Analysis of phase-boundary motion in diffusion-controlled processes: Part I. Solution of the diffusion equation with a moving boundary

AIChE Journal ◽  
1965 ◽  
Vol 11 (1) ◽  
pp. 133-137 ◽  
Author(s):  
J. R. Griffin ◽  
D. R. Coughanowr
2010 ◽  
Vol 7 ◽  
pp. 182-190
Author(s):  
I.Sh. Nasibullayev ◽  
E.Sh. Nasibullaeva

In this paper the investigation of the axisymmetric flow of a liquid with a boundary perpendicular to the flow is considered. Analytical equations are derived for the radial and axial velocity and pressure components of fluid flow in a pipe of finite length with a movable right boundary, and boundary conditions on the moving boundary are also defined. A numerical solution of the problem on a finite-difference grid by the iterative Newton-Raphson method for various velocities of the boundary motion is obtained.


2001 ◽  
Vol 65 (1) ◽  
Author(s):  
Wen-Hong Wang ◽  
Jing-Lang Chen ◽  
Zhu-hong Liu ◽  
Guang-Heng Wu ◽  
Wen-Shan Zhan

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