The reusable characteristics of hypersonic cruise aircraft make it an important trend in the development of aerospace industry, with profound strategic value. Wind tunnels are the most fundamental experimental devices for designing high Mach number aircraft, where the performance of nozzles has a decisive impact on the aerodynamic performance of the airflow in-side the wind tunnel. Flexible-wall nozzles have a wide range of Mach number adjustment capabilities and can achieve excellent flow field performance, which helps significantly improve the efficiency of wind tunnel tests and reduce test costs. In the design of flexible-wall nozzles, commonly used techniques include curvature continuous inviscid surface design, calculation of curvature continuous displacement thickness of boundary layer, and design strategies for curvature continuous contraction surface curves; in structural design, finite element simulations are usually used to determine the layout of large deflection structures supported at multiple points; in the design of measurement and control systems, control systems are typically used to monitor the deformation of flexible walls at multiple points. The application of flexible-wall nozzles can significantly reduce ineffective test time, de-crease energy consumption during testing, and shorten the overall test cycle, presenting vast development potential.