scholarly journals Application of forward five point central difference method in the temperature field model of laser processing silicon wafer

2018 ◽  
Vol 1087 ◽  
pp. 022002
Author(s):  
Bao Jiading ◽  
Liu Qingyuan ◽  
Zhou Jia ◽  
Huang Yuxing ◽  
Long Yuhong
2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Bing Wei ◽  
Le Cao ◽  
Fei Wang ◽  
Qian Yang

According to the characteristics of the polarizability in frequency domain of three common models of dispersive media, the relation between the polarization vector and electric field intensity is converted into a time domain differential equation of second order with the polarization vector by using the conversion from frequency to time domain. Newmarkβγdifference method is employed to solve this equation. The electric field intensity to polarizability recursion is derived, and the electric flux to electric field intensity recursion is obtained by constitutive relation. Then FDTD iterative computation in time domain of electric and magnetic field components in dispersive medium is completed. By analyzing the solution stability of the above differential equation using central difference method, it is proved that this method has more advantages in the selection of time step. Theoretical analyses and numerical results demonstrate that this method is a general algorithm and it has advantages of higher accuracy and stability over the algorithms based on central difference method.


Author(s):  
Qi Zhang ◽  
Zengliang Li ◽  
Xiangwei Dong ◽  
Yanxin Liu ◽  
Ran Yu

Abstract The reliability of submersible motor is the key to determining the stability of the middle and deep sea exploration and development equipment. In this paper, in view of different equivalent modes of convective heat transfer of housing surface, two temperature field models are established in the finite volume method (FVM). The unidirectional and bidirectional coupling mode between loss and temperature of motor are analyzed, and the temperature calculation results are compared when the oil friction loss and copper loss are constant and variable. Then, the bidirectional coupling mode between radiator temperature field and cooling system internal flow field is determined based on the structural parameters of radiator and cooling circulation impeller. The circulation flow is simulated and the influence of different loss unidirectional coupling modes on the temperature field is compared. Finally, the cooling system design procedure is proposed to obtain the matching relationship of the same cooling system structure parameters of the two temperature field models. Experimental validation is presented, and a more reasonable temperature field model is obtained under the coupling mode proposed. It provides the necessary theoretical basis for the research on the submersible motor cooling system.


2019 ◽  
Vol 9 (8) ◽  
pp. 1698 ◽  
Author(s):  
Du ◽  
Yue ◽  
Liu ◽  
Liang ◽  
Wang ◽  
...  

Modelling methods for the transient temperature field of wear land on the flank of end mills have been proposed to address the challenges of inaccurate prediction in the temperature field of end mills during the high-speed peripheral milling of Ti6Al4V that is a titanium alloy. A transient temperature rise model of wear land on the flank of end mills was constructed under the influence of heat sources in the primary shearing zone (PSZ), rake-chip zone (RCZ), flank-workpiece zone (FWZ), and dissipating heat source. Then the transient temperature field model of wear land on the flank of end mills was constructed. Finally, the transient temperature field model of wear land on the flank of end mills was constructed. Comparison of simulation result and experimental data verified the accuracy of the model. In sum, the proposed model may provide a temperature model support for future studies of flank wear rate in end mill modeling.


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