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.

scholarly journals Simulating Convective-Radiative Heat Sinks Effect by means of FEA-based Gaussian Heat Sources and Its Approximate Analytical Solutions for Semi-Infinite Body

2021 ◽  
Author(s):  
Ninh The Nguyen ◽  
John H Chujutalli
Keyword(s):  
Temperature Field ◽  
Heat Source ◽  
Analytical Solutions ◽  
Radiative Heat ◽  
Source Model ◽  
Heat Sinks ◽  
Transient Temperature ◽  
Measured Temperature ◽  
Heat Source Model ◽  
Transient Temperature Field

Abstract FEA-based Gaussian density heat source models were developed to study the effect of convective and radiative heat sinks on the transient temperature field predicted by the available approximate analytical solution of the purely conduction-based Goldak’s heat source. A new complex 3D Gaussian heat source model, incorporating all three modes of heat transfer, i.e., conduction, convection and radiation, has been developed as an extension of the Goldak heat source. Its approximate transient analytical solutions for this 3-D moving heat source were derived and numerically benchmarked with the available measured temperature & weld pool geometry data by Matlab programming with ~5 to 6 times faster than FEA-based simulation. The new complex 3D Gaussian heat source model and its approximate solution could significantly reduce the computing time in generating the transient temperature field and become an efficient alternative to extensive FEA-based simulations of heating sequences, where virtual optimisation of a melting heat source (i.e. used in welding, heating, cutting or other advanced manufacturing processes) is desirable for characterisation of material behaviour in microstructure evolution, melted pool, microhardness, residual stress and distortions.

Numerical Simulation of Three-Dimensional Molten Pool Temperature Field and Flow Field for Laser Melt Injection Based on Fluent

2012 ◽  
Vol 538-541 ◽  
pp. 1837-1842 ◽  
Author(s):  
Long Zhi Zhao ◽  
Zi Wang ◽  
Xin Yan Jiang ◽  
Jian Zhang ◽  
Ming Juan Zhao
Keyword(s):  
Temperature Field ◽  
Liquid Metal ◽  
Molten Pool ◽  
Metal Flow ◽  
Three Dimensional ◽  
Transient Temperature ◽  
Transient Temperature Field ◽  
Liquid Metal Flow ◽  
Fluent Software ◽  
Thermo Physical Properties

According to the characteristics of laser melt injection, a numerical model for a simplified 3D transient temperature field in molten pool was established using FLUENT software in this paper. In the model, many factors were considered such as liquid metal turbulence, latent heat of phase transformation and material thermo physical properties depending on temperature. The results show that the model can be developed well by FLUENT software. And the results also show that the driving force of the liquid metal flow mechanism.

Analytical Solution for Transient Temperature Field Around a Cased and Cemented Wellbore

2005 ◽  
Author(s):  
Vanessa Pereira Separ King ◽  
Lucia Carvalho Coelho ◽  
Jaci Guigon ◽  
Gerson Cunha ◽  
Luiz Landau
Keyword(s):  
Temperature Field ◽  
Analytical Solution ◽  
Transient Temperature ◽  
Transient Temperature Field

Three-dimensional transient temperature field model for laser annealing

2005 ◽  
Vol 97 (3) ◽  
pp. 033520 ◽  
Author(s):  
Jean-Yves Degorce ◽  
Jean-Numa Gillet ◽  
François Magny ◽  
Michel Meunier
Keyword(s):  
Temperature Field ◽  
Laser Annealing ◽  
Field Model ◽  
Three Dimensional ◽  
Transient Temperature ◽  
Transient Temperature Field ◽  
Temperature Field Model

Modeling of the Temperature Field during Electron Beam Welding of Aluminum Alloy by a Pre-Defined Keyhole

2007 ◽  
Vol 353-358 ◽  
pp. 2011-2014
Author(s):  
Yan Hong Tian ◽  
Chun Qing Wang ◽  
Dan Yang Zhu
Keyword(s):  
Temperature Field ◽  
Electron Beam ◽  
Heat Source ◽  
Electron Beam Welding ◽  
Three Dimensional ◽  
Source Model ◽  
Transient Temperature ◽  
Al Alloy ◽  
Welding Pool ◽  
Welding Line

The transient temperature field of Al alloy during electron beam welding (EBW) process was simulated using a three-dimensional finite element method. Different from the most previous models which were based on the assumption that the welding pool was solid and neglected the existence of keyhole by meshing the solid as a whole, a dynamic three-dimensional keyhole was applied in this model. The profile of the keyhole was ellipse and its size was determined before simulation based on the results of experiments. Following the heat source, the pre-defined keyhole moved along the welding line. A three-dimensional complex heat source model, including a modified Gaussian distribution source and a uniform source, was used in this study. The result shows that the shape of the keyhole had a direct effect on the temperature distribution and contribution to the special shape of the welding pool in EBW.

scholarly journals Research on Model Slice and Forming Method of Thin-walled Parts

2021 ◽  
Vol 233 ◽  
pp. 04046
Author(s):  
Changhao Zhang ◽  
Hu Li ◽  
Jianyu Yang ◽  
Huawei Lu ◽  
Peng Su
Keyword(s):  
Numerical Simulation ◽  
Temperature Field ◽  
Structural Characteristics ◽  
Three Dimensional ◽  
Simulation Method ◽  
Processing Parameters ◽  
Transient Temperature ◽  
Transient Temperature Field ◽  
Thin Walled ◽  
Experimental Processing

According to the structural characteristics of thin-walled parts, a model slicing method is proposed, and its mathematical process is established. The three-dimensional transient temperature field in the process of synchronous powder feeding laser cladding is studied and verified by numerical simulation method, and the thin-walled parts formed by later experimental processing are processed by the results of numerical simulation. Using the simulation results of temperature field as the basis for optimizing the processing parameters, the forming path of thin-walled parts is programmed and optimized, and the experimental verification shows the reliability of this method.

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