Exact solutions for shock waves in dilute gases

Autor:	Francisco J. Uribe, Rosa María Velasco
Rok vydání:	2019
Předmět:	Physics::Fluid Dynamics Shock wave Physics symbols.namesake Viscosity Work (thermodynamics) Exact solutions in general relativity Prandtl number Mathematical analysis symbols Viscosity index Hard spheres Constant (mathematics)
Zdroj:	Physical Review E. 100
ISSN:	2470-0053 2470-0045
DOI:	10.1103/physreve.100.023118
Popis:	In 1922 Becker found an exact solution for shock waves in gases using the Navier-Stokes-Fourier constitutive equations for a Prandtl number of value 3/4 with constant transport coefficients. His analysis has been extended to study some cases where an implicit solution can be found in an exact way. In this work we consider this problem for the so-called soft-spheres model in which the viscosity and thermal conductivity are proportional to a power of the temperature η,κ∝T^{σ}. In particular, we give implicit exact solutions for the Maxwell model (σ=1), hard spheres (σ=1/2), and when σ (the viscosity index) is a natural number.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f52a3d5c2a77d5fcf4b7b661e239f6f9 https://doi.org/10.1103/physreve.100.023118 Zobrazit plný text záznamu