THE DENSITY-DEPENDENCE OF FLUID PROPERTIES AND NON-NEWTONIAN FLOWS - THE WEISSENBERG EFFECT

Two approaches which describe the Weissenberg effect (height profile o f a non-Newtonian fluid between rotating vertical concentric cylinders ) are discussed. The first is based on an earlier calculation with the ological properties of a simple liquid obtained from nonequilibrium mo lecular dynamics (NEMD). The calculation is redone here using new resu lts on the density dependence of the normal pressure differences. The NEMD calculations are restricted to Couette flow, but describe specifi cally, in a consistent manner, the effects of finite compressibility. The pressure, viscosity, and normal pressure differences are all found from NEMD to be sensitive functions of density, which requires that t he equations of motion be solved iteratively and self-consistently, an d a sample calculation is presented for the soft sphere fluid. The sec ond approach is that of Joseph and Fosdick. Their assumptions and tech niques are examined and compared with the NEMD calculations.