Cellular Automaton Approach on Micro Solidification Process of Two Phase Alloy in Horizontal Casting

2000 ◽  
Author(s):  
Toshio Tsuta ◽  
Takeshi Iwamoto
Keyword(s):  
Mathematical Model ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Liquid Metal ◽  
Continuous Casting ◽  
Cellular Automaton ◽  
Solidification Process ◽  
Two Phase ◽  
Grain Growth Kinetics ◽  
Micro Morphology

Abstract A mathematical model of micro morphology generation in solidification process has been developed using cellular automaton approach, and heterogeneous nucleations from the wall and the grain growth kinetics are simulated by using the Monte-Carlo simulation. In the next place, the change in the micro morphology from the dendritic to the equiaxial, has been analyzed in the same way, under the condition that the liquid metal in the vessel is excited from magnetic stirrer. The results are compared with those obtained by the experiments on horizontal, continuous casting and the applicability of the method has been verified.

Analysis on Motion Precision Reliability of Hydraulic Support

2011 ◽  
Vol 48-49 ◽  
pp. 224-227
Author(s):  
Dong Chen Qin ◽  
Qiang Zhu ◽  
Hong Xia Wu ◽  
Zhe Feng Guo
Keyword(s):  
Mathematical Model ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Theoretical Calculation ◽  
Calculation Method ◽  
Effective Length ◽  
Future Research ◽  
Hydraulic Support ◽  
Continuous Contact ◽  
Continuous Contact Model

In order to research the motion precision reliability of hydraulic support when the influence of the bar length error and gap error is considered, the motion trace mathematical model for the top beam of hydraulic support is established, with the calculation method of motion precision reliability and the effective length of bar based on continuous contact model. Taking some type of hydraulic support as an example, its motion precision reliability is calculated and analyzed. The Monte Carlo simulation is also used to verify the model, and the T-R curve of the gap error and the reliability is plotted. The results from simulation accord with those from the theoretical calculation, which verifies the model established and can provide some valuable reference for the related future research.

Optimal Design of Dynamic Secondary Cooling of Continuous Casting

2012 ◽  
Vol 472-475 ◽  
pp. 1907-1910
Author(s):  
Yi Wang ◽  
Xin Jian Ma
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Finite Element ◽  
Continuous Casting ◽  
Cooling System ◽  
Solidification Process ◽  
Element Model ◽  
Secondary Cooling ◽  
The Mathematical Model ◽  
The Finite Element Model

Numerical simulation of the secondary cooling is applied to the design of continuous casting. The mathematical model for solidification process of the strand under air-mist was established and calculated with the finite element model. The model is used to calculate the feasible operating range of the continuous casting machines. The dynamic secondary cooling system has been analyzed with consideration of the thermo mechanical principles and numerical model. The adequacy of the model has been confirmed with experimental results.

Nonmagnetic B-site substitution induced two-phase coexistence in multiferroic manganites: Monte Carlo simulation

2011 ◽  
Vol 109 (11) ◽  
pp. 113909 ◽  
Author(s):  
Y. M. Tao ◽  
M. H. Qin ◽  
S. Dong ◽  
X. S. Gao ◽  
J.-M. Liu
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Phase Coexistence ◽  
Two Phase

scholarly journals Two-Phase Monte Carlo Simulation for Partitioning the Effects of Epistemic and Aleatory Uncertainty in TMDL Modeling

2019 ◽  
Vol 24 (1) ◽  
pp. 04018058 ◽  
Author(s):  
Anurag Mishra ◽  
Ebrahim Ahmadisharaf ◽  
Brian L. Benham ◽  
Daniel L. Gallagher ◽  
Kenneth H. Reckhow ◽  
...  
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Aleatory Uncertainty ◽  
Two Phase

A Mathematical Model for Tire/Wheel Assembly Balance

1993 ◽  
Vol 21 (4) ◽  
pp. 220-231
Author(s):  
E. J. Ni
Keyword(s):  
Mathematical Model ◽  
Monte Carlo Simulation ◽  
Finite Element ◽  
Monte Carlo ◽  
Monte Carlo Model ◽  
Element Model ◽  
Equation Of Motion ◽  
Rigid Body Dynamics ◽  
Production Distribution ◽  
Body Dynamics

Abstract A mathematical model is developed to calculate the weight required on a tire/wheel assembly to balance wheel nonuniformity effects such as the lateral runout. A finite element model of a tire mounted on a rigid wheel is used to simulate the free spinning about a skewed axis. The result showed that Euler's equation of motion in rigid body dynamics can be used to calculate the imbalance caused by wheel lateral runout. This equation is then used in a Monte Carlo model to simulate a production distribution. The model can be used to define tire and wheel specification limits, and to predict the number of assemblies that will have unacceptable imbalances. The verification of the model and results of the Monte Carlo simulation are presented.

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