Improved treatment of inertia and non-Markovian effects on short-time dynamics of diffusion-controlled reaction based on generalized diffusion equation

1997 ◽  
Vol 106 (24) ◽  
pp. 10113-10122 ◽  
Author(s):  
Kazuyasu Ibuki ◽  
Masakatsu Ueno
Keyword(s):  
Diffusion Equation ◽  
Time Dynamics ◽  
Diffusion Controlled ◽  
Short Time ◽  
Diffusion Controlled Reaction

scholarly journals The Energy-Efficient Processing of Fine Materials by the Micropyretic Synthesis Route

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
H. P. Li
Keyword(s):  
Energy Efficient ◽  
Processing Time ◽  
Combustion Temperature ◽  
Processing Parameters ◽  
The Novel ◽  
Diffusion Controlled ◽  
Efficient Processing ◽  
The One ◽  
Processing Techniques ◽  
Diffusion Controlled Reaction

Energy-efficient processing of TiB compound with nanowhiskers by micropyretic synthesis is investigated in this paper. Micropyretic synthesis not only offers shorter processing time but also excludes the requirement for high-temperature sintering and it is considered as the one of the novel energy-saving processing techniques. Experimental study and numerical simulation are both carried out to investigate the correlation of the processing parameters on the microstructures of the micropyretically synthesized products. The diffusion-controlled reaction mechanism is proposed in this study. It is noted that nanosize TiB whiskers only occurred when the combustion temperature is lower than the melting point of TiB but higher than the extinguished temperature. The results generated in the numerical calculation can be used as a helpful reference to select the proper route of processing nanosize materials. The Arrhenius-type plot of size and temperature is used to calculate the activation energy of TiB reaction. In addition to verifying the accuracy of the experimental measures, the reaction temperature for producing the micropyretically synthesized products with nanofeatures can be predicted.

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