On Group Classification and Nonlocal Conservation Laws for a Multiphase Flow Model
Abstract
The main objective of this study is five dimensional Lie algebra which describes the symmetry properties of a isothermal drift flux model of two phase flows. The classification provided is based on method given by Patera and Winternitz. Multi-dimensional optimal systems are obtained for the symmetry algebra of model. Further, using general theorem proved by Ibragimov we find several nonlocal conservation laws corresponding to every symmetry in one dimensional optimal system.