Inverse Design of Supersonic Internal Flow Path Based on Given Outflow Velocity Profile

Abstract

The classic theory of rotational characteristics is used to inverse design the two-dimensional supersonic internal flow path according to the given outflow velocity profile. The design method of curved shock wave is investigated and the corresponding wall shape is obtained by stream trace technology. The basic idea and procedure of "flow field assembling" is demonstrated. Inverse design of velocity profile modification in supersonic flow path using only one shock wave has been achieved. The design models by method of characteristics are all verified by computational simulations. After some modification of boundary-layer, one of the inviscid models was designed for the wind tunnel experiment. The Mach number profiles acquired from the experiment coincide with the inverse design target, which indicates that the method proposed in this paper is correct and feasible. Nomenclature Ma =Mach number p = Static pressure P* = Total pressure T = Static temperature T* = Total pressure

Research Progress of Hypersonic Inlet Inverse Design Based on Curved Shock Compression System

“…The feasibility of determining upstream flow path from the downstream flow field in isentropic supersonic flow could be proved by analysis of Euler flow equation. 13 Fig .3 shows the inverse design method of the compression flow path according to given outflow parameter distribution. 13 Firstly, according to the parameters distribution of the outlet section EF and free stream conditions, the leading curved shock BD is designed along each streamline, and then method of characteristics is used to design curved compression surface BC based on BD; while the flow area GEF is designed from outlet section EF, and parameters of point G and point D are ensured the same.…”

“…13 Fig .3 shows the inverse design method of the compression flow path according to given outflow parameter distribution. 13 Firstly, according to the parameters distribution of the outlet section EF and free stream conditions, the leading curved shock BD is designed along each streamline, and then method of characteristics is used to design curved compression surface BC based on BD; while the flow area GEF is designed from outlet section EF, and parameters of point G and point D are ensured the same. Secondly, the region GEF is rotated and transformed to make the two different flow fields BCD and EFG bind together at point D and point G so as to complete the flow field assembling, as shown in Fig.3(a).…”