NONLINEAR TRANSPORT LAWS FOR LOW-DENSITY FLUIDS

Hydrodynamics equations derived directly from Boltzmann's equation and specialized to sheared planar flow are shown to yield approximate non linear laws of heat transport and of viscous flow. The law of viscous flow predicts non-Newtonian effects including shear thinning and the l aw of heat transport is more general than Fourier's law: it is not lin ear and it implies heat flow parallel to the isotherms. These nonlinea r transport laws are faithfully corroborated by molecular dynamic simu lations based on straightforward Newtonian dynamics. (C) 1998 Elsevier Science B.V. All rights reserved.