复合圆筒壁非稳态导热类问题的近似解法

A New Approximate Solution for Multiple-layer Cylindrical Walls of Unsteady-state Heat Conduction

建立了复合圆筒壁导热类问题的数学模型 ,采用Laplace变换和Stehfest数值反演技术对拉氏变换进行多次迭代反演 ,求得温度分布的近似解。室内复合圆筒壁的非稳态测温装置的测试结果验证了该解法的精度高 ,适用于不同的初边值条件或含内热源的导热问题 。

The mathematical model is established for multiple layer cylindrical walls.The iteration and inversion methods are used for Laplace transformation by application of the Laplace transf ormation and Stehfest numerical inversion method.The temperature profile is obtained.The room measurem ent results verify that the solution method is at the high precision.The solution method is also used u nder different initial and boundary conditions with different heat source systems. The solution method can be applied to several engineering fields.