An approximate analytic solution of a particular boundary value problem
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 represente...
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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Wiley
2001-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171201006469 |
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Summary: | 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. |
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ISSN: | 0161-1712 1687-0425 |