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-   -   SutherlandTransport setting for air (https://www.cfd-online.com/Forums/openfoam-pre-processing/62178-sutherlandtransport-setting-air.html)

 tangd July 20, 2006 08:52

Could somebody tell me what ar

Could somebody tell me what are the values of Sutherland coefficient As and Sutherland temperature Ts for air? Thanks!

 elmorsli July 20, 2006 13:04

For viscosity: mu=1.4584E-6*p

For viscosity:
mu=1.4584E-6*pow(T,3./2.)/(T+110.33);

and for thermal conductivity:
lambda=2474.7264e-6*pow(T,3./2.)/(T+194.4)

 tangd July 26, 2006 01:21

Thanks for your reply. What are the coefficients As and Ts for N2? Is there a table including the coefficient of all gases?

 TomP July 24, 2009 05:29

Where to define the conductivity?

When using constTransport the conductivity can be calculated based on the viscosity, the heat capacity and the Prandtl number. When using sutherlandTransport there is no mention of the conductivity constant (at least not in the manual). You also give the sutherland coefficients for the conductivity, but then my question is where do I use them? Right after those of the viscosity?

Quote:
 Originally Posted by elmorsli (Post 202898) For viscosity: mu=1.4584E-6*pow(T,3./2.)/(T+110.33); and for thermal conductivity: lambda=2474.7264e-6*pow(T,3./2.)/(T+194.4)

 mohsen cheraghi October 26, 2012 04:24

I have the same question. can any one explain more?

 okroud October 30, 2012 06:05

Quote:
 Originally Posted by elmorsli (Post 202898) For viscosity: mu=1.4584E-6*pow(T,3./2.)/(T+110.33); and for thermal conductivity: lambda=2474.7264e-6*pow(T,3./2.)/(T+194.4)
I am also interested in the calculation of the thermal conductivity. Is there any more information? Which numbers in the second equation are coefficients, that I have to set in OpenFOAM? Hope anyone can help us!

 immortality December 6, 2012 08:00

I don't think conductivity coefficients to be necessary.only As and Ts are important.

 camille131 April 23, 2013 16:37

Hi,
could you tell me where I can find the sutherland coefficients As and Ts for natural gas (ie: methane). And where can I find a table of these coef. for any gas?
Thank you very much

 Daniel_P April 3, 2014 10:20

Hej everyone!

Sorry for reactivating this old post, but it is still not clear to me how the thermal conductivity is calculated by OF when using Sutherland's law.

For my calculations I use chtMultiRegionSimpleFoam (OF 2.2.x) and experimented with the transport models in thermophysicalProperties of a fluid region. The thermo model I set is heRhoThermo and the fluid is air.

When I set transport to "const", I define a constant dynamic viscosity mu and the Prandtl number Pr. The thermal conductivity k is then calculated by Pr=mu*cp/k.

In a second example I set transport to "sutherland". Now I define only the two input parameters As=1.4792e-06 and Ts=116 for Sutherland's law. Since there is no error message when starting a calculation, I guess that no other input is needed.

But how does the solver calculate the thermal conductivity then? :confused:

Thank you for any help,
Daniel

 GRAUPS July 16, 2014 15:46

Quote:
 Originally Posted by Daniel_P (Post 483698) But how does the solver calculate the thermal conductivity then? Daniel
Daniel, sorry this is a bit late, but I was just looking into this very thing today and I believe I found the answer. I'll post here in case anyone else needs the info.

The OpenFOAM sutherland viscosity model appears to use the modified Euken Model (based on kinetic theory) for the thermal conductivity calculation. I found the equation being used on line 149 of the sutherlandTransportI.H file (\$FOAM_SRC/thermophysicalModels/specie/transport/sutherland/sutherlandTransportI.H)

I identified it as the modified Euken Model based on section 1.4.7.2.2 of this doc...

http://www.arc.vt.edu/ansys_help/cfx_mod/i1299744.html

Brock

 Daniel_P July 18, 2014 06:00

Hej Brock!

I think you are right, the solver uses the modified Eucken equation in order to calculate the thermal conductivity if the Sutherland transport model is selected.
However, I am not sure how good the accuracy of this model is? From what I read, the thermal conductivity calculated from the modified Eucken equation differs up to 25% from experimental values. Anyway, the accuracy is another question. It is good to know what OpenFOAM does!

Daniel

 dappe November 3, 2015 09:38

Sorry if I'm witless :confused: but I can't understand how to get As and Ts from mu and lambda equations posted at the top of the thread! In particular in my case I'm interested in values for air.
Alessandro

 Alexee November 18, 2015 10:00

Quote:
 Originally Posted by dappe (Post 571682) Sorry if I'm witless :confused: but I can't understand how to get As and Ts from mu and lambda equations posted at the top of the thread! In particular in my case I'm interested in values for air. Thanks for your help. Alessandro
As and Ts are the constants in mu formula, namely:

As = 1.4584E-6
Ts = 110.33

 Heat80 November 23, 2015 16:12

Thermal conductivity for each species

Hi,
Does anybody know how to include thermal conductivity of individual species (not for mixture) in the Fluent results. I know how to get Cp and species gradients but still struggling with thermal conductivity.

 amin_jalalian April 10, 2016 08:00

As and Ts in methan combustion

Hi
I am working with methane-air 2-step combustion. In later versions of openfoam there was no need to file 'transportProperties' but in openfoam3.0+ there is need to that. In openfoam3.0+ tutorial in 'transportProperties' it was As and Ts. What values must I write for these parameters in methane combustion?:confused:

 ebringley September 13, 2017 13:00

Quote:
 Originally Posted by GRAUPS (Post 501814) Daniel, sorry this is a bit late, but I was just looking into this very thing today and I believe I found the answer. I'll post here in case anyone else needs the info. The OpenFOAM sutherland viscosity model appears to use the modified Euken Model (based on kinetic theory) for the thermal conductivity calculation. I found the equation being used on line 149 of the sutherlandTransportI.H file (\$FOAM_SRC/thermophysicalModels/specie/transport/sutherland/sutherlandTransportI.H) I identified it as the modified Euken Model based on section 1.4.7.2.2 of this doc... http://www.arc.vt.edu/ansys_help/cfx_mod/i1299744.html Brock
CFX Documentation:
https://www.sharcnet.ca/Software/Ans...cfx_intro.html

Specifically:
https://www.sharcnet.ca/Software/Ans.../i1299744.html

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