Hello, given a stream containing different hydrocarbons in a vapour phase with known molar compositions of each component, how does one go about calculating the viscosity of the mixture?
Thanks for your time
Eliot.
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Viscosity Of A Mixture Of Hydrocarbons
Started by Guest_eliot_s_*, Mar 03 2005 05:45 PM
7 replies to this topic
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#1
Guest_eliot_s_*
Posted 03 March 2005 - 05:45 PM
#2
Guest_mvancleave_*
Posted 03 March 2005 - 06:23 PM
You can find the vapor phase viscosity of various single-component hydrocarbons in a chart in Crane Technical Paper 410 (sorry, I don't currently have access to my reference materials, so I can't give you a page number, etc., but it is in one of the appendices).
Once you know or have estimated the viscosity of the single-components, you can use the Wilke method (outlined in Bird, Stewart and Lightfoot, page 24) to estimate the viscosity of the mixture.
Hope that helps!
Mike
Once you know or have estimated the viscosity of the single-components, you can use the Wilke method (outlined in Bird, Stewart and Lightfoot, page 24) to estimate the viscosity of the mixture.
Hope that helps!
Mike
#3
Posted 04 March 2005 - 12:11 AM
Eliot:
You can also find the methods to calculate the viscosity of gas or liquid mixtures in:
"The Properties of Gases and Liquids"
by Robert Reid and Thomas Sherwood
McGraw-Hill Book Company
The Wilke method is considered the best known and one of the most accurate methods for estimating the viscosity of gas mixtures.
It is reported that there is presently no reliable method for estimating the viscosity of liquid mixtures.
You can also find the methods to calculate the viscosity of gas or liquid mixtures in:
"The Properties of Gases and Liquids"
by Robert Reid and Thomas Sherwood
McGraw-Hill Book Company
The Wilke method is considered the best known and one of the most accurate methods for estimating the viscosity of gas mixtures.
It is reported that there is presently no reliable method for estimating the viscosity of liquid mixtures.
#4
Posted 04 March 2005 - 04:18 AM
For gas mixtures at low pressure, not containing hydrogen, the following simple formula (not as good as Wilke & al) can be used
Mu(mixture)=Sigma(yi Mui sqrt(Mi))/Sigma(yi sqrt(Mi))
M is molecular weight and y the vapor mole fraction.
Mu(mixture)=Sigma(yi Mui sqrt(Mi))/Sigma(yi sqrt(Mi))
M is molecular weight and y the vapor mole fraction.
#5
Guest_eliot_s_*
Posted 08 March 2005 - 04:06 PM
My stream contains a very large proportion of hydrogen as it is comming from a steam reformer! Siretb what units is the viscosity reported as in that equation? and how 'bad' (orders of magnitude of error?) would the produced viscosity be if I used it with my hydrogen rich stream nonetheless (for rough calculations) ?
Thanks all for your replies !
Eliot.
Thanks all for your replies !
Eliot.
#6
Posted 08 March 2005 - 04:35 PM
Eliot:
The Wilke viscosity estimation method for gas mixtures is reported as having been extensively tested and yielding an average deviation of less than 1%. However, the Wilke method is also reported as yielding mixture viscosities greater than experimental for mixtures containing Hydrogen or Helium with a heavier gas; the mixture (H2 + N2) in point. For this mixture, predicted values may be as much as 50% greater than those found experimentally.
The Herning and Zipperer Estimation Method, another option, yields results within 3% - but starts to fall into inaccuracy when applied to Hydrogen-rich mixtures.
You may find it a problem dealing with H2.
The Wilke viscosity estimation method for gas mixtures is reported as having been extensively tested and yielding an average deviation of less than 1%. However, the Wilke method is also reported as yielding mixture viscosities greater than experimental for mixtures containing Hydrogen or Helium with a heavier gas; the mixture (H2 + N2) in point. For this mixture, predicted values may be as much as 50% greater than those found experimentally.
The Herning and Zipperer Estimation Method, another option, yields results within 3% - but starts to fall into inaccuracy when applied to Hydrogen-rich mixtures.
You may find it a problem dealing with H2.
#7
Posted 09 March 2005 - 05:04 AM
1) the units for viscosity are whatever you want. centipoise for instance.
2) I use the equation I posted for gas mixtures, works well, but I have no hydrogen. I have no specific experience about H2, I can only quote what is in Perry's handbook, 5th Ed.
Equation has been well tested for hydrocarbon mixtures...... for small H2 concentrations, errors are small, but may reach 10% for h2 rich mixtures. If H2 content is greater than 25% Wilkes equation is preferable ##Perry, 5 ed, page 3-249##
2) I use the equation I posted for gas mixtures, works well, but I have no hydrogen. I have no specific experience about H2, I can only quote what is in Perry's handbook, 5th Ed.
Equation has been well tested for hydrocarbon mixtures...... for small H2 concentrations, errors are small, but may reach 10% for h2 rich mixtures. If H2 content is greater than 25% Wilkes equation is preferable ##Perry, 5 ed, page 3-249##
#8
Posted 09 March 2005 - 09:37 AM
There are some methods for liquids that base the calculation on the known viscosity of the components. This is a non-linear relationship. e.g. the Louis and Refutas Methods.
Accuracy? A good question. I don't know the answer to that.
However, if you know the molecular weight of the product, this is related to the viscosity.
Try this link:
http://www.pslc.ws/macrog/vis.htm
and I suppose you could use ASTM D2502-92(1996) backwards i.e. compute the viscosity from the molecular weight. I'd be interested in any comments on that.
Accuracy? A good question. I don't know the answer to that.
However, if you know the molecular weight of the product, this is related to the viscosity.
Try this link:
http://www.pslc.ws/macrog/vis.htm
and I suppose you could use ASTM D2502-92(1996) backwards i.e. compute the viscosity from the molecular weight. I'd be interested in any comments on that.
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