An approximate analytic solution of a particular boundary value problem
2001 ◽
Vol 27
(8)
◽
pp. 513-520
Keyword(s):
This note is concerned with the three-dimensional quasi-steady-state heat conduction equation subject to certain boundary conditions in the wholex′y′-plane and finite inz′-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.
1994 ◽
Vol 95
(4)
◽
pp. 2022-2028
Keyword(s):
1983 ◽
Vol 5
(1)
◽
pp. 346-355
2009 ◽
Vol 06
(03)
◽
pp. 577-614
◽
2019 ◽
Vol 12
(1)
◽
pp. 70-86
◽