Scaling behavior for the pressure and energy of shearing fluids
Jialin Ge1, B D Todd, Guangwen Wu
1Centre for Molecular Simulation, Swinburne University of Technology, Hawthorn, Victoria, Australia.
Abstract:
Recent simulation work has established that the widely accepted mode-coupling theory for the strain rate dependence of the pressure and energy of simple fluids under shear (i.e., energy and pressure are functions of strain rate to the power 3 / 2) is observed in the vicinity of the triple point. Away from the triple point, the scaling exponent of the strain rate was seen to be closer to 2 than 3 / 2, suggesting a possible analytic behavior. In this paper, we accurately determine the scaling exponent behavior for a Lennard-Jones fluid in the dense fliud region and find that it varies continuously between approximately 1.2 and approximately 2 as a function of density and temperature, thus confirming its nonanalyticity. We furthermore find that the behavior is characterized by a simple linear function of density and temperature.
Related Concept Videos
Navier–Stokes Equations
Newtonian Fluid: Problem Solving
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
Euler's Equations of Motion
Pressure Variation in a Fluid at Rest
When measuring pressure at two different levels within the fluid, the difference in pressure...
Fluid Pressure over Curved Plate of Constant Width
Typical Model Studies

