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The acoustic theory of the interaction of a shock wave,having an exponential relaxation zone,with a porous medium
Authors:A.Sh. Sultanov  V.Sh. Shagapov
Affiliation:1. Ecole Nationale d’Ingénieur de Saint Etienne (ENISE), Laboratoire de Tribologie et Dynamique des Systèmes (LTDS), France;2. University of Canterbury, Department of Mechanical Engineering, 4800 Private Bag, Christchurch, New Zealand;3. University of Glasgow, Civil Engineering, Rankine Building, Glasgow G12 8LT, UK;4. CENAERO, Rue des Frères Wright 29, 6041 Gosselies, BELGIUM;1. G.W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332, United States;2. Raytheon Space and Airborne Systems, El Segundo, CA 90245, United States;1. University of Engineering and Technology, Peshawar, NWFP, Pakistan;2. Faculty of Engineering Sciences, GIK Institute, Topi, NWFP, Pakistan
Abstract:An analytic solution of the problem of the reflection of a modulated pressure pulse in the form of an “instantaneous jump and exponential relaxation” in a liquid from a plane boundary of a porous medium of infinite extent, saturated with the same liquid, is constructed. Using the analytic solutions obtained, a numerical analysis is given of the development of distinctive features of the reflected and transmitted waves depending on the porosity and permeability of the porous medium, and also the length of the pulse signal.
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