Numerical and Analytical Simulation of the Structure of a Supersonic Gas Flow in a Variable-Section Channel with Power Supply

Abstract

The influence of a periodic supply of power pulses to the gas flow in a variable-section channel on the formation of shock structures in this flow was investigated. Parameters of the power supply providing different regimes of flow in the indicated channel and criteria of these regimes were determined on the basis of the solution of the problem of a powerful explosion with the use of the similarity theory and the homochronicity number. The results of the numerical simulation of the flow in the variable-section channel with power supply in the quasi-one-dimensional approximation and of the flows in cylindrical and plane channels were compared. The applicability of the analytical dependences obtained was substantiated by the results of the numerical solution of the quasi-one-dimensional and two-dimensional Euler equations for the flow of an ideal gas in the indicated channels.