caa a22 4500 475839927 CHVBK 20180406123858.0 cr unu---uuuuu 170329e20000801xx s 000 0 eng 10.1023/A:1004733503039 doi (NATIONALLICENCE)springer-10.1023/A:1004733503039 The effect of spatial inhomogeneity in thermal conductivity on the formation of hot-spots [Elektronische Daten] [A. Andonowati, Daniel Chandra] The steady-state microwave heating of a unit slab consisting of three layers of materials with different thermal conductivities is examined. The governing equations are a damped wave equation derived from Maxwell's equations and a heat-force equation for the temperature. As the primary concern is to investigate the dependence of the steady-state on the thermal-conductivity parameter, a simplifying assumption is made, namely that the electrical conductivity is temperature-independent. Under this assumption, the damped wave equation governing the electric field may be solved separately. An eigenfunction expansion for the problem based on the Galerkin method is described and a fundamental-mode approximation is presented. If this approximation is applied to a unit slab composed of three layers with different thermal conductivities, the hot-spot formation can be addressed and a global steady-state solution is found for the whole domain. Numerical results for some different cases of the three-layer combinations are interpreted to gain some insight in parameter dependence and the position of the low-thermal-conductivity inner layer related to hot-spot formation. Kluwer Academic Publishers, 2000 microwave heating nationallicence hot-spot nationallicence spatial inhomogeneity nationallicence thermal conductivity nationallicence fundamental-mode approximation nationallicence Andonowati A. Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands aut Chandra Daniel Department of Mathematics and Computing Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut Journal of Engineering Mathematics Kluwer Academic Publishers 38/2(2000-08-01), 101-118 0022-0833 38:2<101 2000 38 10665 https://doi.org/10.1023/A:1004733503039 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004733503039 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Andonowati A. Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands aut NATIONALLICENCE 700 1- Chandra Daniel Department of Mathematics and Computing Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers 38/2(2000-08-01), 101-118 0022-0833 38:2<101 2000 38 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer