
[Sponsors] 
November 6, 2012, 05:53 
Mass transfer in cfd

#1 
Senior Member
Join Date: May 2012
Posts: 166
Rep Power: 7 
Hey,
I wonder if we usually ignore the mass convection caused by mass diffusion (i.g. by assuming dilute mixture and/or equimolar counterdiffusion) when writing codes? My second question is if there is any dimensionless number that relates convection caused by pressure differences to the convection caused by diffusion of species? 

November 6, 2012, 06:36 

#2 
Senior Member
Join Date: Dec 2011
Location: Madrid, Spain
Posts: 134
Rep Power: 8 
Hi, as far as I know total mass transport must be accounted for in a multispecies formulation (by using for instance a correction velocity, to be added to the velocity vector). This is not needed when transporting a scalar (or a highly diluted mixture).
As for the second question the answer is the Peclet number, which quantifies the importance of advection to diffusion. Did this help? Maybe some other people can give their opinion. Cheers, Michujo. 

November 6, 2012, 07:58 

#3  
Senior Member
Join Date: May 2012
Posts: 166
Rep Power: 7 
Quote:
I am not certain that Pe number is the correct one to use here (it is certainly correct to use when we discuss heat or momentum transfer, but I have some doubts with regard to the mass transfer). I am probably wrong though and will understand soon (I hope ) 

November 6, 2012, 08:31 

#4 
Senior Member
Join Date: Dec 2011
Location: Madrid, Spain
Posts: 134
Rep Power: 8 
Hi, you are welcome. Off the top of my head I can think of the books by T.Poinsot and D. Veynante "Theoretical and numerical combustion" or the one by Bird "Transport phenomena" (I think the approximation is usually referred to as HirschfelderCurtiss approximation).
Cheers, Michujo. 

November 6, 2012, 14:02 

#5 
Senior Member
Join Date: Dec 2011
Location: Madrid, Spain
Posts: 134
Rep Power: 8 
Hi, I have been thinking about your question.
1) As stated before (as far as I know), in order to enforce mass conservation, either you apply the correction velocity or you store the error in the main species (usually nitrogen if you are working with a species diffusing in air). 2) You are right, I misunderstood your question. You refer to the relation between the convection due to pressure difference and the net velocity that appears as a result of two nonequimolar species diffusing in each other, right? I suggest you check out this link: http://books.google.es/books?id=CjBT...fusion&f=false If this is not clear enough, it is most likely dealt with in the book by Bird et al. Probably you can work out a nondimensional number relating the bulk velocity with the induced velocity (probably proportional to a diffusion coefficient, or the difference in molar weight of the species, since this is the driving force as far as I understand). What do you think? I am also interested in knowing more about this stuff. Let me know if you come up with a conclusion. Cheers, Michujo. 

November 6, 2012, 15:18 

#6  
Senior Member
Join Date: May 2012
Posts: 166
Rep Power: 7 
Quote:
2) I will check the link you provided, and I will try to dig a bit deeper in the book by B.S.L. If I come to a conclusion I will let you know Thanks! 

November 9, 2012, 08:39 

#7 
Senior Member
Join Date: May 2012
Posts: 166
Rep Power: 7 
After some more reading I found that in Cussler's "Diffusion  Mass transfer in fluid systems", they derive the continuity equation using mass averaged velocities and for the continuity equation of species they use volume averaged velocities.
In Themelis' "Transport and Chemical Rate Phenomena" they state that: Velocities appearing in the species transport equation consists of two parts; 1. Velocity due to diffusion. 2. Velocity due to pressure differences. In Bird et. Al I can not find any mention of how the diffusion velocity is coupled to the momentum equation although a comprehensive list of different frames of reference is given. Any thoughts? 

Thread Tools  
Display Modes  


Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Error message: Insufficient Catalogue Size  Paresh Jain  CFX  31  June 7, 2016 21:31 
CFD Design...The CFD Future  John C. Chien  Main CFD Forum  20  November 20, 2015 00:40 
How to get mass transfer coefficient in FLuent?  bigfans  FLUENT  4  May 9, 2009 20:03 
additional variable mass transfer in CFX5.6  john  CFX  1  February 14, 2004 01:30 
Which is better to develop inhouse CFD code or to buy a available CFD package.  Tareq Alshaalan  Main CFD Forum  10  June 12, 1999 23:27 