# Real gas flows issued from a source

## TL;DR

This paper investigates stationary adiabatic flows of real gases from a source, using advanced mathematical frameworks to analyze solutions of Euler and Navier-Stokes equations with various equations of state.

## Contribution

It introduces a novel approach to analyze real gas flows using Legendrian and Lagrangian manifolds, and constructs asymptotic expansions for Navier-Stokes solutions considering small viscosity.

## Key findings

- Solutions are given implicitly for any equation of state.
- Asymptotic expansions are constructed for different source intensities.
- The study includes van der Waals and ideal gas models.

## Abstract

Stationary adiabatic flows of real gases issued from a source of given intensity are studied. Thermodynamic states of gases are described by Legendrian or Lagrangian manifolds. Solutions of Euler equations are given implicitly for any equation of state and the behavior of solutions of the Navier-Stokes equations with the viscosity considered as a small parameter is discussed. For different intensities of the source we introduce a small parameter into the Navier-Stokes equation and construct corresponding asymptotic expansions. We consider the most popular model of real gases --- the van der Waals model, and ideal gases as well.