Difference between revisions of "Griffith correlation"

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(Math & Physics)
(Math & Physics)
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The gas holdup:
 
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 />
 
:<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 />
 +
 +
where:
 +
 +
 +
The liquid holdup:
 +
:<math> H_L = 1- H_G </math>
  
 
== Discussion  ==
 
== Discussion  ==

Revision as of 15:53, 27 March 2017

Brief

The Griffith correlation is an empirical correlation which defines:

  • The boundary between the bubble and slug flow
  • The void fraction of gas in bubble flow - gas hold up HG

Math & Physics

The bubble flow exist when:

 \frac{q_g}{q_g + q_L} < L_B [1]

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 ) [1]

where:


The liquid holdup:

 H_L = 1- H_G

Discussion

Nomenclature

References

  1. 1.0 1.1 Cite error: Invalid <ref> tag; no text was provided for refs named Orkiszewski