A Numerical Procedure for Two Dimensional Heating and Melting Calculations, with Applications to Laser Effects
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
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A method for determining the two dimensional transient temperature distribution and progression of melting in disks subjected to an applied flux over one face is given. The calculations are performed by dividing the solid into a number of finite elements and performing a heat balance over finite time increments. The method was found to give good agreement with known solutions for two dimensional heat conduction problems and one dimensional melting problems. Two dimensional melting problems in alumina, titanium, stainless steel, and magnesium are also considered as examples of the method. The results include a demonstration that the time required to melt through approaches the time predicted by a one dimensional axial heat balance if the power per unit thickness is sufficiently large.
- Physical Chemistry