Extended hydrodynamics from Enskog's equation: The bidimensional case

TL;DR

This paper investigates heat conduction between two planar systems using extended hydrodynamic equations derived from Enskog's equation, testing a new thermodynamic formalism in a simplified two-dimensional model.

Contribution

It introduces an application of extended hydrodynamics from Enskog's equation to a two-dimensional heat conduction problem, validating a novel thermodynamic approach.

Findings

Predictions align with the thermodynamic formalism.

Extended hydrodynamics accurately describe the steady conductive state.

The model demonstrates the formalism's applicability to simple systems.

Abstract

A heat conduction problem is studied using extended hydrodynamic equations obtained from Enskog's equation for a simple case of two planar systems in contact through a porous wall. One of the systems is in equilibrium and the other one in a steady conductive state. The example is used to put to test the predictions which has been made with a new thermodynamic formalism.