A study on the Holian conjecture and Linear Irreversible Thermodynamics for shock-wave structure
| Autor: | Francisco J. Uribe, Rosa María Velasco |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Shock wave
Physics Work (thermodynamics) Conjecture Applied Mathematics Isotropy Continuum (design consultancy) General Physics and Astronomy Thermodynamics Hard spheres 01 natural sciences 010305 fluids & plasmas Computational Mathematics Viscosity Thermal conductivity Modeling and Simulation 0103 physical sciences 010301 acoustics |
| Zdroj: | Wave Motion. 100:102684 |
| ISSN: | 0165-2125 |
| DOI: | 10.1016/j.wavemoti.2020.102684 |
| Popis: | In this work we study the effect caused by the so called Holian conjecture (HC) on the rarefied gases shock-wave structure under the continuum approach. This conjecture which was introduced to study hard spheres takes the longitudinal temperature to calculate the viscosity and thermal conductivity, a fact which makes the shock-wave structure be modified by the explicit lack of isotropy. We generalized the HC to consider the soft sphere potential interaction and calculate the shock-wave profiles. The analysis is made according to the Navier–Stokes–Fourier (NSF) hydrodynamics and a recent phenomenological Linear Irreversible Thermodynamics (LIT) model, both models consider the HC to study the role played by the longitudinal temperature. The comparison with the available experimental data points out that NSF hydrodynamics is able to reproduce the velocity and the longitudinal temperature profiles but fails to reproduce the temperature profile either with the HC or without it. In contrast, the LIT model does the task for all profiles and shows that the effect of the HC is not significative. Deviation plots for the different profiles are provided to support our conclusions. |
| Databáze: | OpenAIRE |
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