Diffusion-controlled combustion of gases in the absence of forced convection

Abstract

A mathematical model for the laminar diffusion combustion of gases in the absence of forced convection is developed. This combustion mode is realized near an orifice in the partition that separates the fuel and oxidizer. The stationary solution, size and shape of the flame, temperature distribution, and profiles of the concentrations of fuel, oxidizer, and combustion products are determined. It is shown that the limiting diameter of the diffusion flame is inversely proportional to the burning rate of an equivalent premixed mixture of the same fuel and oxidizer, whereas the flame length is proportional to the diameter of the orifice. The unsteady (quasi-stationary) solution to this problem for the case where the gas is confined in a finite-volume vessel is obtained. The time it takes the flame to approach the partition of the vessel with fuel and enter inside is determined. Experiments on studying the diffusion combustion of natural gas in the absence of forced convection near orifices and a slit in the partition separating the gaseous fuel and oxidizer in a finite-volume vessel are performed. The time of combustion is obtained. Depending on the orifice diameter and slit width, three modes of diffusion combustion were identified: combustion above the partition ending in flame extinction, combustion with a breakthrough, and combustion inside the vessel (submerged flame).