Physical and mathematical modeling of a supersonic flow around bodies with gas-permeable porous inserts at an angle of attack

Results of experimental and numerical modeling of a supersonic flow around a cylinder with a frontal gas-permeable high-porosity insert aligned at different angles of attack are presented. The experiments are performed in a supersonic wind tunnel at the Mach number $\mathrm{M}_\infty=7$ and unit Reynolds number $\mathrm{Re}_1=1.5\cdot10^6$ m$^{-1}$ in the range of the angles of attack $0$–$25^\circ$C. The numerical simulations are performed by means of solving three-dimensional Reynolds-averaged Navier–Stokes equations with the use of a three-dimensional annular skeleton model of the porous material. The drag and lift coefficients for a cylinder with a $95\%$ porosity and pore diameter of $2$ mm are obtained for different values of the insert length and angle of attack.