A note on finite-scale Navier–Stokes theory: The case of constant viscosity, strictly adiabatic flow

We investigate the “piston problem” for the case of a viscous, but non-thermally conducting, gas with constant transport coefficients under the recently introduced generalization of the Navier–Stokes (NS) equations known as the finite-scale Navier–Stokes (FSNS) equations. Along with determining and...

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Bibliographic Details
Published inPhysics letters. A Vol. 379; no. 3; pp. 124 - 130
Main Authors Jordan, P.M., Keiffer, R.S.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 23.01.2015
Subjects
Constants
Finite-scale theory
Impact analysis
Mathematical analysis
Navier-Stokes equations
Nonlinear acoustics
Perfect gases
Pistons
Shock thickness
Solid state physics
Transport
Traveling waves
Viscosity
Shock thickness
Nonlinear acoustics
Traveling waves
Perfect gases
Finite-scale theory
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Summary:We investigate the “piston problem” for the case of a viscous, but non-thermally conducting, gas with constant transport coefficients under the recently introduced generalization of the Navier–Stokes (NS) equations known as the finite-scale Navier–Stokes (FSNS) equations. Along with determining and analyzing the integral curves of the resulting kink-type traveling wave solutions (TWS)s, the present study also reveals the importance of the bulk viscosity vis-a-vis this special case of FSNS theory and highlights the impact that averaging has on the structure of the shock profile.
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ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2014.10.033