The supersonic, permanent flow of an ideal (inviscid) gas, past a circular porous cone at zero incidence is considered, through the surface of which a uniform suction is applied. If the suction rate exceeds a certain value, it was numerically demonstrated that the flow parameters correspond to those of an axially symmetric expansion. The Taylor-Maccoll nonlinear differential equation, governing the flow, was analytically integrated, talcing into account the specific bi-local boundary conditions on the Mach cone and on the porous cone. In order to perform the analytical integration two simplifying assumptions were introduced, so that an approximate solution was finally found. The model and solution accuracy were tested through three alternative solvers based on finite difference, shooting and characteristics methods, in each case positive confirmations being obtained. Several examples of supersonic conical axially symmetric expansions for different Mach numbers were calculated and are presented along with comparative diagrams displaying the flow parameters variation, determined with the analytical method and with the other, above mentioned, solvers.
展开▼
