caa a22 4500 475839811 CHVBK 20180406123858.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1004800313714 doi (NATIONALLICENCE)springer-10.1023/A:1004800313714 Adler J. Department of Mathematics, Imperial College of Science Technology and Medicine, SW72BZ, London, United Kingdom aut Diffusion-controlled smoulder propagation in a composite slab [Elektronische Daten] [J. Adler] The steady propagation of a thin smouldering front parallel to the faces of a composite reactive slab has been considered. The slab consists of a double layer of solid with differing densities. As the smouldering front progresses into the solid it leaves behind an inert porous medium through which oxidizer is able to diffuse to the front. It is assumed that the reactive solid is sufficiently dense for no oxidizer to be present. The oxidizer concentration on one face of the slab is specified, the other being impervious to the transport of reactants. Dimensionless equations and boundary conditions are obtained for the concentration of oxidizer in the porous medium. These are solved to first order by use of a complex-variable method and a hodograph transformation giving the shape of the smouldering front for various parameter combinations. The analysis is extended to the case where the layers are of unequal thickness. Simple expressions for the shape of the front and the oxidizer concentration are obtained when one layer thickness is large. The model here considered is a first step in a more comprehensive analysis of smouldering in a non-uniform medium. Kluwer Academic Publishers, 2000 smoulder propagation nationallicence diffusion control nationallicence double layer nationallicence Journal of Engineering Mathematics Kluwer Academic Publishers 38/4(2000-11-01), 427-438 0022-0833 38:4<427 2000 38 10665 https://doi.org/10.1023/A:1004800313714 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004800313714 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Adler J. Department of Mathematics, Imperial College of Science Technology and Medicine, SW72BZ, London, United Kingdom aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers 38/4(2000-11-01), 427-438 0022-0833 38:4<427 2000 38 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 475839811 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer