 2023-03-29 Tao Yang , Yuan Ma , Peng Zhang

Diffusion of particles in velocity space undergoing turbulent field was extensively studied in the problem of warm beam relaxation. Under low field intensities the diffusion is described by the Fokker-Planck equation with the diffusion…

Plasma Physics · Physics 2007-05-23 Anatoly Zagorodny , Volodymyr Zasenko , Jan Weiland

Turbulent premixed flames are important for power generation using gas turbines. Improvements in characterization and understanding of turbulent flames continue particularly for transient events like ignition and extinction. Pockets or…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Rathziel Roncancio , Jupyoung Kim , Aly El Gamal , Jay P. Gore