Transonic Shock Solutions to the Euler System in Divergent-Convergent Nozzles

In this paper, we study the transonic shock solutions to the steady Euler system in a quasi-one-dimensional divergent-convergent nozzle. For a given physical supersonic inflow at the entrance, we obtain exactly two non-isentropic transonic shock solutions for the exit pressure lying in a suitable range. In addition, we establish the monotonicity between the location of the transonic shock and the pressure downstream.

Automated summary

This paper studies the transonic shock solutions in a quasi-one-dimensional divergent-convergent nozzle for the steady Euler system. Two non-isentropic transonic shock solutions are derived for the exit pressure within a suitable range, based on a given physical supersonic inflow at the entrance. Moreover, the monotonicity between the location of the transonic shock and the pressure downstream is established.