On the pressure gain of stable flow systems with variable cross-section area

TL;DR

This paper investigates the pressure gain in stable flow systems with variable cross-section areas, proposing an extended Hugoniot curve and emphasizing the importance of matching system parameters for positive pressure gain.

Contribution

It introduces an extended Hugoniot curve for analyzing pressure gain in variable cross-section flow systems and identifies critical parameters for achieving positive pressure gain.

Findings

The dimensionless pressure integral { heta} critically affects pressure gain.

Matching { heta}, inlet Mach number M0, and heat release q is essential for positive pressure gain.

The extended Hugoniot curve provides insights into stable flow system performance.

Abstract

For the clarification of total pressure gain performance of rotating detonation propulsion systems, the extended Hugoniot curve is proposed and discussed for the stable flow systems with variable cross-section area (SFSVA). The dimensionless pressure integral ({\theta}) along the system walls is found to have critical impact on the pressure gain of the SFSVA with given inlet Mach number (M0) and heat release (q). The key to obtain positive pressure gain of a SFSVA is to achieve the matching {\theta}, M0 and q.