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Related papers: Large Scale Evolution of Premixed Flames

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Analytical treatment of premixed flame propagation in vertical tubes with smooth walls is given. Using the on-shell flame description, equations describing quasi-steady flame with a small but finite front thickness are obtained and solved…

Fluid Dynamics · Physics 2016-05-04 Kirill A. Kazakov

We first briefly recall the basic mechanisms controlling the hydrodynamic and thermo-diffusive stability of planar laminar premixed flames, and give the state of the theoretical analysis. We then describe some novel experiments to observe…

Classical Physics · Physics 2007-05-23 Geoffrey Searby

The problem of premixed flame propagation in wide horizontal tubes is revisited. Employing the on-shell description of flames with arbitrary gas expansion, a nonlinear second-order differential equation for the front position of steady…

Fluid Dynamics · Physics 2015-05-30 Kirill A. Kazakov

Fully compressible numerical simulations of two-dimensional laminar lean hydrogen-air premixed flames have been performed, with the flame front subjected to acoustic forcing through the specification of a monopole-type sound source at the…

Fluid Dynamics · Physics 2026-05-15 Xinyi Chen , Frederick W. Young , Umair Ahmed , Robert Stewart Cant

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

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

Nonlinear non-stationary equation describing evolution of weakly curved premixed flames with arbitrary gas expansion, subject to the Landau-Darrieus instability, is derived. The new equation respects all the conservation laws to be…

Fluid Dynamics · Physics 2007-05-23 Kirill A. Kazakov , Michael A. Liberman

Different approaches to the nonlinear dynamics of premixed flames exist in the literature: equations based on developments in a gas ex- pansion parameter, weak nonlinearity approximation, potential model equation in a coordinate-free form.…

Classical Physics · Physics 2007-05-23 Bruno Denet , Vitaly Bychkov

The problem of flame propagation is studied as an example of unstable fronts that wrinkle on many scales is studied. The analytic tool of pole expansion in the complex plane is emloyed to address the interaction of the unstable growth…

adap-org · Physics 2011-08-19 Zeev Olami , Barak Galanti , Oleg Kupervasser , Itamar Procaccia

The problem of flame propagation is studied as an example of unstable fronts that wrinkle on many scales. The analytic tool of pole expansion in the complex plane is employed to address the interaction of the unstable growth process with…

Pattern Formation and Solitons · Physics 2011-08-19 Oleg Kupervasser , Zeev Olami , Barak Galanti , Itamar Procaccia

A theory of flame propagation in curved channels is developed within the framework of the on-shell description of premixed flames. Employing the Green function appropriate to the given channel geometry, an implicit integral representation…

Fluid Dynamics · Physics 2009-10-13 Hazem El-Rabii , Guy Joulin , Kirill A. Kazakov

The renormalization ideas of self-similar dynamics of a strongly turbulent flame front are applied to the case of a flame with realistically large thermal expansion of the burning matter. In that case a flame front is corrugated both by…

Fluid Dynamics · Physics 2012-10-22 Vitaly Bychkov , Vyacheslav Akkerman , Arkady Petchenko

The problem of spontaneous acceleration of premixed flames propagating in open horizontal tubes with smooth walls is revisited. It is proved that in long tubes, this process can be considered quasi-steady, and an equation for the flame…

Fluid Dynamics · Physics 2015-06-16 Kirill A. Kazakov

Steady premixed flames subjected to space-periodic steady forcing are studied via inhomogeneous Michelson-Sivashinsky (MS) and then Burgers equations. For both, the flame slope is posited to comprise contributions from complex poles to…

Pattern Formation and Solitons · Physics 2014-06-04 Guy Joulin , Bruno Denet

In this paper we investigate the acceleration of the expansion of premixed spherical flames and evolution of the cellular patterns on their surfaces. An asymptotic model is used for the simulations and a spectral numerical algorithm is…

Fluid Dynamics · Physics 2017-02-01 V. Karlin , G. Sivashinsky

The current paper is a corrected version of our previous paper arXiv:adap-org/9608001. Similarly to previous version we investigate the problem of flame propagation. This problem is studied as an example of unstable fronts that wrinkle on…

Chaotic Dynamics · Physics 2013-04-23 Oleg Kupervasser , Zeev Olami

Understanding how intrinsically fast hydrogen-air premixed flames can be rendered much faster in turbulence is crucial for systematically developing hydrogen-based gas turbines and spark ignition engines. Here, we present fundamental…

Fluid Dynamics · Physics 2025-01-30 Yuvraj , Hong G. Im , Swetaprovo Chaudhuri

Thermodiffusive instabilities can have a leading order effect on flame propagation for lean premixed hydrogen flames. Many simulation studies have been performed to study this effect, but almost exclusively in two-dimensional (2D) or domain…

Fluid Dynamics · Physics 2023-12-20 Wen Xu , Berger Lukas , Cai Liming , Parente Alessandro , Pitsch Heinz

Understanding the dynamics of flames at small scales opens up opportunities to enhance the performance of small-scale power generation devices, micro-reactors, fire safety devices, and numerous other systems that confine combustion to…

Fluid Dynamics · Physics 2024-08-14 Akhil Aravind , Gautham Vadlamudi , Saptarshi Basu

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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