dimensional diffusion
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Bernoulli ◽  
2022 ◽  
Vol 28 (1) ◽  
Author(s):  
Michel Bonnefont ◽  
Aldéric Joulin

2021 ◽  
Vol 2021 (4) ◽  
pp. 47-56
Author(s):  
Vladimir V. GRACHEV ◽  
◽  
Aleksandr V. GRISHCHENKO ◽  
Marina A. SCHREIBER ◽  
◽  
...  

Objective: To develop a method for assessing the degree of moisture absorption by the traction electric motor (TEM) insulation. Methods: Based on the analysis of one-dimensional diffusion of liquid into the insulating material of the TEM windings, it has been shown that cracks increase its saturation with liquid. The proposed analytical solution for anisotropic diffusion of liquid into a cracked insulating material has been investigated. Results: An analytical model has been developed that describes the ideal moisture absorption according to the Fick's law, and it has been shown that it is suitable for calculating the diffusion of moisture into the insulating materials of the TEM windings. Practical importance: Further research should be aimed at obtaining material properties in a moisture-controlled environment


Author(s):  
Jing Wang ◽  
Chunyang Wang ◽  
Lidong Xiao ◽  
Haijun Ma ◽  
Panpan Zhang ◽  
...  

Nano Letters ◽  
2021 ◽  
Author(s):  
Tobias Preis ◽  
Sasha Vrbica ◽  
Jonathan Eroms ◽  
Jascha Repp ◽  
Jan M. van Ruitenbeek

Author(s):  
Wasif Almady

Abstract: In this paper, we have presented the analytical solution of the collision operator for the Boltzmann equation of onedimensional diffusion equation using the analytical solution of the one-dimensional Navier Stoke diffusion equation. Keywords: Boltzmann equation; analytical collision operator; one-dimensional diffusion equation.


Polymers ◽  
2021 ◽  
Vol 13 (15) ◽  
pp. 2504
Author(s):  
Hamayoun Mahmood ◽  
Ahmad Shakeel ◽  
Ammar Abdullah ◽  
Muhammad Khan ◽  
Muhammad Moniruzzaman

The thermal kinetic modeling is crucial for development of sustainable processes where lignocellulosic fuels are a part of chemical system and their thermal degradation eventuates. In this paper, thermal decomposition of three lignocellulosic materials (bagasse, rice husk, and wheat straw) was obtained by the thermogravimetric (TG) technique and kinetics was analyzed by both model-fitting and isoconversional (model-free) methods to compare their effectiveness. Two models selected from each class include Arrhenius and Coats–Redfern (model-fitting), and Kissinger–Akahira–Sunose (KAS) and Flynn–Wall–Ozawa (FWO) (model-free). The formal model-fitting approach simulating the thermal decomposition of solids by assuming a fixed mechanism was found to be unduly facile. However, activation energy (E) values calculated from two model-fitting techniques were considerably different from each other with a percentage difference in the range of 1.36% to 7.65%. Particularly, both model-fitting methods predicted different reaction mechanism for thermal disintegration of lignocellulosic materials (two-dimensional diffusion (D2) by Arrhenius and one-dimensional diffusion (D1) by Coat–Redfern method). Conversely, the model-free routine offers a transformation of mechanism and activation energy values throughout reaction and is, therefore, more authentic to illustrate the complexity of thermal disintegration of lignocellulosic particles. Based on the model-free kinetic analysis, the lignocellulosic materials may be devised in following order of activation energy: rice husk > bagasse > wheat straw, by both KAS and FWO methods with a percentage difference no more than 0.84% for fractional conversion up to 0.7. Isoconversional approach could be recommended as more realistic and precise for modeling non-isothermal kinetics of lignocellulosic residues compared to model-fitting approach.


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