# Phase transitions in filtration of real gases.

@article{Lychagin2019PhaseTI, title={Phase transitions in filtration of real gases.}, author={Valentin V. Lychagin and Mikhail Roop}, journal={arXiv: Mathematical Physics}, year={2019} }

Steady adiabatic filtration of real gases is studied. Thermodynamical states of real gases are presented by Legendrian surfaces in 5-dimensional thermodynamical contact space. The relation between phase transitions and singularities of projection of the Legendrian surfaces on the plane of intensive variables is shown. The constructive method of finding solutions of the Dirichlet filtration problem together with analysis of critical phenomena is presented. Cases of van der Waals and Peng…

## 8 Citations

### Steady filtration of Peng-Robinson gas in a porous medium

- Mathematics
- 2019

Filtration of real gases described by Peng-Robinson equations of state in 3-dimensional space is studied. Thermodynamic states are considered as either Legendrian submanifolds in contact space, or…

### Phase transitions in filtration of Redlich–Kwong gases

- MathematicsJournal of Geometry and Physics
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### Phase Transitions in Euler Flows of Dieterici Gases

- Physics2019 Twelfth International Conference "Management of large-scale system development" (MLSD)
- 2019

In this paper, we study 3-dimensional stationary flows of real gases described by Euler equations. As a model of a thermodynamic state, we take the Dieterici state equation. We investigate critical…

### Non-stationary adiabatic filtration of gases in porous media

- Mathematics
- 2019

A non-stationary isentropic filtration of gases in porous media is considered. Thermodynamics in terms of contact and symplectic geometries is briefly discussed. Algebra of symmetries for the PDE…

### Real gas flows issued from a source

- Mathematics, PhysicsAnalysis and Mathematical Physics
- 2019

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…

### Quotients of Navier–Stokes equation on space curves

- MathematicsAnalysis and Mathematical Physics
- 2021

A Navier–Stokes system on a curve is discussed. The quotient equation for this system is found. The quotient is used to find some solutions of Navier–Stokes system. Using asymptotic virial expansion…

### Critical phenomena and singular solutions in non-stationary filtration of real gases.

- Physics
- 2020

In this paper, we study non-stationary filtration of real gases in porous media. Thermodynamic state of the medium is given by van der Waals state equations. Solutions for non-stationary filtration…

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