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The planar laminar flow resulting from the impingement of two gaseous jets of different density issuing into an open space from aligned steadily fed slot nozzles of semi-width $R$ separated a distance $2H$ is investigated by numerical and…

Fluid Dynamics · Physics 2022-02-15 A. D. Weiss , W. Coenen. A. L. Sánchez

The problem of non-perturbative description of unsteady premixed flames with arbitrary gas expansion is solved in the two-dimensional case. Considering the flame as a surface of discontinuity with arbitrary local burning rate and gas…

Fluid Dynamics · Physics 2015-05-13 Guy Joulin , Hazem El-Rabii , Kirill A. Kazakov

Most studies of triple flames in counterflowing streams of fuel and oxidizer have been focused on the symmetric problem in which the stoichiometric mixture fraction is $1/2$. There then exist lean and rich premixed flames of roughly equal…

The problem of non-perturbative description of stationary flames with arbitrary gas expansion is considered. On the basis of the Thomson circulation theorem an implicit integral of the flow equations is constructed. With the help of this…

Fluid Dynamics · Physics 2009-11-10 Kirill A. Kazakov

Understanding the dynamics of premixed flames that propagates in confined systems is important in a wide range of applications. The study of premixed flames propagating in a closed channel covers a variety of complexities related to flame…

The influence of flow non-uniformity and unsteadiness on premixed flames is of considerable interest due to its direct relevance to practical combustion systems. The steady counterflow flame has long served as a canonical configuration for…

Fluid Dynamics · Physics 2025-10-30 Jose G Rivera Lizarralde , Aditya Potnis , Abhishek Saha

Driven by fundamental thermodynamic efficiency considerations, an emerging trend in the energy and propulsion systems is that the working fluid operates at a pressure above the critical pressure. Energy transport is thus accompanied by…

Fluid Dynamics · Physics 2024-08-05 Zhouhang Li , Daniel T. Banuti , Jie Ren , Junfu Lyu , Hua Wang , Xu Chu

Radiation flow through an inhomogeneous medium is critical in a wide range of physics and astronomy applications from transport across cloud layers on the earth to the propagation of supernova blast-waves producing UV and X-ray emission in…

This study investigates the propagation of detonations along a layered configuration where a reactive gas is weakly confined by a hotter inert layer. CFD simulations are performed using a single-step, non-Arrhenius reaction model designed…

Fluid Dynamics · Physics 2026-03-27 Youssef K. Wahba , XiaoCheng Mi , Charles B. Kiyanda , Andrew J. Higgins

The problem of front propagation in flowing media is addressed for laminar velocity fields in two dimensions. Three representative cases are discussed: stationary cellular flow, stationary shear flow, and percolating flow. Production terms…

Chaotic Dynamics · Physics 2009-10-31 M. Abel , A. Celani , D. Vergni , A. Vulpiani

Computed flame motion through and between swirling eddys exhibits a maximum advancement rate which is related to the time duration of flame motion between eddys. This eddy spatial structure effect upon the apparent turbulent flame speed…

chao-dyn · Physics 2008-02-03 Wm. T. Ashurst

The burning regimes encountered by laminar deflagrations and ZND detonations propagating through helium-rich compositions in the presence of buoyancy-driven turbulence are analyzed. Particular attention is given to models of X-ray bursts…

Astrophysics · Physics 2009-10-31 F. X. Timmes , J. C. Niemeyer

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

We study the mathematical evolution of a liquid fuel droplet inside a vessel. In particular, we analyze the evolution of the droplet radius on a finite time interval. The model problem involves an hyperbolic system coupled with the pressure…

Analysis of PDEs · Mathematics 2009-09-29 Radjaverane Alexandre , Long Nguyen Thanh , Alain Pham Ngoc Dinh

We present the results of a combined experimental and theoretical study of the spreading of viscous droplets over rigid substrates. First, we experimentally investigate the wetting of a roughened glass surface by a viscous droplet of…

Fluid Dynamics · Physics 2026-02-03 David Darrow , Lucas Warwaruk , John W. M. Bush

Iron dust counter-flow flames have been studied with the low-Mach-number combustion approximation. The model considers full coupling between the two phases, including particle/droplet drag. The dispersed phase flow strain relations are…

Fluid Dynamics · Physics 2023-12-11 C. E. A. G. van Gool , T. Hazenberg , J. A. van Oijen , L. P. H. de Goey

We introduce a phase-field model to describe the dynamics of a self-sustaining propagating combustion front within a medium of randomly distributed reactants. Numerical simulations of this model show that a flame front exists for reactant…

Condensed Matter · Physics 2009-10-22 N. Provatas , T. Ala-Nissila , Martin Grant , K. R. Elder , Luc Pich

The spreading of a thin viscous fluid film on a horizontal surface is an interesting problem in fluid mechanics with many practical applications ranging from coating processes to biological systems and environmental flows. It can even be…

Physics Education · Physics 2026-02-13 R. Bolaños-Jimenez , P. L. Luque-Escamilla

The scaling of turbulent premixed flames is typically described by correlations derived for unity-Lewis-number fuels. However, their validity for hydrogen (H$_{2}$) remains uncertain due to the thermodiffusive effects associated with its…

We establish rigorous lower bounds on the speed of traveling fronts and on the bulk burning rate in reaction-diffusion equation with passive advection. The non-linearity is assumed to be of either KPP or ignition type. We consider two main…

Analysis of PDEs · Mathematics 2015-06-26 Alexander Kiselev , Leonid Ryzhik
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