Dendrite Primary Spacing Selection Simulation by the Cellular Automaton Model

Acta Metall Sin

2008, Vol. 44

Issue (9): 1042-1050 DOI:

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Dendrite Primary Spacing Selection Simulation by the Cellular Automaton Model

[中]单博炜 [英]SHAN Bo-Wei;Weidong Huang;Xin Lin;

西北工业大学凝固技术国家重点实验室

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SHAN Bo-Wei; Weidong Huang; Xin Lin. Dendrite Primary Spacing Selection Simulation by the Cellular Automaton Model. Acta Metall Sin, 2008, 44(9): 1042-1050 .

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Abstract A cellular automaton model was developed to simulate the primary spacing selection of dendritic array during directional solidification. A simplified growth kinetics was adopted, which could relax the computing complexity, and a strict method to determine the stable state of the system was proposed. Based on two type of primary spacing adjustment mechanisms in the simulation: branching-instability and submerging-instability, in order to determine the allowable range of primary spacing of dendritic arrays for given growth conditions, two different methods of tests were adopted, in one way the seeds number was fixed with a step-varying pulling velocity, and in another way the pulling velocity was constant with different seeds number. The simulated results showed that the allowable range is independent from test methods. The upper limit， λmax，and the lower limit， λmin， of the allowable range as the function of pulling velocity, V, can be generally expressed as the power function of the pulling velocity. During the simulation of the SCN-2.5%ethanol dendrite growth, the parameter of the power function were in good agreement with Huang’s experiments. The simulated lower limit was also in good agreement with Hunt-Lu model.

Key words: cellular automaton dendrite primary spacing

Received: 21 December 2007

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