PIRE - mathematics, mechanics, materials science

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Publication 6

Design of viscometers corresponding to a universal molecular simulation method

Authors:

CMUKaushik Dayal
Civil and Environmental Engineering
Carnegie Mellon University, Pittsburgh, PA 15213


MinnesotaRichard D. James
Department of Aerospace Engineering and Mechanics
107 Akerman Hall
University of Minnesota
Minneapolis, MN 55455, USA


Abstract:
We present conceptual designs of viscometers corresponding to a new exact molecular simulation method (Dayal & James 2010). The molecular simulation method is a generalization of the method of Lees & Edwards (1972), and includes a three-parameter family of incompressible flows, as well as compressible flows and unsteady flows exhibiting vortex stretching. All fluids are allowed. The method gives a way to simulate these flows using relatively few molecules, in the absence of a constitutive relation describing the fluid. This paper presents conceptual designs for viscometers that produce large families of these flows. The basic theme of this paper is that the flows discussed here are a better way to characterize the properties of complex fluids than the currently available methods, such as those based on viscometric flows.
Get the paper in its entirety
Dayal_James_jfm.pdf

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