NUMERICAL INVESTIGATION INTO SOLIDIFICATION IN A HORIZONTAL ANNULUS Author Vu Van Truong Hanoi University of Science and Technology; truong vuvan1@hust edu vn Abstract This paper presents a numerical[.]
NUMERICAL INVESTIGATION INTO SOLIDIFICATION IN A HORIZONTAL ANNULUS Author: Vu Van Truong Hanoi University of Science and Technology; truong.vuvan1@hust.edu.vn Abstract: This paper presents a numerical investigation into the solidification process in an annulus that is placed horizontally The method used is a front-tracking method combined with a linear interpolation technique The inner wall of the annulus is held at cold temperature, which is lower than the melting point of the liquid, while its outer wall is insulated during solidification Accordingly, the solidification initially takes place around the inner wall, and evolves in the direction of increasing the annulus radius Various parameters such as the Rayleigh number (Ra), the Stefan number (St), and the initial temperature of the liquid (θ0) are investigated The numerical results show that increasing any of these parameters enhances the eccentricity of the solidified layer during the initial stages of solidification Moreover, an increase in Ra or St reduces the time for completing solidification However, the solidification process takes longer with increasing θ0 In addition, the effect of the annulus eccentricity is also investigated Key words: Numerical simulation; Solidification; Annulus; Rayleigh number; Stefan number