For internal flow with supersonic inflow boundary conditions,a complicated oblique shock reflection may occur.Different from the planar shock reflection problem,where the shape of the incident shock can be a straight ...For internal flow with supersonic inflow boundary conditions,a complicated oblique shock reflection may occur.Different from the planar shock reflection problem,where the shape of the incident shock can be a straight line,the shape of the incident shock wave in the inward-facing axisymmetric shock reflection in steady flow is an unknown curve.In this paper,a simple theoretical approach is proposed to determine the shape of this incident shock wave.The present theory is based on the steady Euler equations.When the assumption that the streamlines are straight lines at locations just behind the incident shock is adopted,an ordinary differential equation can be derived,and the shape of the incident shock wave is given by the solution of this ordinary differential equation.The predicted curves of the incident shock wave at several inlet conditions agree very well with the results of the numerical simulations.展开更多
基金2016YFA0401200 of national key research and development program of China and the national numerical wind tunnel project.
文摘For internal flow with supersonic inflow boundary conditions,a complicated oblique shock reflection may occur.Different from the planar shock reflection problem,where the shape of the incident shock can be a straight line,the shape of the incident shock wave in the inward-facing axisymmetric shock reflection in steady flow is an unknown curve.In this paper,a simple theoretical approach is proposed to determine the shape of this incident shock wave.The present theory is based on the steady Euler equations.When the assumption that the streamlines are straight lines at locations just behind the incident shock is adopted,an ordinary differential equation can be derived,and the shape of the incident shock wave is given by the solution of this ordinary differential equation.The predicted curves of the incident shock wave at several inlet conditions agree very well with the results of the numerical simulations.
