The physical and mathematical models of the Marangoni convection in liquid bridge with liquid encapsulation (or two immiscible coaxial liquid columns ) are established. Numerical simulation of the Marangoni convection in liquid bridge with liquid encapsulation is performed by employed vorticity-streamfunction method and the Alternative Direction Implicit scheme in finite difference. The distribution of temperature and flow in two liquid columns is then obtained. The influence law of the dynamic viscosity ratio of the inner liquid to the outer liquid to the Marangoni convection in liquid bridge with liquid encapsulation is obtained. We conducted that the dynamic viscosity play a prominent role in influencing the Marangoni convection of two immiscible coaxial liquid columns. The Marangoni convection in the inner liquid (or liquid bridge) is reduced extremely along with the augmentation of the dynamic viscosity radio μ~* of the inner liquid to the outer liquid.
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