Cu-Fe合金凝固过程的温度场数值模拟

Simulation on Temperature Field of Cu-Fe Alloy Casting During Solidification

基于有限体积法,利用MATLAB软件对非稳态热传导微分方程进行数值求解,模拟了圆柱形铜模铸造下Cu-30%Fe合金铸件内的温度场分布及冷却速度。结果表明:对于不同尺寸的圆柱形铸件,随着圆柱直径的增大,铸件内部的温度梯度增大,同时冷却速度和固相率增长变小。当铸件直径为10 mm时,铸件内最大(下边缘点处)的冷却速率达到103℃/s数量级,而当铸件直径大于10 mm时,铸件内最大冷却速度为102℃/s数量级,随着铸件温度的降低,其内部的热量不断释放,冷却速度也逐渐减小。

The temperature field and the cooling speed of cylinder-shape ingots with different sizes were respectively simulated by using the Matlab software to solve the unsteady heat-conduction differential equation based on the finite volume method. The simulation results show that, with the increase of the diameter of cylinder-shape ingot, the internal temperature gradient of the ingot increases, while the cooling speed and the increasing speed of solid phase rate reduce apparently. When the diameter of the cylinder-shape ingot is 10 mm, the maximum cooling rate is the order of 103℃/s in the casting, while the diameter is bigger than 10 mm, the maximum cooling rate is the order of 102℃/s. With the reduce of the temperature in castings, the internal heat flux of the ingot release continually and the cooling rate decrease gradually.