Mathematical modeling of the flow field, temperature distribution, melting and solidification in the electroslag remelting process

2009 ◽  
Vol 45 (4) ◽  
pp. 527-533 ◽  
Author(s):  
A. Rückert ◽  
◽  
H. Pfeifer ◽  
Keyword(s):  
Mathematical Modeling ◽  
Temperature Distribution ◽  
Flow Field ◽  
Electroslag Remelting ◽  
Field Temperature ◽  
Melting And Solidification

Advanced Modeling of the Dynamics of Vanadium Redox Flow Batteries

2015 ◽  
Author(s):  
Yun Wang ◽  
Sung Chan Cho
Keyword(s):  
Experimental Data ◽  
Temperature Distribution ◽  
Flow Field ◽  
Electrochemical Reaction ◽  
Redox Flow Batteries ◽  
Field Temperature ◽  
Flow Batteries ◽  
Numerical Tool ◽  
And Control ◽  
Vanadium Redox

In this paper, a multi-dimensional dynamic model of vanadium Redox Flow Batteries (RFB) is employed to predict battery performance and internal operating condition during charge and discharge. The model consists of a set of partial differential equations of mass, momentum, species, charges, and energy conservation, in conjunction with the electrode’s electrochemical reaction kinetics. After validated against experimental data for a vanadium RFB, flow field, temperature distribution, and reactant evolution are presented. The developed numerical tool is extremely useful in optimizing RFB design and control.

scholarly journals Simulation of Diffusion Processes in Chemical and Thermal Processing of Machine Parts

Processes ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 698
Author(s):  
Kateryna Kostyk ◽  
Michal Hatala ◽  
Viktoriia Kostyk ◽  
Vitalii Ivanov ◽  
Ivan Pavlenko ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Temperature Distribution ◽  
Thermal Treatment ◽  
Diffusion Processes ◽  
Nitrogen Concentration ◽  
The Body ◽  
Functional Dependencies ◽  
Technological Parameters ◽  
Gas Nitriding ◽  
Temperature State

To solve a number of technological issues, it is advisable to use mathematical modeling, which will allow us to obtain the dependences of the influence of the technological parameters of chemical and thermal treatment processes on forming the depth of the diffusion layers of steels and alloys. The paper presents mathematical modeling of diffusion processes based on the existing chemical and thermal treatment of steel parts. Mathematical modeling is considered on the example of 38Cr2MoAl steel after gas nitriding. The gas nitriding technology was carried out at different temperatures for a duration of 20, 50, and 80 h in the SSHAM-12.12/7 electric furnace. When modeling the diffusion processes of surface hardening of parts in general, providing a specifically given distribution of nitrogen concentration over the diffusion layer’s depth from the product’s surface was solved. The model of the diffusion stage is used under the following assumptions: The diffusion coefficient of the saturating element primarily depends on temperature changes; the metal surface is instantly saturated to equilibrium concentrations with the saturating atmosphere; the surface layer and the entire product are heated unevenly, that is, the product temperature is a function of time and coordinates. Having satisfied the limit, initial, and boundary conditions, the temperature distribution equations over the diffusion layer’s depth were obtained. The final determination of the temperature was solved by an iterative method. Mathematical modeling allowed us to get functional dependencies for calculating the temperature distribution over the depth of the layer and studying the influence of various factors on the body’s temperature state of the body.

scholarly journals Numerical Simulation of Temperature Distribution in the Glass Fiber Epoxy Composites during Microwave Curing

2018 ◽  
Vol 206 ◽  
pp. 03001
Author(s):  
X Zhang ◽  
X L Chang ◽  
R L Ma ◽  
L Zhang ◽  
X D Chen ◽  
...  
Keyword(s):  
Temperature Distribution ◽  
Glass Fiber ◽  
Three Dimensional ◽  
Coupled Model ◽  
Curing Process ◽  
Epoxy Ring ◽  
Microwave Curing ◽  
Composite Ring ◽  
Initial Stage ◽  
Field Temperature

A three-dimensional coupled model of electromagnetic field, temperature field and curing degree field was established. Based on this model, the simulation of microwave curing process of glass fiber epoxy ring was realized, and the temperature distribution at different time was obtained. Numerical results indicate that the temperature difference within the composite ring is mainly formed in the initial stage during microwave curing.

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