Models of the time-averaged heat release rate of laminar premixed conical and V-shape flames subjected to flow disturbances. (15th July 2022) - Liu, Tengyu
Abstract: The time-averaged heat release rates of two-dimensional laminar premixed flames subjected to axial oncoming flow perturbations are theoretically studied in this paper. The proposed models of both the two-dimensional conical flame and V-shape flame are derived from the G -equation method. The weakly nonlinear perturbation analysis has been applied in the present work. The origins of time-averaged flame fronts consist of two parts: the unperturbed flame fronts caused by the balance between the laminar flame burning velocity and the incident normal velocity; the perturbed zero order time-averaged flame fronts caused by the second order nonlinear items in the perturbation analysis. For the conical and V-shape flame models, the analytical solution of the time-averaged flame heat release rate is derived based upon the perturbation method (analytical perturbation model) using different velocity perturbation models, in order to reveal the time-averaged flame heat release rate response mechanism to the axial disturbances. Results show that the velocity perturbation models and the flame aspect ratio have significant effects on the time-averaged flame heat release rates. Highlights: The time-averaged heat release rates are modeled for 2D conical and V-shape flames The flames are subjected to axial perturbations The analytical solutions are derived using the perturbation method. Effects of the velocity perturbation model and the flame aspect ratio are investigated