NDLI: An Axisymmetric Model for Diffusion of Nano-Particles

Content Provider	IEEE Xplore Digital Library
Author	Abouali, O. Ahmadi, G.
Copyright Year	2007
Description	Author affiliation: Dept. of Mech. Eng., Shiraz Univ. (Abouali, O.; Ahmadi, G.)
Abstract	An axisymmetric model was presented which was capable of predicting the diffusion of nano-particles with accuracy comparable to that of a 3D model. Both analytical and numerical approaches were presented. An Eulerian approach was first presented where the concentration distribution equation was solved analytically. It was shown that the mean-square radial displacements of the nano- and micro-particles are equal to 4Dt, which is twice that of one-dimensional Cartesian directions. The Langevin equation for Brownian motion of particles in radial direction was then analyzed. An axisymmetric coordinate was used and the appropriate spectral intensity for Brownian motion of the particles in radial direction was presented. Three dimensional and axisymmetric computational models for the Brownian motion of nano-particles were also described. Lagrangian particle trajectory analysis was performed assuming a one-way coupling model. The particle equation of motion used included the drag and Brownian forces. Trajectories of different size nano-particles in a uniform flow were analyzed, and the particles radial dispersions were studied. The predictions of the 3-D model for variance of the particle radial displacement were shown to be in agreement with the results of analytical solution. The results of the axisymmetric computational model was also found to be in agreement with the exact solution of diffusion equation and 3D Lagrangian simulation results provided that the appropriate spectral intensity for the radial direction be used.
Starting Page	1076
Ending Page	1080
File Size	3899982
Page Count	5
File Format	PDF
ISBN	1424406102
DOI	10.1109/NEMS.2007.352204
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-01-16
Publisher Place	Thailand
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Equations Computational modeling Predictive models Lagrangian functions Systems engineering and theory Mechanical engineering USA Councils Performance analysis Analysis of variance Numerical simulation axi-symmetric nano micro diffusion
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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