Abstract: The physical and mathematical models of the Marangoni convection in an encapsulated liquid column (or two immiscible coaxial liquid columns) are established. A numerical simulation of the Marangoni convection in the encapsulated liquid column is performed by employing vorticity-streamfunction method and alternative direction implicit scheme based on finite difference. The distributions of temperature and flow field in two immiscible coaxial liquid columns are obtained. It is verified that the liquid encapsulation can reduce the Marangoni convection in the encapsulated liquid bridge. Effects of a series of non-dimensional parameters on Marangoni convection are analyzed.Keywords: liquid bridge with liquid encapsulation, Marangoni convection, numerical analysis, microgravity