Solution of a stefan problem in the theory of laser welding by the method of lines

摘要: Use of a laser beam as the source energy for penetration welding gives rise to long, thin cylindrical hole surrounded by molten metal. Material moves from front rear workpiece is translated relative laser, flowing around hole. A computer program has been written which solves equations governing 2-dimensional steady-state mathematical model in only spatial variations considered are plane perpendicular axis The uses method lines applied reformulation problem suitable solution isotherm migration technique. Computed results have found agree satisfactorily with those derived an analytical valid low speeds welding, and at higher they give similar what observed practice, although lack experimental evidence precludes detailed quantitative comparison present.