ONE-DIMENSIONAL MODELS FOR PULSATING COMBUSTION

The flow field in a pulse combustor can over the major part of the com bustor be approximated with an oscillatory ''plug'' flow, indicating t hat the flow can be simplified to a one-dimensional flow. Hence, a nat ural way to start developing theoretical models for pulsating combusti on would be to formulate and examine one-dimensional models; such simp lified models can serve as a theoretical instrument for designers of p ulse combustors. Applying the methods and principles of modern continu um mechanics, a one-dimensional model has been derived and formulated. The model is constituted by a system of non-linear, partial different ial equations representing the conservation of mass, the balance of mo mentum and the balance of energy. In order to complete and close the s ystem of differential equations a set of suitable constitutive relatio ns is suggested and discussed.