scholarly journals Research on the Numerical Model of Solvent Diffusion Based on Fick’s Law and Free Volume Theory

2021 ◽  
Vol 1798 (1) ◽  
pp. 012019
Author(s):  
Haibo Xu ◽  
Peixuan Li ◽  
Litao Wen ◽  
Zewei Wang
Keyword(s):  
Numerical Model ◽  
Free Volume ◽  
Fick’S Law ◽  
Free Volume Theory ◽  
Fick's Law ◽  
Solvent Diffusion

scholarly journals On a numerical model for diffusion-controlled growth and dissolution of spherical precipitates

1998 ◽  
Vol 4 (2) ◽  
pp. 115-133 ◽  
Author(s):  
R. Van Keer ◽  
J. Kacur
Keyword(s):  
Numerical Model ◽  
Fick’S Law ◽  
Fick's Law ◽  
Diffusion Limited ◽  
Diffusion Controlled ◽  
The Matrix ◽  
Space Discretization ◽  
Element Technique ◽  
Domain Transformation ◽  
Kinetics Of

This paper deals with a numerical model for the kinetics of some diffusion-limited phase transformations. For the growth and dissolution processes in 3D we consider a single spherical precipitate at a constant and uniform concentration, centered in afinitespherical cell of a matrix, at the boundary of which there is no mass transfer, see also Asthana and Pabi [1] and Caers [2].The governing equations are the diffusion equation (2nd Fick's law) for the concentration of dissolved element in the matrix, with a known value at the precipitate-matrix interface, and the flux balans (1st Fick's law) at this interface. The numerical method, outlined for this free boundary value problem (FBP), is based upon a fixed domain transformation and a suitably adapted nonconforming finite element technique for the space discretization. The algorithm can be implemented on a PC. By numerous experiments the method is shown to give accurate numerical results.

Parameters of the free volume theory in glasses with trigonal local coordination

2001 ◽  
Vol 10 (0) ◽  
pp. 147-151
Author(s):  
Т. М. Мельниченко ◽  
Т. Д. Мельниченко ◽  
Я. Я. Коцак ◽  
Я. П. Куценко ◽  
П. П. Пуга
Keyword(s):  
Free Volume ◽  
Free Volume Theory ◽  
Local Coordination

Development of a Method for the Prediction of Pressure-Viscosity Coefficients of Lubricating Oils Based on Free-Volume Theory

1989 ◽  
Vol 111 (1) ◽  
pp. 121-128 ◽  
Author(s):  
C. S. Wu ◽  
E. E. Klaus ◽  
J. L. Duda
Keyword(s):  
Free Volume ◽  
Good Accuracy ◽  
Temperature Relationship ◽  
Free Volume Theory ◽  
Simple Method ◽  
Lubricating Oils ◽  
Viscosity Coefficients ◽  
Data Points

A simple method based on free-volume theory to predict the pressure-viscosity coefficients of liquid lubricants has been developed. The method only requires the viscosity-temperature relationship and the viscosity at the temperature of interest. The method provides good accuracy when it was tested for 162 data points for various fluid types over wide ranges of temperature and viscosity.

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