Abstract: Two sets of algebraically explicit analytical solution are derived for the partial differential equation set describing the one dimensional unsteady gas-liquid two phase flow. The first set of solution only consists of simple functions of time and geometry. The physical meaning of this analytical solution is clear and typical. The second set of solution includes arbitrary functions and is of the form of moving wave. It is specially suitable for the investigation of two phase flow in which wave transferring exists and to express different flows by series.

Key words: Analytical solution, Two phase flow, Unsteady flow