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An experimental study of methane, propane and dimethyl ether (DME) pre-mixed flames propagating in a quasi-two-dimensional Hele-Shaw cell placed horizontally is presented in this paper. The flames are ignited at the open end of the…

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 three-dimensional diffusive-thermal stability of a two-dimensional flame propagating in a Poiseuille flow is examined. The study explores the effect of three non-dimensional parameters, namely the Lewis number $Le$, the Damk\"ohler…

Fluid Dynamics · Physics 2024-07-09 Aiden Kelly , Prabakaran Rajamanickam , Joel Daou , Julien R. Landel

A high-pressure hydrogen micromix combustor has been investigated using direct numerical simulation with detailed chemistry to examine the flame structure and stabilisation mechanism. The configuration of the combustor was based on the…

The two-dimensional propagation of small-amplitude waves through an infinite periodic array of freely-floating rectangular floes is considered under the assumptions of inviscid linearised wave theory. Fluid gaps between adjacent floes allow…

Fluid Dynamics · Physics 2026-03-17 Lloyd Dafydd , Richard Porter

This work presents a numerical study of a diffusion flame in a reacting, two-dimensional, turbulent, viscous, multi-component, compressible mixing layer subject to a large favorable streamwise pressure gradient. The boundary-layer equations…

Fluid Dynamics · Physics 2026-04-01 Sylvain L. Walsh , Lei Zhan , Carsten Mehring , Feng Liu , William A. Sirignano

Flame propagation through a non-volatile solid-fuel suspension is studied using a simplified, time-dependent numerical model that considers the influence of both diffusional and kinetic rates on the particle combustion process. It is…

The morphology of flame fronts propagating in reactive systems comprised of randomly positioned, point-like sources is studied. The solution of the temperature field and the initiation of new sources is implemented using the superposition…

Fluid Dynamics · Physics 2017-07-19 Fredric Lam , XiaoCheng Mi , Andrew J. Higgins

The paper examines the mechanism of the tulip flame formation for the flames propagating in closed tubes of various aspect ratios and in a half-open tube. The formation of tulip flames in 2D channels is studied using high resolution direct…

Fluid Dynamics · Physics 2023-12-05 Mikhail A. Liberman , Chengeng Qian , Cheng Wang

We regard drift-diffusion equations for semiconductor devices in Lebesgue spaces. To that end we reformulate the (generalized) van Roosbroeck system as an evolution equation for the potentials to the driving forces of the currents of…

Analysis of PDEs · Mathematics 2007-05-23 Hans-Christoph Kaiser , Hagen Neidhardt , Joachim Rehberg

Flamelet-based methods are extensively used in modeling turbulent hydrocarbon flames. However, these models have yet to be established for (lean) premixed hydrogen flames. While flamelet models exist for laminar thermo-diffusively unstable…

Understanding the interactions between hydrogen flame and turbulent vortices is important for developing the next-generation carbon neutral combustion systems. In the present work, we perform several direct numerical simulation (DNS) cases…

Fluid Dynamics · Physics 2023-04-25 Yifan Xu , Zhi X. Chen

The self-gravitating gas in thermal equilibrium is studied using a Newtonian potential regularized at short distances. This short distance cutoff permits us to obtain a complete description of the gas including its collapsed phase. We give…

Astrophysics · Physics 2008-11-26 C. Destri , H. J. de Vega

In this paper, we consider the dynamical evolution of dark vortex states in the two-dimensional defocusing discrete nonlinear Schroedinger model, a model of interest both to atomic physics and to nonlinear optics. We find that in a way…

Pattern Formation and Solitons · Physics 2008-07-06 J. Cuevas , G. James , P. G. Kevrekidis , K. J. H. Law

In this paper, we study the formation of finite time singularities for the solution of the boundary layer equations in the two-dimensional incompressible heat conducting flow. We obtain that the first spacial derivative of the solution…

Analysis of PDEs · Mathematics 2019-03-19 Ya-Guang Wang , Shi-Yong Zhu

A joint experimental and numerical investigation of turbulent flame front anchoring at externally heated walls is presented. The phenomenon is examined for lean hydrogen/air mixtures in a novel burner design, which comprises a cylindrical…

Fluid Dynamics · Physics 2020-03-25 S. Klukas , M. Sieber , M. Giglmaier , S. Schimek , C. O. Paschereit , N. A. Adams

This report aims to present my research updates on distance function wavelets (DFW) based on the fundamental solutions and the general solutions of the Helmholtz, modified Helmholtz, and convection-diffusion equations, which include the…

Computational Engineering, Finance, and Science · Computer Science 2025-10-20 W. Chen

We consider the Riemann problem of evolution of initial discontinuities for the photon fluid propagating in a normal dispersion fiber with account of self-steepening effects. The dynamics of light field is described by the nonlinear…

Pattern Formation and Solitons · Physics 2018-01-22 S. K. Ivanov , A. M. Kamchatnov

The investigation of thermal convection of a fluid with the dependence of thermal diffusivity on temperature in a vertical Hele Shaw cell heated from below has been fulfilled theoretically.The expression for equilibrium temperature…

Fluid Dynamics · Physics 2021-12-28 Rohan Nuckchady , Vitaly Demin

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…

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