A quasi-1D unsteady analysis with loss and heat addition models was developed to simulate combustion instabilities for a premixed step combustor. This analysis utilizes a third-order upwind-biased finite-volume scheme to solve the Euler equations. Time accuracy was achieved by using Newton subiterations within each time step. The ability of the solver to capture the resonant acoustic frequencies was examined by modeling a speaker radiating broadband noise in a simple duct. The additional complexities of the experimental combustor models, such as skin-friction losses, losses due to sudden area change, and the addition of fuel, air, water, and heat were all modeled and included in the governing equations as source terms. Preliminary results compared with experimental data for several combustion rigs indicate that the analysis can capture the critical frequencies of the combustor model. Coupling heat release with step flow velocities produced an instability at the dominant resonant frequency of the combustor. (Author)
AbstractA quasi-one-dimensional unsteady analysis with loss and heat addition models was developed to simulate combustion instabilities for a premixed step combustor. This analysis utilizes a third-order upwindbiased finite-volume scheme to solve the Euler equations. Time accuracy was achieved by using Newton sub-iterations within each time step. The ability of the solver to capture the resonant acoustic frequencies was examined by modeling a speaker radiating broad-band noise in a simple duct. The additional complexities of the experimental combustor models, such as skin-friction losses, losses due to sudden area change, and the addition of fuel, air, water and heat were all modeled and included in the governing equations as source terms. Preliminary results compared with experimental data for several combustion rigs indicate that the analysis can capture the critical frequencies of the combustor model. Coupling the heat release with the step flow velocities, produced an instability at the dominant resonant frequency of the combustor.