Simplified Heat Transfer Analysis for Flames in Channels

摘要

A two-dimensional model for heat transfer in reacting channel flow is developed along with an analytical solution that relates the temperature field in the channel to the flow Pe number. The solution is derived from first principles by modeling the flame as a volumetric heat source and by applying "jump conditions" across the flame. This simple model and the resulting analytical solution provide an extremely computationally efficient tool for exploring the effects of the flow Peclet number on the temperature distribution in a channel in which a flame is stabilized. The predictions of the analytical model are shown to match with the results of more detailed CFD simulations.