The excess viscosity can be expressed in power of the density. The resulting temperature dependence shows again the Enskog minimum, which is shifted towards higher temperatures for higher pressures. Summary From these properties one can deduce that the effect of the pressure will have different influence in the intermediate and very high pressure. For the intermediate pressures , the convective energy transfer increases due to sharp increase of the density and the heat capacity. For very high pressure the increase of viscosity slows the convective motion exerting stabilizing influence on the gas system.
Similar influence has sharp decrease of the volume expansion coefficient.
Furthermore, the increase of the conductivity reduces temperature gradients requiring higher heat power of the furnace which poses more stringent demands for the heat production in the system. The increase of the density and heat capacity plays minor role and will not reduce the convective transport in a significant way. A radiative heat transfer is not affected by the pressure changes. Therefore we assumed that this radiative heat exchange is not affected by the pressure in all our simulations. The code is solving entire set of Navier-Stokes equations for liquid part of the system and the thermal conductivity equation for the solid part.