Method of Lines to Solve the Linear Temperature Field of LENS

Chun Fang Xue

doi:10.4028/www.scientific.net/AMR.1120-1121.1441

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1120-1121Method of Lines to Solve the Linear Temperature...

Method of Lines to Solve the Linear Temperature Field of LENS

Abstract:

This article introduces a semi-analytical numerical method ——method of lines(MOLs) to solve steady temperature field of Laser Engineered Net shaping (LENS). The main idea of MOLs is to semi-discretized the governing equation of thermal transfer problem into a system of ordinary differential equations (ODEs) defined on discrete lines by means of the finite difference method. The steady linear temperature fields of functionally graded materials were obtained using MOLs and the regularities of different temperature functions were also found. The effects of thermal conductivity coefficient under different formal functions on thermal temperature fields were analys. Numerical results showed that different material thermal conductivity function had obvious different effect on the temperature field.

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Periodical:

Advanced Materials Research (Volumes 1120-1121)

Pages:

1441-1445

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1120-1121.1441

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Online since:

July 2015

Authors:

Chun Fang Xue*

Keywords:

Laser Engineered Net Shaping, Method of Lines, Temperature Field

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