Application of hybrid differential transformation and finite difference method on the laser heating problem

Huan Sen Peng, Chieh-Li Chen

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A hybrid numerical technique which combines the differential transformation and finite difference approximation is employed to predict the laser heating problem. The energy transfer induced by laser irradiation in the solid is described by Fourier's law of conduction with an energy source modeled by Beer's law. The influences of convective boundary and dimensionless energy absorption at the surface are examined. It is found that at low Biot number, the peak temperature occurs at the surface. As the biot number increases, the location of the peak temperature moves inwards. In addition, the differential transformation results in a concise procedure than other integral transform methods.

Original languageEnglish
Pages (from-to)28-42
Number of pages15
JournalNumerical Heat Transfer; Part A: Applications
Volume59
Issue number1
DOIs
Publication statusPublished - 2011 Jan 1

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Biot number
Heat problems
Laser heating
laser heating
Finite difference method
Difference Method
Heating
Finite Difference
Fourier law
Laser
Fourier's Law
Beer law
Energy Absorption
integral transformations
Finite Difference Approximation
energy absorption
Energy absorption
Integral Transform
Energy Transfer
energy sources

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Condensed Matter Physics

Cite this

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Application of hybrid differential transformation and finite difference method on the laser heating problem. / Peng, Huan Sen; Chen, Chieh-Li.

In: Numerical Heat Transfer; Part A: Applications, Vol. 59, No. 1, 01.01.2011, p. 28-42.

Research output: Contribution to journalArticle

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