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 language | English |
|---|---|
| Pages (from-to) | 28-42 |
| Number of pages | 15 |
| Journal | Numerical Heat Transfer; Part A: Applications |
| Volume | 59 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2011 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Condensed Matter Physics
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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 journal › Article
TY - JOUR
T1 - Application of hybrid differential transformation and finite difference method on the laser heating problem
AU - Peng, Huan Sen
AU - Chen, Chieh-Li
PY - 2011/1/1
Y1 - 2011/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=79551511192&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79551511192&partnerID=8YFLogxK
U2 - 10.1080/10407782.2011.541211
DO - 10.1080/10407782.2011.541211
M3 - Article
VL - 59
SP - 28
EP - 42
JO - Numerical Heat Transfer; Part A: Applications
JF - Numerical Heat Transfer; Part A: Applications
SN - 1040-7782
IS - 1
ER -