000013857 001__ 13857
000013857 005__ 20161115094003.0
000013857 04107 $$aeng
000013857 046__ $$k2016-08-21
000013857 100__ $$aMoreno-Boza, Daniel
000013857 24500 $$aThe Frank-Kamenetskii vortex

000013857 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000013857 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000013857 506__ $$arestricted
000013857 520__ $$2eng$$aThe effect of the buoyancy-driven motion on the quasi-steady “slowly-reacting” mode of combustion of a gaseous mixture enclosed in a spherical vessel with a constant wall temperature is addresed here. Following Frank-Kamenetskii’s (FK) analysis, combustion is modeled by an overall Arrhenius reaction with large activation energy, resulting in a critical value of the vessel radius above which the slowly-reacting mode of combustion no longer exists. In his buoyancy-free quasi-steady analysis the critical conditions were found to depend on the value of the Damk¨ohler number. For small values of Ra, temperature is given in the first approximation by the spherically symmetric FK distribution, involving an axisymmetric annular vortex determined at leading order. The analysis is extended to investigate the influence of convection on the resulting explosion limits through introduction of expansions for the flow variables in powers of Ra.

000013857 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013857 653__ $$a

000013857 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000013857 720__ $$aMoreno-Boza, Daniel
000013857 8560_ $$ffischerc@itam.cas.cz
000013857 8564_ $$s149997$$uhttps://invenio.itam.cas.cz/record/13857/files/PO.FM03-2.02.2.pdf$$yOriginal version of the author's contribution as presented on CD, XMLout( page 635, code PO.FM03-2.02.2).
000013857 962__ $$r13812
000013857 980__ $$aPAPER