Modeling of 2D self-drifting flame-balls in Hele-Shaw cells

TL;DR

This paper models 2D self-drifting flame-balls in Hele-Shaw cells by reducing a complex free-boundary problem to a 1D model, enabling analysis of their velocity, radius, and heat loss conditions.

Contribution

It introduces a novel 1D model for analyzing 2D self-drifting flamelets in Hele-Shaw cells, simplifying the complex free-boundary problem.

Findings

Derived conditions for flamelet existence based on velocity, radius, and heat losses.

Reduced a complex 2D free-boundary problem to a manageable 1D model.

Identified parameters influencing flamelet stability and drift.

Abstract

The disintegration of near limit flames propagating through the gap of Hele-Shaw cells has recently become a subject of active research. In this paper, the flamelets resulting from the disintegration of the continuous front a reinterpreted in terms of the Zeldovich flame-balls stabilized by volumetric heat losses. A complicated free-boundary problem for 2D self-drifting near circular flamelets is reduced to a 1D model. The 1D formulation is then utilized to obtain the locus of the flamelet velocity, radius, heat losses and Lewis numbers at which the self-drifting flamelet exists.