Similarity solutions for two‐phase fluids models

The algebraic properties of drift-flux two-phase fluids models without gravitational and wall friction forces are studied. More precisely, for the two we consider equation states polytropic gases. We perform a classification scheme unknown parameters model such that to determine all possible admitted Lie symmetries. find in most general case dynamical system hyperbolic equations is invariant under action four dimensional algebra, while larger number symmetries six. For each algebra one-dimensional optimal derived which applied determination unique similarity transformations lead solutions. Our results compared with previous studies from where see solutions presented this study have not found before literature.