Well-Posed Two-Temperature Constitutive Equations for Stable Dense Fluid Shockwaves using Molecular Dynamics and Generalizations of Navier-Stokes-Fourier Continuum Mechanics

摘要

Guided by molecular dynamics simulations, we generalize theNavier-Stokes-Fourier constitutive equations and the continuum motion equationsto include both transverse and longitudinal temperatures. To do so we partitionthe contributions of the heat transfer, the work done, and the heat flux vectorbetween the longitudinal and transverse temperatures. With shockwave boundaryconditions time-dependent solutions of these equations converge to givestationary shockwave profiles. The profiles include anisotropic temperature andcan be fitted to molecular dynamics results, demonstrating the utility andsimplicity of a two-temperature description of far-from-equilibrium states.