Abstract: Gas-liquid mixed transmission is essentially a complex coupling process of unsteady state flow, heat transfer and mass transfer of multi-phase multi-component. In gas-liquid mixed transmission pipelines, there is momentum, energy and mass transfer at gas-liquid interface besides energy and momentum transfers between the fluid and the pipe wall. In this paper, the research achievements related with the mathematic models of gas-liquid two-phase flow were reviewed. Then, the research status and limitation of gas-liquid two-phase mathematical models which don't consider the effects of heat transfer and mass transfer sufficiently were analyzed from the aspects of one dimension and multi-dimension, and steady state and unsteady state respectively. Moreover, the research progress of gas-liquid two-phase mathematical models considering the effect of heat transfer and phase change coupling was discussed. And finally, it was pointed out that the key issues and main development directions in the future study on this field shall be the phase interface tracking of conjugating heat transfer and phase change theory, the influence of complex mechanisms at gas-liquid two-phase interface on heat and mass transfer, the simulation of turbulence flow in complex gas-liquid two-phase flow regime, the gas-liquid two-phase equilibrium and non-equilibrium phase change mechanisms, and the fast and efficient algorithm for solving multi-dimension mathematical models of gas-liquid two-phase flow.