Difference between revisions of "Griffith correlation"

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The bubble flow exist when:
 
The bubble flow exist when:
:<math> \frac{q_g}{q_g + q_L} < L_B </math><ref name= Orkiszewski />
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:<math> \frac{v_g}{v_g + v_L} < L_B </math><ref name= Economides />
  
 
:<math> L_B = 1.071 - 0.2218 \frac{(v_g+v_L)^2}{D}</math>, with the limit <math> L_B \geqslant 0.13 </math><ref name= Orkiszewski />
 
:<math> L_B = 1.071 - 0.2218 \frac{(v_g+v_L)^2}{D}</math>, with the limit <math> L_B \geqslant 0.13 </math><ref name= Orkiszewski />
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== Discussion  ==
 
== Discussion  ==
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[[Griffith correlation]] adds a hook to the originally straight [[Hagedorn and Brown]] [[VLP]] curve.
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== Nomenclature  ==
 
== Nomenclature  ==
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:<math> D </math> = pipe diameter, ft
 +
:<math> H_g </math> = gas holdup factor, dimensionless
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:<math> L_B </math> = bubble-slug boundary, dimensionless
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:<math> v_g </math> = gas velocity, ft/sec
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:<math> v_L </math> = liquid velocity, ft/sec
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:<math> v_s </math> = 0.8, slip velocity (difference between average gas and liquid velocities), ft/sec
 +
 
== References ==
 
== References ==
 
<references>
 
<references>
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  |volume=83
 
  |volume=83
 
  |pages=307-320
 
  |pages=307-320
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|url=http://heattransfer.asmedigitalcollection.asme.org/article.aspx?articleid=1432339&resultClick=3
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|url-access= subscription
 
}}</ref>
 
}}</ref>
  
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  |url=https://www.onepetro.org/journal-paper/SPE-1546-PA
 
  |url=https://www.onepetro.org/journal-paper/SPE-1546-PA
 
  |url-access= subscription  
 
  |url-access= subscription  
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}}</ref>
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<ref name=Economides>{{cite book
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|last1= Economides |first1=M.J.
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|last2= Hill |first2=A.D.
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|last3= Economides |first3=C.E.
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|last4= Zhu |first4=D.
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|title=Petroleum Production Systems
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|edition=2
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|date=2013
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|publisher=Prentice Hall
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|place=Westford, Massachusetts
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|isbn=978-0-13-703158-0
 
}}</ref>
 
}}</ref>
 
</references>
 
</references>
  
 
[[Category:pengtools]]
 
[[Category:pengtools]]
[[Category:pqPlot]]
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[[Category:PQplot]]
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{{#seo:
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|title=Griffith correlation
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|titlemode= replace
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|keywords=Griffith correlation
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|description=Griffith correlation is an empirical correlation which defines: the boundary between the bubble and slug flow.
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}}

Latest revision as of 09:27, 6 December 2018

Brief

The Griffith correlation [1] is an empirical correlation which defines:

  • The boundary between the bubble and slug flow[2]
  • The void fraction of gas in bubble flow - gas hold up Hg[2]

Math & Physics

The bubble flow exist when:

 \frac{v_g}{v_g + v_L} < L_B [3]
 L_B = 1.071 - 0.2218 \frac{(v_g+v_L)^2}{D}, with the limit  L_B \geqslant 0.13 [2]

The gas holdup:

 H_g = \frac{1}{2}\ \left ( 1 + \frac{v_g+v_L}{v_s} - \sqrt{ \left ( 1 + \frac{v_g+v_L}{v_s} \right )^2 - 4 \frac{v_g}{v_s}}   \right ) [2]

Discussion

Griffith correlation adds a hook to the originally straight Hagedorn and Brown VLP curve.

Nomenclature

 D = pipe diameter, ft
 H_g = gas holdup factor, dimensionless
 L_B = bubble-slug boundary, dimensionless
 v_g = gas velocity, ft/sec
 v_L = liquid velocity, ft/sec
 v_s = 0.8, slip velocity (difference between average gas and liquid velocities), ft/sec

References

  1. Griffith, P.; Wallis, G. B. (August 1961). "Two-Phase Slug Flow"Paid subscription required. Journal of Heat Transfer. ASME. 83: 307–320. 
  2. 2.0 2.1 2.2 2.3 Orkiszewski, J. (June 1967). "Predicting Two-Phase Pressure Drops in Vertical Pipe"Paid subscription required. Journal of Petroleum Technology. SPE. 19 (SPE-1546-PA). 
  3. Economides, M.J.; Hill, A.D.; Economides, C.E.; Zhu, D. (2013). Petroleum Production Systems (2 ed.). Westford, Massachusetts: Prentice Hall. ISBN 978-0-13-703158-0.