Theoretical Analysis of Diffusion Flames Using Perturbation Method for Different Lewis and Damkohler Numbers

Abstract

This paper presents a two dimensional asymptotic model of counterflow diffusion flame in the presence of radiation heat loss. The fuel and oxidizer, respectively, are injected from left and right hand side of the flame. The effects of burning rate, Lewis and Damkohler number on the structure and extinction of the flame is studied using perturbation method. To do so, the structure of the flame is considered to be composed of reaction zone with a thickness of O(ε) and radiation heat loss zone, of O(δ) thickness, that sandwiches the reaction zone. The effect of burning rate is illustrated by burning pre-exponential parameter, B. It is found that with the increase of the parameter, the flame temperature is also increased, and flame location moves toward the fuel side. In addition, the variation of Lewis number of fuel and oxidizer has a significant effect on the location and temperature of the flame.

Analysis of Completely Prevaporized Spray Flames with Water/Octane Core/Shell Structured Droplets

“…Owing to the successful introduction of large activation energy asymptotics in combustion, great progress has been made in understanding the physics of the flame [1][2][3][4][5][6]. As a result, numerous investigations have been devoted to asymptotic theories of steady deflagrations with heat losses [7][8][9][10][11][12][13][14][15], stretch [9,11,[15][16][17], and preferential diffusion (nonunity Lewis number) [12,13,18].…”