期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：1998
卷号：95
期号：23
页码：13384-13386
DOI：10.1073/pnas.95.23.13384
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：The classical problem of the thermal explosion in a long cylindrical vessel is modified so that only a fraction of its wall is ideally thermally conducting while the remaining fraction 1- is thermally isolated. Partial isolation of the wall naturally reduces the critical radius of the vessel. Most interesting is the case when the structure of the boundary is a periodic one, so that the alternating conductive and isolated 1- parts of the boundary occupy together the segments 2{pi}/N (N is the number of segments) of the boundary. A numerical investigation is performed. It is shown that at small and large N, the critical radius obeys a scaling law with the coefficients depending on N. For large N, the result is obtained that in the central core of the vessel the temperature distribution is axisymmetric. In the boundary layer near the wall having the thickness {approx}2{pi}r0/N (r0 is the radius of the vessel), the temperature distribution varies sharply in the peripheral direction. The temperature distribution in the axisymmetric core at the critical value of the vessel radius is subcritical.
