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On the non-classical problem of thermal conduction on anisotropic layers in R3
Authors:DI Bardzokas  TA Kirichok  LA Filshtinskii
Institution:1. School of Applied Mathematics and Physical Sciences, National Technical University of Athens, GR 157 73, Athens, Greece;2. Department of Applied Mathematics & Mechanics, Sumy State University, 40007 Sumy, Ukraine;1. College of Chemistry, Chemical Engineering and Materials Science, Soochow University, Suzhou 215123, China;2. Suzhou Institute of Nano-tech and Nano-bionics, Chinese Academy of Sciences, Suzhou 215123, China;1. Clermont Université, Université Blaise Pascal, Institut Pascal, BP 10448, F-63000 Clermont-Ferrand, France;2. CNRS, UMR 6602, Institut Pascal, F-63171 Aubière, France;3. Clermont Université, IFMA, Institut Pascal, BP 10448, F-63171 Aubière, France;1. The State Key Laboratory of Metal Matrix Composites, School of Materials Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China;2. Department of Plastic and Reconstructive Surgery, Shanghai Ninth People’s Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai Key Laboratory of Tissue Engineering National Tissue Engineering Centre of China, Shanghai 200011, PR China;3. School of Chemistry, University of Bristol, Cantock’s Close, Bristol BS8 1TS, United Kingdom;1. ETH Zurich, Nonmetallic Inorganic Materials, Wolfgang-Pauli-Strasse 10, 8093 Zurich, Switzerland;2. BASF SE, GK/IK-B001, 67056 Ludwigshafen, Germany;1. Department of Materials Science and Engineering, Graduate School of Engineering, Nagoya University, Nagoya 464-8603, Japan;2. Institute of Materials and Systems for Sustainability, Nagoya University, Nagoya 464-8603, Japan
Abstract:We propose a solution methodology for boundary problems of parabolic and hyperbolic thermal conduction on anisotropic layers in R3. We study the wave nature of heat transfer with pulse thermal effects in bounded bodies with cavity. We compare the solutions of the parabolic and hyperbolic equations of thermal conduction and we show that the assumption on the wave nature of energy transfer is justified under the conditions for high-speed processes.
Keywords:
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