This paper investigates a predictive model that considers the impact of stretch on the dynamic response
of laminar premixed conical and V- flames; the flame stretch consists of two components: the flame
curvature and flow strain. The steady and perturbed flame fronts are determined via the linearized Gequation associated with the flame stretch model. Parameter analyses of the effects of Markstein length
L, flame radius R and unstretched flame aspect ratio β are also conducted. Results show that the flame
stretch reduces the steady flame height, with this effect being more significant for larger Markstein
lengths and smaller flame sizes. The effects of flame stretch on perturbed flames are evaluated by comparing the flame transfer function (FTF) considering the flame stretch and not. For flames of different
sizes, the impact of flame stretch on FTF gain can be divided into three regions. When both β and R
are relatively small, due to the decrease in steady flame height and the impact of flow strain, the FTF
gain increases. As β and R gradually increase, the FTF gain of the conical flame oscillates periodically
while the FTF gain of the V-flame decreases, primarily due to the flame curvature enhancing the flame
front disturbance and the wrinkle counteracting effect. When β and R are large, a disruption in wrinkle
counteracting effect ensues, leading to a significant increase in FTF gain. Furthermore, as the actual flame
height is reduced, the flame stretch also reduces the FTF phase lag which is related to the disturbance
propagation time from the flame root to the tip.