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G-equations are well-known front propagation models in turbulent combustion and describe the front motion law in the form of local normal velocity equal to a constant (laminar speed) plus the normal projection of fluid velocity. In level…

Analysis of PDEs · Mathematics 2015-05-19 Yu-Yu Liu , Jack Xin , Yifeng Yu

Lean premixed hydrogen-air flames are strongly affected by thermodiffusive (TD) instabilities, which can alter the flame structure and enhance the local reactivity many-fold. Two recent models (Howarth et al. (Combust.~Flame 253, 2023) and…

The multiscale nature of turbulent combustion necessitates accurate and computationally efficient methods for direct numerical simulations (DNS). The field has long been dominated by high-order finite differences, which lack the flexibility…

Fluid Dynamics · Physics 2024-01-24 Jack R. C. King

This study performs a linear analysis of a turbulent reacting methane-air jet flame, with the goal of predicting the response of the reacting flow to upstream acoustic actuation. Accounting for heat release fluctuations is a vital component…

This study investigates the characteristics of nitrogen oxide (NO) formation in two-dimensional (2D) laminar premixed ammonia/hydrogen/air flames and the impact of thermodiffusively driven intrinsic flame instabilities (IFIs). To this end,…

Fluid Dynamics · Physics 2026-03-18 Terence Lehmann , Nikita Dimidziev , Thomas L. Howarth , Michael Gauding , Heinz Pitsch

Conjugate heat transfer is a challenging fluid-structure coupling problem that can significantly influence flame stabilization and thermoacoustic instabilities. To properly capture combustion phenomena that involve conjugate heat transfer,…

Fluid Dynamics · Physics 2024-12-19 Lu Chen , Wai Lee Chan , Yu Lv

Qualitatively new aspects of the (linear and non-linear) stability of sheared relativistic (slab) jets are analyzed. The linear problem has been solved for a wide range of jet models well inside the ultrarelativistic domain (flow Lorentz…

Astrophysics · Physics 2009-06-23 Manuel Perucho , Michal Hanasz , Jose-Maria Marti , Juan-Antonio Miralles

The response to small perturbations of the Sandia CH4/air flame series is studied using a dynamical systems formula- tion. Here, the Sandia D and E turbulent partially-premixed flames are computed using large eddy simulation (LES) with a…

Fluid Dynamics · Physics 2018-06-11 Malik Hassanaly , Venkat Raman

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

The Darrieus--Landau instability of premixed flames propagating in a narrow Hele-Shaw channel in the presence of a strong shear flow is investigated, incorporating also the Rayleigh--Taylor and diffusive-thermal instabilities. The flow…

Fluid Dynamics · Physics 2024-08-16 Prabakaran Rajamanickam , Joel Daou

Steady propagation of premixed flames in straight channels is studied numerically using the on-shell approach. A first numerical algorithm for solving the system of nonlinear integro-differential on-shell equations is presented. It is based…

Fluid Dynamics · Physics 2018-09-26 Kirill A. Kazakov , Oleg G. Kharlanov

Direct interactions between the flow field and the chemical reaction in premixed flames occur when the reaction zone thickness is comparable to, or greater than flow length scales. To study such interactions, a laminar model is considered…

Fluid Dynamics · Physics 2024-07-02 Prabakaran Rajamanickam , Joel Daou

Given the need to develop zero-carbon combustors for power and aircraft engine applications, $S_d$ of a turbulent premixed flame, especially for H$_2$-air, is of immediate interest. The present study investigates 3D DNS cases of premixed…

We study the planar front solution for a class of reaction diffusion equations in multidimensional space in the case when the essential spectrum of the linearization in the direction of the front touches the imaginary axis. At the linear…

Analysis of PDEs · Mathematics 2017-12-11 Anna Ghazaryan , Yuri Latushkin , Xinyao Yang

Fuel-lean hydrogen combustion systems hold significant potential for low pollutant emissions, but are also susceptible to intrinsic combustion instabilities. While most research on these instabilities has focused on flames without wall…

Fluid Dynamics · Physics 2025-07-14 Max Schneider , Hendrik Nicolai , Vinzenz Schuh , Matthias Steinhausen , Christian Hasse

The existence and structure of steady gaseous detonation propagating in a packed bed of solid inert particles are analyzed in the one-dimensional approximation by taking into consideration frictional and heat losses between the gas and the…

Fluid Dynamics · Physics 2013-12-10 Roman Semenko , Luiz Faria , Aslan Kasimov , Boris Ermolaev

The fractal scaling properties of turbulent premixed flame fronts have been investigated and considered for modelling sub-grid scales in the Large-Eddy-Simulation framework. Since the width of such thin reaction fronts cannot be resolved…

Fluid Dynamics · Physics 2017-02-17 Francesco Battista , Guido Troiani , Francesco Picano

In this contribution, velocity and its dissipation spectra in turbulent non-premixed jet flames are investigated by using two Direct Numerical Simulation (DNS) databases of temporally evolving jets with different bulk jet Reynolds numbers.…

Fluid Dynamics · Physics 2019-10-04 Ali Shamooni , Alberto Cuoci , Tiziano Faravelli , Amsini Sadiki

In this work, we aim to establish a detailed description of the physical mechanisms of intrinsic thermoacoustic modes and their interplay with duct acoustic modes. The biglobal linear stability analysis of an anchored laminar flame in an…

Fluid Dynamics · Physics 2024-09-26 Lu Chen , Yu Lv

Context. The study of linear waves and instabilities is necessary to understand the physical evolution of an atmosphere, and can provide physical interpretation of the complex flows found in simulations performed using Global Circulation…

Earth and Planetary Astrophysics · Physics 2019-10-16 Florian Debras , Nathan Mayne , Isabelle Baraffe , Tom Goffrey , John Thuburn