variavel0=HUMBERTO ARAUJO MACHADO - machado@univap.br UNIVAP Abstract. In capillary and micro heat pipes the internal porous media is replaced by a capillary groove, yielding a meniscus formed by the liquid phase. The meniscus height varies along the groove length, from the condenser section to the evaporator section, and the difference between the pressures in each extremity is responsible for pumping the liquid. Such devices have been employed in electronic cooling, due its small dimensions. This system provides excellent thermal control, assuring uniform temperature distribution. In previous works related to capillary heat pipe simulation, empirical or simple 1-D models have been used, but not taking into account the complete unsteady phenomena. In this work, the physical model and the 2-D unsteady simulation of a flat capillary two-dimensional meniscus is presented. The phase change problem of a heated liquid meniscus in a groove is simulated via an interface tracking method, which is an hybrid Lagrangean-Eulerian method for moving boundary simulation. A variation of the one-dimensional Stephan problem is used to validate the numerical code. The presented method may be extended easily to 3-D processes for any groove geometry. Keywords. Capillary meniscus, Interface tracking, Phase change, Moving boundary.