Projects per year

### Abstract

In this paper we discuss the mass-density of gas media as represented in kinetic theory. It is argued that conventional representations of this variable in gas kinetic theory contradict a macroscopic field variable and thermodynamic property in classical thermodynamics. We show that in cases where mass-density variations exist throughout the medium, introducing the mass-density as a macroscopic field variable leads to a restructuring of the diffusive/convective fluxes and implies some modifications to the hydrodynamic equations describing gas flows and heat transfer. As an illustration, we consider the prediction of mass-density profiles in a simple heat conduction problem between parallel plates maintained at different temperatures.

Original language | English |
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Title of host publication | Proceedings of the 26th International Symposium on Rarified Gas Dynamics |

Number of pages | 6 |

Volume | 1084 |

DOIs | |

Publication status | Published - 20 Jul 2008 |

Event | 26th International Symposium on Rarefied Gas Dynamics - RGD26 - Kyoto, Japan Duration: 20 Jul 2008 → 25 Jul 2008 |

### Conference

Conference | 26th International Symposium on Rarefied Gas Dynamics - RGD26 |
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Abbreviated title | RGD26 |

Country | Japan |

City | Kyoto |

Period | 20/07/08 → 25/07/08 |

### Keywords

- mass-density
- classical thermodynamics
- Boltzmann kinetic equation
- dilute gases
- kinetic theory
- distribution function
- statistical physics
- compressible fluids
- continuum mechanics

## Fingerprint Dive into the research topics of 'The concept of mass-density in classical thermodynamics and the Boltzmann kinetic equation for dilute gases'. Together they form a unique fingerprint.

## Projects

- 1 Finished

## BEYOND NAVIER-STOKES: MEETING THE CHALLENGE OF NON-EQUILIBRIUM GAS DYNAMICS

Reese, J. & McInnes, C.

EPSRC (Engineering and Physical Sciences Research Council)

1/10/05 → 31/01/10

Project: Research

## Cite this

Dadzie, S. K., & Reese, J. M. (2008). The concept of mass-density in classical thermodynamics and the Boltzmann kinetic equation for dilute gases. In

*Proceedings of the 26th International Symposium on Rarified Gas Dynamics*(Vol. 1084) https://doi.org/10.1063/1.3076458