Analytical Solution for a Transient Three-Dimensional Temperature Distribution in Laser Assisted Machining Processes

Volume 3 ◽  
2004 ◽  
Author(s):  
Gustavo Gutierrez ◽  
Juan Guillermo Araya
Keyword(s):  
Temperature Distribution ◽  
Analytical Solution ◽  
Heat Source ◽  
Three Dimensional ◽  
Laser Source ◽  
Finite Domain ◽  
Transient Temperature ◽  
Moving Heat Source ◽  
Infinite Domains ◽  
Laser Assisted Machining

Laser assisted machining is a recent technique for machining brittle ceramic materials by first softening them by heating the material with a laser beam, without reaching the melting point and, in this way, minimizing the damage of the workpiece and tool. The use of a laser source is a common procedure in numerous electronic and optical material processes. This research presents a new analytical solution to determine transient temperature distributions in a finite solid when it is heated by a moving heat source. The analytical solution is obtained by solving the transient three-dimensional heat conduction equation in a finite domain by the method of separation of variables. Previous studies focus on analytical solutions for semi-infinite domains. In this study, for a moving heat source, the temperature field is obtained in a finite domain. The purpose of this study is to obtain an analytical solution to predict transient temperature distribution in a finite solid due to a moving heat source.

Temperature Distribution in a Finite Solid Due to a Moving Laser Beam

2003 ◽  
Author(s):  
Gustavo Gutierrez ◽  
Juan Guillermo Araya
Keyword(s):  
Temperature Distribution ◽  
Heat Source ◽  
Laser Beam ◽  
Control Volume ◽  
Cutting Speed ◽  
High Energy ◽  
Industrial Applications ◽  
Energy Concentration ◽  
Laser Source ◽  
Finite Domain

Laser machining has been gaining a wider field in industrial applications. One of the key factors in this process is to understand accurately the temporal evolution of the temperature field during laser-material interaction, in order to omptimize the input parameters of the process such as laser power and cutting speed. In the present study, a numerical simulation of the temperature distribution generated by a moving laser beam is analyzed in detail for a finite domain. The transient heat conduction is discretized using a control volume approach. The laser source is modeled as a concentrated heat source. Due to high-energy concentration of the laser beam, the region around the laser need to have a finer grid in order to achieve accurate results. A constant grid is generated in the direction of the moving source and a variable grid in the other two directions to obtain a better resolution around the position of the heat source. Radiation and convection effects are also discussed.

scholarly journals A semi-analytical solution of three-dimensional transient temperature field for a uniform plate subjected to Gaussian-distribution laser heat source

2019 ◽  
pp. 268-268
Author(s):  
Xiaogui Wang ◽  
Yili Xiao ◽  
Ninghua Gao ◽  
Lihua Liang ◽  
Congda Lu ◽  
...  
Keyword(s):  
Temperature Field ◽  
Analytical Solution ◽  
Heat Source ◽  
Gaussian Distribution ◽  
Three Dimensional ◽  
Source Distribution ◽  
Transient Temperature ◽  
Laser Heat ◽  
Transient Temperature Field ◽  
Laser Heat Source

One three-dimensional transient temperature field model for a thin uniform plate caused by a moving laser heat source is described in present study. The heat source model with a power density in Gaussian-distribution form is considered when a finite-thin uniform plate is heated. By using the separate variable method (SVM) and the Newton Cotes method (NCM), a semi- analytical solution of three-dimensional heat conduction equation in the finite field is obtained. Numerical results show that the effect of laser heat source distribution, laser moving speed as well as aspect ratio of the thin uniform plate have great influence on the three-dimensional distribution of the temperature field.

