Energy Education Science and Technology Part A: Energy Science and Research
2014 Volume (issues) 32(4): 2301-2306
Comparison of three turbulence models for simulation of melt flow and heat
transfer in the LEC crystal growth of GaAs
Shuxian Chen1,3,*, Gang Xu1, Xiangchuan Guo2, Yong Zhang2, Xiaoming Tan3
1Civil Aviation Flight University of China, Aviation Engineering Institute, Guanghan 618307, China;
2 Civil Aviation Flight University of China, Xinjin Flight College, Chengdu 611431, China;
3Nanjing University of Aeronautics and Astronautics, Jiangsu Province Key Laboratory of Aerospace Power Syste， Nanjing 210016, China.
Received: 07 Febuary 2014; accepted: 10 April 2014
A time-dependent and three-dimensional numerical simulation of the turbulent flow and heat transfer in the LEC GaAs melt is performed, and three turbulence models are tested for this simulation. The results show that the standard k-ε model using wall functions overestimates the turbulent viscosity for the natural convection and also for the mixed convection driven by the buoyancy, Marangoni force and rotation, and fails to predict the non-axisymmetric flow structures and the temperature fluctuations in the melt. It has been shown that both the standard k-ε model using wall functions and the Spalart–Allmaras one equation model can not predict properly the turbulent motion induced by the crystal and crucible rotation though the Spalart–Allmaras one equation model is capable of providing reliable information on averaged melt flow structure characteristics. A quantitative agreement between the computed values by the low-Reynolds number k-ε model proposed by Jones and Launder and available experimental observations exhibits it’s capability in describing the turbulent flow and heat transfer characteristics.
Keywords: Turbulence models; Convection; Heat transfer; Liquid encapsulated Czochralski method; GaAs