期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2001
卷号:27
DOI:10.1155/S0161171201006469
出版社:Hindawi Publishing Corporation
摘要:This note is concerned with the three-dimensional quasi-steady-state
heat conduction equation subject to certain boundary conditions in the whole x′y′-plane and finite in z′-direction. This type of boundary value problem arises in laser welding
process. The solution to this problem can be represented by an
integral using Fourier analysis. This integral is approximated to
obtain a simple analytic expression for the temperature distribution.