Date/Time Date(s) - 02/02/202611:30 am - 12:30 pm
Speaker: Fabian Bleitner (McMaster University)
Location: TBC
Title: Gradients on boundaries, slip conditions, and Rayleigh-Bénard convection
Abstract: We first introduce the Rayleigh-Bénard problem and briefly review scaling laws for heat transfer, with a special focus on boundary conditions. In particular, we justify the use of slip boundary conditions. Using energy methods, boundary gradients naturally emerge for these conditions. Recently, a more refined treatment of these gradients showed an improvement in the bounds for scaling laws. Based on these findings, we discuss ideas and challenges associated with further exploiting this technique.