The transmission of a plane acoustic wave through a non-uniform thermoelastic layer |
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| Institution: | 1. Department of Civil Engineering, National Institute of Technology Karnataka, Srinivasnagar, Mangalore 575025, India;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;3. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt;4. Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Italy;1. Department of Civil Engineering, National Institute of Technology Uttarakhand, Srinagar, Garhwal, 246 174, India;2. Department of Civil Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India;1. School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454003, PR China;2. LSIE-ERMAM, Faculté Polydisciplinaire d’Ouarzazate, Univ. Ibn Zohr, 45000 Ouarzazate, Morocco |
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| Abstract: | The reflection and refraction of a plane acoustic wave by a thermoelastic plane layer, non-uniform in thickness, bounded by non-viscous heat-conducting liquids, generally different, is considered. The system of equations for small perturbations of the thermoelastic medium is reduced to a system of ordinary differential equations, the boundary-value problem for which is solved by two methods: the spline-collocation method and the power-series method. Analytic expressions are obtained which describe the wave fields outside the layer. The results of calculations of the intensity transmission coefficient of the acoustic wave are presented. |
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