Abstract
The paper describes a mathematical model for simulating the cyclic operation of valveless pulsed combustors. The flows in the inlet and tail pipe were assumed to be one-dimensional while the combustion chamber was treated as a large reservoir with uniform thermodynamic properties. The effects of wall friction, heat transfer, gradual area changes, variable entropy and composition changes due to chemical reaction were included in the modelling. The set of first order quasi-linear hyperbolic partial differential equations describing the inlet and tail pipe flows were solved by a numerical method of characteristics. The results predicted with the model are in good agreement with some experimental results. The model showed that intermittent combustion in the combustion chamber is established through variations in the concentrations of carbon dioxide and oxygen. Lower and upper fuel flow rate extinction limits which have been observed experimentally, were found, from the results of the model, to be due to leanness and richness of the fresh charge in the combustion chamber, respectively.
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