On a simplified fluid dynamic description of some renewable power plants

Thu, 31/05/2012
16:00
Ingenuin Gasser (Universität Hamburg) Industrial and Applied Mathematics Seminar Add to calendar DH 1st floor SR
In this seminar we discuss the gas dynamics of chimneys, solar updraft towers and energy towers. The main issue is to discuss simple fluid dynamic models which still describe the main features of the mentioned applications. We focus first on one dimensional compressible models. Then we apply a small Mach number asymptotics to reduce to complexity and to avoid the known problems of fully compressible models in the small Mach number regime. In case of the energy tower in addition we have to model the evaporation process. Finally we obtain a much simpler fluid dynamic model which allows robust and very fast numerical simulations. We discuss the qualitative behaviour and the good agreement with expermental data (in cases such data are available).