Quasi-one-dimensional mathematical model of the two-dimensional supersonic cavity mean flow

Abstract

A novel quasi-one-dimensional mathematical model for time-averaged supersonic cavity flow arising from quasi-one-dimensional analysis is proposed. The fundamental inputs required for the model comprise the primary vortex center position and the aerodynamic parameters of the boundary. Specifically, the primary vortex center position serves to fix the contours of the quasi-one-dimensional model, while the total temperature, density, and velocity of the boundary provide definite conditions for the model. The assumptions regarding the inputs are proposed based on numerical investigation which has been validated through experiments on the n-regular-polygonal cavities. The model helps to reveal the intricate correlations between cavity flow characteristics and cavity geometry, as well as the relationship between cavity flow characteristics and freestream Mach number, and may be used for the prediction of mass flux within the cavity.