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.
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U2 - 10.1080/10407782.2011.541211
DO - 10.1080/10407782.2011.541211
M3 - Article
AN - SCOPUS:79551511192
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 -