IJPAM: Volume 71, No. 3 (2011)

ON THE PROPAGATION OF ULTRASONIC WAVES
THROUGH THE HARD DISK FLUID

Eugen Grycko$^1$, Werner Kirsch$^2$, Jens Rentmeister$^3$
$^{1,2}$Department of Mathematics and Computer Science
University of Hagen
125, Luetzowstr., D-58084, Hagen, GERMANY
$^3$OmegaSpace.de
90, Thingslindestr., D-58566, Kierspe, GERMANY


Abstract. A local compression of the hard disk fluid is interpreted as an ultrasonic wave. The application of the kernel method from Nonparametric Statistics enables us to observe and to quantitatively evaluate the propagation of the wave in a molecular-acoustic simulation experiment. The sound velocity can be estimated by an application of the regression method to computer experimental data. A correction of a formula for the sound velocity known from Fluid Mechanics is proposed. We also report on a molecular-kinetic computer experiment in which the reflexion of a sound wave is observed.

Received: June 30, 2011

AMS Subject Classification: 82B30, 70F99, 76Q99

Key Words and Phrases: kernel density estimator, molecular acoustics, linear regression

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 71
Issue: 3