Transient natural 2D convection in a cylindrical cavity with the upper face cooled by thermoelectric Peltier effect following an exponential law

The present study is based on a numerical calculation involving the finite volume method. The transient 2D natural convection in vertical cylindrical cavities is addressed. Two cases have been examined. First we study the case of an adiabatic air-filled cavity whose upper face is submitted to a cooling following an exponential law observed experimentally, imposed by a Peltier’s module. Furthermore, we study the convection in an insuline-filled cylindrical cavity whose partition has a very weak thermal resistance. Space–time evolutions of temperature and velocity are presented, with the influence of the main representative parameters of the investigation. Local and mean thermal exchanges have been calculated, and we propose a Nusselt–Rayleigh type relation. The aim of this study is to determine the heat transfer in a long autonomy isothermal cavity designed for the conservation of insulin cartridges or any other product.