An inviscid flow of the laminar flame in a channel is investigated by using the hydrodynamic model which considers a flame as a surface of discontinuity, separating burned from unburned gas and step-like changing density across that.
The plane flame of which basic flow is uniform is always unstable to an infinitesimal disturbance. In case of a curved flame, a stagnation zone exists in the burned region. To be a consistent result with respect to the assumptions of the model, the flow field is analyzed by changing the streamline which restricts the stagnation zone.