Subsonic flow past localised heating elements in boundary layers

The problem of subsonic flow past micro-electro-mechanical-type (MEMS-type) heating elements placed on a flat surface, where the MEMS devices have hump-shaped surfaces, is investigated using triple deck theory. The compressible Navier-Stokes equations supplemented by the energy equation are considered in the limit that the Reynolds number is large. The triple deck problem is formulated and the linear and non-linear analysis and results are presented. The current work is a generalisation of the problem discussed by (Koroteev & Lipatov 2012, 2013) where the MEMS devices have flat shaped surfaces. The results show the hump-shaped heating elements enhance large drops in pressure and peaks and troughs in the skin-friction over the centre of the hump as compared to the flat shaped devices which may be useful for controlling the flow.