Abstract:
In the space of self-similar variables, two-dimensional flows of a polytropic gas are constructed in the form of solutions of the corresponding characteristic Cauchy problems of the standard type, which can be represented in the form of endless series. The convergence of the series is proved, and a procedure for constructing the coefficients of the series is described. It is found that in one particular case, the series breaks off and coincides with the well-known analytical solution that was used by V. A. Suchkov to describe gas flow from an oblique wall into vacuum and by A. F. Sidorov to describe unlimited compression of prismatic gas volumes. It is shown that unlimited compression of the gas flow is by impermeable pistons moving according to different laws possible, and the gas-dynamic flow parameters are studied. Highly nonuniform pressure distribution during compression of prismatic targets was obtained.
Keywords:equations of gas dynamics, self-similar variables, characteristic Cauchy problem, gas flow into vacuum, unlimited gas compression.
Fulltext:
PDF file (466 kB)