| Summary: | 碩士 === 中原大學 === 土木工程研究所 === 100 === This research studied the two-phase flow models to investigate the metallurgical flows phenomena in isothermal condition. The least-square finite element method (LSFEM) is adopted for the numerical simulation of the three-dimensional incompressible fluid represented by conservation form of mass and momentum equations. For a complete description of the free-surface motion, a volume of fluid (VOF) method with fixed Euler inertia coordinate is adopted. “Color function” is expressed by a continuous function to express the interface of two-phase fluid.
This paper simulates the metallurgical flows in isothermal condition of four different setups. First the simulation of tapping phenomena in ferro-alloy furnaces and is compared with numerical simulation of Johansen (2002) in 2-D phenomena, next the three-dimensional dam break the metallurgical flows in isothermal condition will be compared with experimental data of Martin J. C. and Moyce W. J. (1952) also with numerical simulation of water dam break. The same as above setup, the third case is about a long cylindrical body set in the channel to observe the metallurgical flows, free surface variations after the collision of flow on the cylinder. Simulation of three-dimensional spherical liquid drop deformation under the influence of gravity is the last case, changes in wave position in front of the metallurgical droplet at different times is presented by assuming that the bottom of the model with free slip or no slip boundary conditions, respectively. From these cases, we can apply the three-dimensional model in the simulation of metallurgical flows.
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