Simulations of solute concentration profile and mass transfer behavior near the membrane surface with finite volume method

2010 ◽  
Vol 355 (1-2) ◽  
pp. 18-27 ◽  
Author(s):  
Weidong Zhang ◽  
Jiang Li ◽  
Geng Chen ◽  
Wei You ◽  
Zhongqi Ren
2011 ◽  
Vol 110-116 ◽  
pp. 4315-4323
Author(s):  
S. Torfi ◽  
S.M. Hosseini Nejad

In this paper, a numerical model is developed to simulate single droplet heat and mass transfer in a two-pieces solution with a saturated solvent vapor environment. Finite volume method and transient SIMPLEC algorithm in spherical coordinates system used for simulation. For simulation of the mass transfer, dimensionless equations of motion, heat transfer and mass transfer (based on mass ratio) are solved simultaneously. All the thermodynamic and transitional solution properties have been considered as a function of temperature and concentration. Verification of method is done by compare these numerical results with analytical and numerical analysis of other studies. Evaporation, absorption and condensation contours in a water droplet at uniform temperature at superheated water vapor and Distribution of Droplet's Surface Temperature, Constant Temperature and concentration lines as the modeling results are presented. The results are shown that 0.5% increase of concentration of droplet cause increase 8 degree C of mean temperature of droplet.


2019 ◽  
Vol 23 (Suppl. 6) ◽  
pp. 1917-1927
Author(s):  
Atousa Ataieyan ◽  
Seyed Ayyoubzadeh ◽  
Abdolreza Nabavi ◽  
Salvador Gomez-Lopera ◽  
Gennaro Sepede

In this study, network simulation method is applied to solve a 1-D solute transfer problem governed by transient storage model in a mountain stream including dead zones. In this computational method, for each node of the discretized domain, the terms of governing equation are substituted by the equivalent electrical devices which are connected to each other based on Kirchhoff?s current law. Finally, the total electric circuit is solved using an appropriate electrical code to obtain the unknown value at the nodes. Because no analytical solutions for this model have been presented so far, to verify network simulation method, the problem is solved by finite volume method, as well. According to the results, estimations made by network simulation method and finite volume method are in good agreement. Further, network simulation method is easier in implementation, especially in implementation of boundary conditions, and faster than finite volume method in computation. Therefore, in the case of 1-D mass transfer problems with a set of coupled equations, network simulation method is recommended to be used as an efficient alternative to numerical methods.


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