Difference between revisions of "Griffith correlation"
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== Brief == | == Brief == | ||
| − | The [[Griffith correlation]] is empirical correlation which defines: | + | The [[Griffith correlation]] <ref name= Griffith /> is an empirical correlation which defines: |
| − | * The boundary between the bubble and slug flow | + | * The boundary between the bubble and slug flow<ref name= Orkiszewski /> |
| − | * The void fraction of gas in bubble flow H<sub> | + | * The void fraction of gas in bubble flow - gas hold up '''H<sub>g</sub>'''<ref name= Orkiszewski /> |
== Math & Physics == | == Math & Physics == | ||
| − | The bubble flow exist | + | The bubble flow exist when: |
| + | :<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 /> | ||
| + | |||
| + | The gas holdup: | ||
| + | :<math> 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 ) </math><ref name= Orkiszewski /> | ||
== Discussion == | == Discussion == | ||
| + | |||
| + | [[Griffith correlation]] adds a hook to the originally straight [[Hagedorn and Brown]] [[VLP]] curve. | ||
| + | |||
== Nomenclature == | == Nomenclature == | ||
| + | |||
| + | :<math> D </math> = pipe diameter, ft | ||
| + | :<math> H_g </math> = gas holdup factor, dimensionless | ||
| + | :<math> L_B </math> = bubble-slug boundary, dimensionless | ||
| + | :<math> v_g </math> = gas velocity, ft/sec | ||
| + | :<math> v_L </math> = liquid velocity, ft/sec | ||
| + | :<math> v_s </math> = 0.8, slip velocity (difference between average gas and liquid velocities), ft/sec | ||
| + | |||
== References == | == References == | ||
| + | <references> | ||
| + | |||
| + | <ref name= Griffith>{{cite journal | ||
| + | |last1= Griffith |first1=P. | ||
| + | |last2= Wallis |first2=G. B. | ||
| + | |title=Two-Phase Slug Flow | ||
| + | |journal=Journal of Heat Transfer | ||
| + | |publisher = ASME | ||
| + | |date=August 1961 | ||
| + | |volume=83 | ||
| + | |pages=307-320 | ||
| + | |url=http://heattransfer.asmedigitalcollection.asme.org/article.aspx?articleid=1432339&resultClick=3 | ||
| + | |url-access= subscription | ||
| + | }}</ref> | ||
| + | |||
| + | <ref name= Orkiszewski>{{cite journal | ||
| + | |last1= Orkiszewski |first1=J. | ||
| + | |title=Predicting Two-Phase Pressure Drops in Vertical Pipe | ||
| + | |journal=Journal of Petroleum Technology | ||
| + | |publisher = SPE | ||
| + | |number = SPE-1546-PA | ||
| + | |date=June 1967 | ||
| + | |volume=19 | ||
| + | |url=https://www.onepetro.org/journal-paper/SPE-1546-PA | ||
| + | |url-access= subscription | ||
| + | }}</ref> | ||
| + | |||
| + | <ref name=Economides>{{cite book | ||
| + | |last1= Economides |first1=M.J. | ||
| + | |last2= Hill |first2=A.D. | ||
| + | |last3= Economides |first3=C.E. | ||
| + | |last4= Zhu |first4=D. | ||
| + | |title=Petroleum Production Systems | ||
| + | |edition=2 | ||
| + | |date=2013 | ||
| + | |publisher=Prentice Hall | ||
| + | |place=Westford, Massachusetts | ||
| + | |isbn=978-0-13-703158-0 | ||
| + | }}</ref> | ||
| + | </references> | ||
[[Category:pengtools]] | [[Category:pengtools]] | ||
| − | [[Category: | + | [[Category:PQplot]] |
| + | |||
| + | {{#seo: | ||
| + | |title=Griffith correlation | ||
| + | |titlemode= replace | ||
| + | |keywords=Griffith correlation | ||
| + | |description=Griffith correlation is an empirical correlation which defines: the boundary between the bubble and slug flow. | ||
| + | }} | ||
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:
, with the limit 
[2]
The gas holdup:
Discussion
Griffith correlation adds a hook to the originally straight Hagedorn and Brown VLP curve.
Nomenclature
= pipe diameter, ft
= gas holdup factor, dimensionless
= bubble-slug boundary, dimensionless
= gas velocity, ft/sec
= liquid velocity, ft/sec
= 0.8, slip velocity (difference between average gas and liquid velocities), ft/sec
References
- ↑ Griffith, P.; Wallis, G. B. (August 1961). "Two-Phase Slug Flow"
. Journal of Heat Transfer. ASME. 83: 307–320.
- ↑ 2.0 2.1 2.2 2.3 Orkiszewski, J. (June 1967). "Predicting Two-Phase Pressure Drops in Vertical Pipe". Journal of Petroleum Technology. SPE. 19 (SPE-1546-PA).
- ↑ 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.
