Numerical analysis of thermal-slip and diffusion-slip flows of a binary mixture of hard-sphere molecular gases

2003 ◽  
Vol 15 (12) ◽  
pp. 3745-3766 ◽  
Author(s):  
Shigeru Takata ◽  
Shugo Yasuda ◽  
Shingo Kosuge ◽  
Kazuo Aoki
2004 ◽  
Vol 16 (6) ◽  
pp. 1989-2003 ◽  
Author(s):  
Shugo Yasuda ◽  
Shigeru Takata ◽  
Kazuo Aoki

2006 ◽  
Vol 125 (20) ◽  
pp. 204505 ◽  
Author(s):  
Swaroop Chatterjee ◽  
Pablo G. Debenedetti ◽  
Frank H. Stillinger

Nature ◽  
1993 ◽  
Vol 365 (6441) ◽  
pp. 35-37 ◽  
Author(s):  
M. D. Eldridge ◽  
P. A. Madden ◽  
D. Frenkel
Keyword(s):  

1998 ◽  
Vol 251 (1-2) ◽  
pp. 251-265 ◽  
Author(s):  
E.G.D. Cohen ◽  
R. Verberg ◽  
I.M.de Schepper

Soil Research ◽  
1967 ◽  
Vol 5 (2) ◽  
pp. 149 ◽  
Author(s):  
JB Passioura ◽  
MH Frere

A numerical method is given for solving a partial differential equation describing the radial movement of solutes through a porous medium to a root. Computer programmes based on the method were prepared and used to obtain solutions of the equation for an idealized root-soil system in which a solute is transported to the root by convection but is not taken up by the root. Various patterns of water uptake were considered, the most complex being a diurnally varying uptake from soil in which the water content is decreasing. The solutions suggest that the maximum build-up of solute at the surface of a root is trivial if the root is growing in a medium such as agar, in which the diffusion coefficient of the solute is high, but may be considerable, with a concentration up to 10 times higher than the average concentration in the soil solution, when the root is growing in a fairly dry soil. The application of the method to systems other than the one considered in detail is discussed.


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