Analytical solution to laser short-pulse heating of microsized metal wire: volumetric and surface heat source considerations

2012 ◽  
Vol 90 (9) ◽  
pp. 911-918 ◽  
Author(s):  
B.S. Yilbas ◽  
A.Y. Al-Dweik
Keyword(s):  
Analytical Solution ◽  
Heat Source ◽  
Pulse Heating ◽  
Short Pulse ◽  
Thermal Contact ◽  
Lower Surface ◽  
Surface Heat ◽  
Metal Wire ◽  
Fourier Cosine ◽  
Volumetric Heat Source

Analytical solution for laser short-pulse heating of a micro-sized metal wire is presented. In the analysis, volumetric and surface heat sources are incorporated for the same pulse intensity. The volumetric heat source resembles absorption by irradiated field according to Lambert’s Beer law while a surface heat source represents short pulse heating through high intensity thermal contact at the surface. The method of Lie point symmetries is combined with a Fourier cosine transformation to solve the temperature equation with appropriate boundary conditions. It is found that temperature profiles differ significantly for volumetric heat source and surface heat source considerations; in which case, volumetric heat source consideration results in considerably lower surface temperatures than that of the surface heat source consideration.

Analytical solution for laser short-pulse heating of two-dimensional solids: volumetric and surface heat source considerations

2013 ◽  
Vol 91 (7) ◽  
pp. 522-529
Author(s):  
B.S. Yilbas ◽  
A.Y. Al-Dweik
Keyword(s):  
Analytical Solution ◽  
Heat Source ◽  
Energy Transport ◽  
Pulse Heating ◽  
Short Pulse ◽  
Thermal Response ◽  
Solid Substrate ◽  
Surface Heat ◽  
Heat Sources ◽  
Power Intensity

An analytical solution for lattice temperature distribution in a metallic solid subjected to laser short-pulse heating is presented. The method of similarity solution is adopted for the solution of the diffusive–ballistic energy equation. Volumetric and surface heat sources are each incorporated separately in the analysis. The material thermal response due to both heat sources during the short heating period is analyzed. It is found that a volumetric heat source resulted in smaller temperature increase in the irradiated material than a surface heat source, despite the same laser power intensity being used in both cases. This is attributed to energy transport mechanisms taking place in the solid substrate due to volumetric and surface heat sources.

scholarly journals Analytical solution for thermal transport in packed beds with volumetric heat source

2017 ◽  
Vol 316 ◽  
pp. 131-136 ◽  
Author(s):  
Mohammad-Sadegh Salehi ◽  
Maryam Askarishahi ◽  
Stefan Radl
Keyword(s):  
Analytical Solution ◽  
Heat Source ◽  
Thermal Transport ◽  
Packed Beds ◽  
Volumetric Heat Source

Laser pulse heating and phase change process: A comparison of volumetric heat source models

2009 ◽  
Vol 224 (8) ◽  
pp. 1697-1706 ◽  
Author(s):  
S Z Shuja ◽  
B S Yilbas ◽  
Z Ayar
Keyword(s):  
Laser Pulse ◽  
Heat Source ◽  
Phase Change ◽  
Laser Heating ◽  
Source Model ◽  
Surface Heat ◽  
Grid Spacing ◽  
Heat Source Model ◽  
Fine Grid ◽  
Volumetric Heat Source

In the laser heating process, irradiated energy is absorbed on the surface skin of the substrate material. This results in excess computational efforts due to grid arrangement in the irradiated region and the remaining region in the solution domain due to the fine grid spacing in the irradiated region. However, consideration of the surface heat source minimizes this problem, since it does not require fine grid spacing in the skin of the surface. In the present study, laser heating and phase change in the irradiated region are modelled. The laser heating situation is modelled after considering the volumetric heat source incorporating an absorption process (Beer—Lambert's Law) and the surface heat source model. The temperature distribution, melt layer, and solid—liquid zone (mushy zone) formed in the heated region are predicted for the volumetric and surface heat source heating models. This study is extended to include the influence of spatial distribution of the laser pulse on temperature rise and phase change processes. It is found that the surface heat source model predicts higher values of temperature than those corresponding to the volumetric heat source in the surface vicinity. As the depth increases, temperature distributions predicted from both models become almost identical. In addition, the melt layer thickness and mushy zone predicted from both models are almost identical.

Sign in / Sign up

Export Citation Format

Share Document