Unsteady Analysis with Throughflow Concept

This paper presents a thoroughly derived theory that incorporates unsteady formulations into standard throughflow methods such that certain transient characteristics can be captured by throughflow analysis. In analogy to the relation between conventional throughflow methods and the mixing plane concept, this paper proposed a novel approach of quantifying the unsteadiness by relating the throughflow method to the chorochronic interface. Maintaining the advantage of low computational cost inherited from throughflow methods, the new method has huge potentials in the unsteady design of turbomachineries.