Jeudi 4 décembre à 10h00, salle des séminaires IRPHE
Abstract: This talk examines the two primary aspects of flame confinement in narrow channels. The first is thermal, where heat loss to cold walls leads to quenching. We determine quenching distances as functions of the Lewis number and flow amplitude for both aiding and opposing flows, and examine the emergence of asymmetric flames and related instabilities. The second aspect is hydrodynamic, where Darcy's law replaces the Navier-Stokes equation, profoundly influencing instabilities such as Darrieus-Landau and Saffman-Taylor. Related effects, including the role of Markstein numbers in characterising the influence of flow strain and front curvature on propagation, are also addressed. This hydrodynamic analysis provides insights applicable to propagating interfaces beyond combustion, including in porous media.
Dr. Joel Daou - département de mathématiques de l'université de Manchester