Boundary Condition Design to Heat a Moving Object at Uniform Transient Temperature Using Inverse Formulation

2004 ◽  
Vol 126 (3) ◽  
pp. 619-626 ◽  
Author(s):  
Hakan Ertu¨rk ◽  
Ofodike A. Ezekoye ◽  
John R. Howell
Keyword(s):  
Boundary Condition ◽  
Temperature Distribution ◽  
Design Problem ◽  
Manufacturing Industry ◽  
Three Dimensional ◽  
Chemical Deposition ◽  
Iterative Solution ◽  
Conveyor Belt ◽  
Temperature History ◽  
Transient Temperature

The boundary condition design of a three-dimensional furnace that heats an object moving along a conveyor belt of an assembly line is considered. A furnace of this type can be used by the manufacturing industry for applications such as industrial baking, curing of paint, annealing or manufacturing through chemical deposition. The object that is to be heated moves along the furnace as it is heated following a specified temperature history. The spatial temperature distribution on the object is kept isothermal through the whole process. The temperature distribution of the heaters of the furnace should be changed as the object moves so that the specified temperature history can be satisfied. The design problem is transient where a series of inverse problems are solved. The process furnace considered is in the shape of a rectangular tunnel where the heaters are located on the top and the design object moves along the bottom. The inverse design approach is used for the solution, which is advantageous over a traditional trial-and-error solution where an iterative solution is required for every position as the object moves. The inverse formulation of the design problem is ill-posed and involves a set of Fredholm equations of the first kind. The use of advanced solvers that are able to regularize the resulting system is essential. These include the conjugate gradient method, the truncated singular value decomposition or Tikhonov regularization, rather than an ordinary solver, like Gauss-Seidel or Gauss elimination.

Direct observation of three-dimensional transient temperature distribution in SiC Schottky barrier diode under operation by optical-interference contactless thermometry (OICT) imaging

2022 ◽  
Author(s):  
Keiya Fujimoto ◽  
Hiroaki Hanafusa ◽  
Takuma Sato ◽  
Seiichiro HIGASHI
Keyword(s):  
Temperature Distribution ◽  
Schottky Barrier ◽  
Hot Spot ◽  
Local Heating ◽  
Three Dimensional ◽  
Schottky Barrier Diode ◽  
Transient Temperature ◽  
Optical Interference ◽  
Transient Temperature Distribution ◽  
Heating And Cooling

Abstract We have developed optical-interference contactless thermometry (OICT) imaging technique to visualize three-dimensional transient temperature distribution in 4H-SiC Schottky barrier diode (SBD) under operation. When a 1 ms forward pulse bias was applied, clear variation of optical interference fringes induced by self-heating and cooling were observed. Thermal diffusion and optical analysis revealed three-dimensional temperature distribution with high spatial (≤ 10 μm) and temporal (≤ 100 μs) resolutions. A hot spot that signals breakdown of the SBD was successfully captured as an anormal interference, which indicated a local heating to a temperature as high as 805 K at the time of failure.

Study on Welding Deformations of Shipboard of Container Vessel

2011 ◽  
Vol 488-489 ◽  
pp. 218-221
Author(s):  
Hong Li ◽  
Da Lu Qiu ◽  
Guang Lei Li ◽  
Hui Long Ren
Keyword(s):  
Heat Flux ◽  
Heat Source ◽  
Three Dimensional ◽  
Temperature Fields ◽  
Transient Temperature ◽  
Plastic Strains ◽  
Out Of Plane ◽  
Inherent Strain ◽  
Nonlinear Behaviors ◽  
Plane Deformations

Residual plastic strains of the shipboard are the product of nonlinear behaviors during welding. Deformations of a welded shipboard injure the beauty of appearance of the ship, cause errors during the assembly of the shipboard and reduce the strength of the ship. Residual welding deformations of shipboard of a container vessel are studied in this paper. Nonlinear three dimensional transient temperature fields are analyzed by FEM first. The heat source is modeled as a moving heat flux following a Gaussian distribution. Then, applying the equivalent loads induced by the inherent strain on the shipboard, the final in-plane shrinkage and out-of-plane deformations are calculated. Being compared with the experimental results of deformations, the simulated results show mostly conformity.

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