Modeling of a supersonic flow around a cylinder with a gas-permeable porous insert

Results of an experimental and numerical study of a supersonic $(\mathrm{M}_\infty=4.85)$ flow around a streamwise-aligned cylinder with a gas-permeable porous insert on the frontal face in the range of Reynolds numbers $\mathrm{Re}_D=(0.1-2.0)\cdot10^5$ are presented. The numerical study is performed by using the Ansys Fluent software system and a porous medium model based on a quadratic law of filtration. The parameters of the quadratic dependence are calculated on the basis of experimental data for an air flow in a porous material. Flow fields are obtained, and the wave drag of the model is calculated as a function of the porous insert length and the Reynolds number. Results of numerical simulations are compared with wind tunnel measurements.