Dilute Gas Couette Flow: Theory and Molecular Dynamics Simulation
Physical Review E 56 489-496 (1997)
Index
Explicit analytic nonlinear laws of heat transport and of
viscous flow are derived from Grad's approximate solution to
Boltzmann's equation, and they are shown to describe quite well
the observations made in molecular dynamic simulations. With
this aim a planar Couette flow is studied, both analytically and by
means of microscopic molecular dynamic techniques for the case
of a bidimensional gas of hard disks. The fluid develops a
nonuniform temperature profile, shows a non-Newtonian behavior,
and there is a heat current which obeys Fourier's law with a
tensorial shear rate-dependent thermal conductivity.
Molecular Dynamics and Kinetic Theory Group
Physics Department
Facultad de Ciencias Físicas y Matemáticas
Universidad de Chile