The Flowing System Gasdynamics. Part 3: Saint-Venant - Wantzel formula modern form

TL;DR

This paper presents a modernized version of the Saint-Venant - Wantzel formula for gas outflow velocity, integrating contact interaction and thermodynamics to improve the calculation of gas flow parameters.

Contribution

The paper introduces a new form of the Saint-Venant - Wantzel formula that combines mechanics and thermodynamics, removing velocity and discharge coefficients.

Findings

The new formula accurately computes gas flow parameters.

It integrates contact interaction with thermodynamics.

The formula is key for gas flow system analysis.

Abstract

The modern form of the Saint-Venant - Wantzel formula for an outflow velocity of gas stream from flowing element is submitted. Taking into account of contact interaction of gas stream with the streamline surface in the form of the static head law has allowed to find the spatial-energy liaison in flowing system. The physically correct combination of mechanics of contact interaction and thermodynamics of fluid medium in one formula has allowed simultaneously to be liberated from the velocity coefficient and the discharge coefficient and polytropic process. In the new form the formula has gained the key character for computation of parameters of motion and state of gas stream in the flowing system.