Laser Non-Uniform Heating Of Moving Thin Wires Below The Biot Number Criterion Of Uniform Temperature

Keywords

3-dimentional heat conduction; Integral transformation; Laser heating; Thin wire

Abstract

An analytic solution is obtained for three-dimensional quasi-steady state temperature distribution during laser heating of moving thin wires. The wire moves at a constant speed through a vacuum chamber, which is back-filled with an inert gas such as argon, and a laser beam of rectangular cross-section is incident on the wire. The ambient gas provides a convection heat transfer mechanism, which yields a Biot number, Bi, for the heating process to determine whether the temperature distribution would be uniform or nonuniform in the cross-section of the wire. Generally, the criterion of Bi less than 0.1 is applied to assume spatially uniform temperature distribution in a solid. The temperature distribution is determined for different Bi numbers and the variation of the temperature in the azimuthal direction is analyzed. The method of solution involves the Fourier transform in the azimuthal direction and the Hankel transform in the radial direction for a three-dimensional quasi-steady state heat conduction equation containing an advection term that accounts for the motion of the wire. The thermal and optical properties of the material is assumed to be constant in the temperature range of this study. The heat loss due to radiation heat transfer between the wire surface and the surrounding environment is neglected due to the small laser-heated surface area. Using this model, the temperature profile is studied for different process parameters such as the incident laser power, laser beam profile, Biot number, and wire speed.

Publication Date

6-1-2016

Publication Title

Lasers in Manufacturing and Materials Processing

Volume

3

Issue

2

Number of Pages

111-130

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s40516-016-0024-9

Socpus ID

85028297130 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85028297130

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