Direct contact heat transfer between liquids has the advantage of eliminating metallic heat transfer surfaces which are prone to corrosion and fouling. In addition, if phase change occurs, a larger heat capacity for heat absorption is available. The mechanism of heat transfer between two immiscible phases and dynamics of a vaporizing drop are, relatively, more complex than either that of a drop or a bubble of constant radius.As reported by Sideman and Taital(1964), Simpson et al. (1974), and Sambi (1981), a dispersed liquid droplet changes its shape from spherical through ellipsoidal to a capshaped bubble diiring the course of evaporation through continuous immiscible liquid medium. In addition to these changes in shape, the two-phase bubble oscillates causing the unevaporated dispersed liquid in the twophase bubble to slosh from side to side. The combined effect of irregular transformation in the shape of the two-phase bubble, sloshing of the unevaporated liquid in the two-phase bubble, and its zigzag trajectory has complicated the study of the mechanism of heat transfer and dynamics of a vaporizing drop.As far as theoretical expressions for heat transfer involved, motion of the evaporating two-phase bubble, and the total time of its evaporation are concerned, the complicated nature of the problem has stood in the way of workers in developing suitable models that could represent the experimental data.In pursuit of such a study, a mathematical model for the heat transfer coefficient has already been developed (Raina and Grover, 1982). This paper deals with the motion of the vaporizing two-phase bubble.Based on the results of their experimental studies of the motion of expanding bubbles, Sideman and Taitel(l964) developed the following empirical formula for the pentane-water system describing the relationship between the position of the bubble and time. H = Ho + BtP or Quantitative description of the behavior of single bubble and drop dispersions in continuous fluid is of ten based on the descrip-