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Mathematical Problems in Engineering - Volume 2015 2015, Article ID 162530, 11 pages -

Research ArticleNondestructive Evaluation Laboratory, Department of Structural Mechanics, University of Granada, 18071 Granada, Spain

Received 9 April 2015; Revised 25 June 2015; Accepted 7 July 2015

Academic Editor: Giacomo Innocenti

Copyright © 2015 Carlos Rus and Guillermo Rus. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Quantifying the constitutive nonlinearity parameter in fluids is of keyinterest for understanding ultrasonic propagation and its wide implications in medicaland industrial applications. However, current methods for ultrasonically measuring itshow large limitations in that the signal is only valid at a reduced and unjustifiedspatial range away from the transducer. This is not consistent with the fact that should be constant everywhere in the fluid and independently of the ultrasonicexperimental setup. To overcome this, the nonlinear wave propagation equations arerigorously derived and the ensuing differential equation is numerically solved. As asecond contribution, the experimental and model information sources are treated underthe information theory context to probabilistically reconstruct , providing not onlyits value, but also the degree of confidence on it given both sources of data. This methodis satisfactorily validated testing the repeatability of in water varying distances,energies, frequencies, and transducer setups, yielding values compatible with = 3.5.

Autor: Carlos Rus and Guillermo Rus

Fuente: https://www.hindawi.com/


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