NUmerical Study Of Phase Change Problem With Periodic Boundary Condition

A finite difference approach to spherical and cylindrical phase change problem with periodic boundary condition is established by using an invariant-space-grid method. The motion of the moving interface and the temperature field are simulated numerically. Also the effects of the Stefan number, the amplitude and frequency of the periodically oscillating surface temperature on the motion of the moving interface and the temperature distribution are analyzed. Numerical experiments show that, for given amplitude and frequency, the Stefan number strongly influences the temperature distribution and the evolution of the moving interface, while the effect of the oscillating boundary temperature on the evolution of the moving interface is more pronounced when the phase change domain is small and diminishes as the domain grows. And comparing with spherical phase change, cylindrical phase change is influenced more strongly by the Stefan number.