caa a22 4500 477077544 CHVBK 20180405111442.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF00036616 doi (NATIONALLICENCE)springer-10.1007/BF00036616 Adler J. Department of Mathematics, Imperial College of Science, Technology & Medicine, SW7 2BZ, London, U.K. aut Diffusion controlled smoulder propagation in a thin slab [Elektronische Daten] [J. Adler] Complex variable techniques are used to determine the shape of the smouldering reaction front and the concentration of the oxidizer behind the front for steady smoulder propagation in a solid slab of exothermically reacting material. It extends an earlier free boundary problem of Adler and Herbert which considered diffusion controlled smoulder propagation in a half-space. The region behind the reaction front is assumed to be porous, the oxidizer diffusing from both planar surfaces to the front, where its concentration vanishes. Suitable scaling allows the oxidizer concentration to be expanded in powers of a small parameter. The resulting coupled differential equations for the coefficients are solved in terms of functional equations. Some consideration is given to the regions where the front meets the planar surfaces. It is shown that, close to the leading edge, the surface concentration varies monotonically with distance from the edge. Kluwer Academic Publishers, 1996 smoulder propagation nationallicence diffusion control nationallicence complex methods nationallicence Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/5(1996-09-01), 527-545 0022-0833 30:5<527 1996 30 10665 https://doi.org/10.1007/BF00036616 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00036616 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Adler J. Department of Mathematics, Imperial College of Science, Technology & Medicine, SW7 2BZ, London, U.K aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/5(1996-09-01), 527-545 0022-0833 30:5<527 1996 30 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 475839811 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer