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June 12, 2009, 11:54 
Inertial and viscous coefficient for porous media

#1 
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Franz Roman
Join Date: Jun 2009
Posts: 25
Rep Power: 9 
Hi,
Does somebody know if the C2 and 1/alpha coefficients for the porous media model MUST be positive values? I have found these coefficients using one of the methods described in the Users Guide (Deriving the porous coefficients based on experimental pressure and velocity data) and the C2 coefficient turns to be negative because the quadratic term of the regression equation is negative. In the Users Guide itself, in the example of this method, they get 1/alpha to be negative (242282). So, does anybody knows if that actually matters? Since FLUENT does not know that my quadratic term was negative so that with the negative sign of my C2 the value turns positive, I dont know what FLUENT will make with that. Some help anybody? Franz 

June 12, 2009, 14:16 

#2 
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Andrew
Join Date: Mar 2009
Location: Washington, DC
Posts: 195
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my permeability and inertia coefficients were both positive I found mine from actual laboratory data tho. I am pretty sure I followed a method described in a paper by Boosma to get the coefficients. Also, there are a lot of papers dealing with research of heat transfer in porous media, and most have values for the permeability and inertia. K, permeability, cannot be negative due to the square root of the value. I can't remember which one is which in Fluent  sorry


June 12, 2009, 15:36 

#3 
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Aroon
Join Date: Apr 2009
Location: Racine WI
Posts: 148
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I have faced similar problems in the past. However as Mettler mentions these values have to be positive (physically negative values do not make sense). So the common approach we follow to get positive coefficients is to modify the data points obtained from the lab data that represent the low velocities, within the experimental tolerence limit.
We choose the low velocity points because generally these are the ones that result in the negative values (numerically they affect the xintercept). 

June 13, 2009, 06:27 

#4 
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Franz Roman
Join Date: Jun 2009
Posts: 25
Rep Power: 9 
yes, I understand that these coefficients should be theoretically positive. However, since these values are empirical, would not be possible that when the regression gives a negative coefficient, then when FLUENT uses them the positive coefficient compensates for the negative one and at the end one has a good result? I guess if I knew how FLUENT works with these values then I could tell, but I dont know that much. Somebody?
Thanks 

August 12, 2011, 22:07 
porous media model

#5 
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Subhasish Mitra
Join Date: Oct 2009
Location: Australia
Posts: 56
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FLUENT uses a DarcyForchhimer type equation which has a viscous term and an inertial term. The equation looks like
Delta P = E1*Re/Ga + E2*Re&\^2/Ga where E1 & E2 are Ergun constants  150 & 1.75 or 180 & 1.8 and many other different combinations are possible depending on system and porous medium. Re = Reynolds number, Ga = Galileo number In simpler form, the equation can be written as or Delta P = v/alpha + 0.5*C*v*v (v = velocity, 1/alpha = viscous resistance, C= inertial resistance) Hope it helps
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September 14, 2013, 06:13 
inertial and viscous coefficients for porous media

#6 
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Anonymous
Join Date: Jun 2013
Posts: 9
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hello guys ,
I have trouble finding the alpha and beta values for modelling plasma (blood ) flow through a porous media which acts as the filter. All i have is the porosoity report and material properties. Is it possible to calculate the inertial and viscous coefficients ? 

September 15, 2013, 23:33 

#7 
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Andrew
Join Date: Mar 2009
Location: Washington, DC
Posts: 195
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The only was I was able to get the two coefficients was run a physical experiment and measure the pressure drop thru the various porous media I was studying. After knowing the pressure drop you can back calculate the two coefficients.
good luck 

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