IJPAM: Volume 43, No. 1 (2008)



University of Hagen
Lützowstrasse 125, Hagen, D-58094, GERMANY
e-mail: eugen.grycko@fernuni-hagen.de

Thingslindestrasse 90, Kierspe, D-58566, GERMANY
e-mail: support@omegaspace.de
Abstract. hard disks are injected into a
2-dimensional virtual pipe. The initial positions of the disks are
generated according to the uniform distribution and the initial
velocities according to a centered normal distribution. The
Newtonian dynamics is imposed on the system (fluid) entailing a
viscous fluid flow through the pipe. Since the flow velocity
profiles can be assessed statistically during the computational
process imitating the motion of the disks, computer experimental
data carrying information about the dependence of viscosity on the
thermodynamic conditions of the virtual fluid can be sampled. The
statistical evaluation of these data leads to the establishment of
a formula for the viscosity of the hard disk fluid. As an
application, a possibility of the quantitative prediction of
laboratory measurements of the viscosity of water
as function of temperature is discussed.
Received: December 7, 2007
AMS Subject Classification: 74A25, 76A99, 62G08
Key Words and Phrases: molecular dynamics, fluid flow, velocity profiles, Nadaraya-Watson estimator
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 43
Issue: 1