Multiphase, Multicomponent Flow in Porous Media with Local Thermal Non-equilibrium in a Multiphase Mixture Model

For multiphase, multicomponent flow, the multiphase mixture model of Wang and Cheng (Int J Heat Mass Trans 39(17):3607-3618, 1996) has been used in the literature. In our self-written solver, based on this mathematical background, we use a modified multiphase mixture model for a simple transpiration cooling application. In this modeling approach, we do not solve for every phase or component separately. Instead, we solve for mixture variables and thus only use a simple set of conservation equations, which is valid in the entire domain. The information of concentration of components and phase saturations is incorporated within the multiphase mixture variables and can be extracted out of them easily with arithmetic equations. It has been shown that this approach is completely equivalent to using the separate phase models. We implemented an augmentation to local thermal non-equilibrium; i.e., we allow for different fluid and solid temperatures locally. We show solutions for stationary cases of evaporation and discuss the effect of variation of heat input, inlet temperature, inlet mass flux and fraction of components.