CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > FLUENT

Brinkman-Forchheimer equation

Register Blogs Members List Search Today's Posts Mark Forums Read

Reply
 
LinkBack Thread Tools Display Modes
Old   April 9, 2005, 17:12
Default Brinkman-Forchheimer equation
  #1
abdul
Guest
 
Posts: n/a
Dear All,

How can I model a porous medium in Fluent by using Brinkman-Forchheimer equation.

Many thanks,

Abdul
  Reply With Quote

Old   April 10, 2005, 09:50
Default Re: Brinkman-Forchheimer equation
  #2
Amir
Guest
 
Posts: n/a
If you mean equation 2.143 of Kaviany's book. What I did, I multiplied both sides of the equation with porosity factor and updated the source terms and calculated them accordingly.

Amir
  Reply With Quote

Old   April 10, 2005, 13:07
Default Re: Brinkman-Forchheimer equation
  #3
abdul
Guest
 
Posts: n/a
Dear Amir,

Could you be more specific, or can you direct me to a published on the approach you indicated.

Many Thanks,

Abdul
  Reply With Quote

Old   April 10, 2005, 13:22
Default Re: Brinkman-Forchheimer equation
  #4
Amir
Guest
 
Posts: n/a
ok, I have been working on the same subject in my thesis and I found out there are different interpretations on Brinkman-Forchheimr equations. Some researchers use an extra porosity factor in the denominator of the convection term (Neild and Bejan) and some not (Vafai and Kaviany). I personally use the work of Vafai and Kaviany. I give you a couple of publications by them at the end of this message. Take a look at them and see if you still have problem with the form of the equaitons and then I will conduct you to how implement that into FLUENT.

Amir

1. Kaviany, M., 1991, Principles of Heat Transfer in Porous Media, Springer-Verlag, New York.

2. Vafai, K. and Tien, C. L., 1980, "Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media," International Journal of Heat and Mass Transfer, 24, pp. 195-203.

  Reply With Quote

Old   April 14, 2005, 11:27
Default Re: Brinkman-Forchheimer equation
  #5
abdul
Guest
 
Posts: n/a
Yes, I still have problem with the form of the equaitons. Please, show me how to implement that into FLUENT.

Regards,

Abdul
  Reply With Quote

Old   April 16, 2005, 12:33
Default Re: Brinkman-Forchheimer equation
  #6
Amir
Guest
 
Posts: n/a
Well, if you are convinced to use the form of equation recommended by Vafai and Chen, you can easily multiply both sides of the equation by porosity factor. then the momentum equation solved by FLUENT would be as close as possible to the form of Brinkman-Forchheimer equation presented by Vafai and Kaviani. you just need to treat the source terms properly which I beleive would be as following:

C1 = mu*epsilon/K

C2 = rho*F*epsilon^2 / K^.5

in which mu = density

K = permeability

rho = density

epsilon = porosity factor

F = Forchheimer coefficient

and F = 1.75/sqrt(150*epsilon^5) based on the packed bed model

Hope it helps Amir

  Reply With Quote

Old   April 17, 2005, 16:22
Default Re: Brinkman-Forchheimer equation
  #7
abdul
Guest
 
Posts: n/a
Thank you Amir
  Reply With Quote

Old   July 2, 2010, 04:20
Default
  #8
psb
New Member
 
PSB
Join Date: Nov 2009
Posts: 5
Rep Power: 7
psb is on a distinguished road
Hi Amir,

I am having the exact same problem in modeling Vafai's equation in Fluent. Your answer is indeed very helpful.

However, I have a question: What do you do with the pressure gradient term on RHS? If we multiply that too, by porosity factor, the solution diverges. Is it good to neglect multiplication to pressure gradient term, and multiply all the other terms with porosity? Will this give huge errors?
psb is offline   Reply With Quote

Old   November 8, 2011, 22:52
Default Requests for help
  #9
New Member
 
Yongsheng Tian
Join Date: Nov 2011
Posts: 1
Rep Power: 0
Yongsheng is on a distinguished road
Quote:
Originally Posted by Amir
;119778
Well, if you are convinced to use the form of equation recommended by Vafai and Chen, you can easily multiply both sides of the equation by porosity factor. then the momentum equation solved by FLUENT would be as close as possible to the form of Brinkman-Forchheimer equation presented by Vafai and Kaviani. you just need to treat the source terms properly which I beleive would be as following:

C1 = mu*epsilon/K

C2 = rho*F*epsilon^2 / K^.5

in which mu = density

K = permeability

rho = density

epsilon = porosity factor

F = Forchheimer coefficient

and F = 1.75/sqrt(150*epsilon^5) based on the packed bed model

Hope it helps Amir
Dear Amir
I am trying to model a porous medium in Fluent by using Brinkman-Forchheimer equation. I am a Chinese students, so I have a difficulty to find that publication that you mentioned:Vafai, K. and Tien, C. L., 1980, "Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media," International Journal of Heat and Mass Transfer, 24, pp. 195-203.

So I need your help, the more specific. Thanks a lot.
Best wishes!
Yongsheng is offline   Reply With Quote

Reply

Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are On
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
Calculation of the Governing Equations Mihail CFX 7 September 7, 2014 06:27
Constant velocity of the material Sas CFX 15 July 13, 2010 08:56
Viscosity and the Energy Equation Rich Main CFD Forum 0 December 16, 2009 15:01
mass flow in is not equal to mass flow out saii CFX 2 September 18, 2009 08:07
continuity equation Rafal Main CFD Forum 4 November 29, 2006 10:27


All times are GMT -4. The time now is 14:56.