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An analytical solution for a transient temperature field during laser heating a finite slab

机译：有限坯板激光加热过程中瞬态温度场的解析解

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摘要

This paper presents a general solution for the transient temperature field in a finite slab, when heated by a moving laser heat source. The analytical solution was solved by integral transform method. The eigenvalues were obtained by the method of separation of variables. In the presented model, finite region and general convective boundary conditions were assumed. Meanwhile, experiment and FEM simulation were performed as a verification under a specific case. For the experiment, a continuous wave YAG laser system was used to scan an aluminum sheet, and temperature histories at various points were logged for comparison. For the FEM simulation, a 3D transient heat transfer model was adopted with a subroutine to implement the moving laser beam. The results showed that the analytical solution was consistent with both the experimental data and FEM simulation.
机译：本文提出了一个有限的平板中的瞬态温度场的一般解决方案，当它被移动的激光热源加热时。解析解通过积分变换法求解。特征值是通过变量分离方法获得的。在提出的模型中，假设了有限区域和一般对流边界条件。同时，在特定情况下进行了实验和有限元模拟作为验证。对于实验，使用连续波YAG激光系统扫描铝板，并记录各个点的温度历史以进行比较。对于FEM仿真，采用3D瞬态传热模型和一个子例程来实现移动的激光束。结果表明，该解析解与实验数据和有限元模拟均吻合。

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