Difference between revisions of "Griffith correlation"

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(Math & Physics)
(Math & Physics)
Line 10: Line 10:
 
:<math> \frac{q_g}{q_g + q_L} < L_B </math><ref name= Orkiszewski />
 
:<math> \frac{q_g}{q_g + q_L} < L_B </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 />
+
:<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:
 
The gas holdup:

Revision as of 16:09, 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]
 L_B = 1.071 - 0.2218 \frac{(v_g+v_L)^2}{D}, with the limit  L_B \geqslant 0.13 [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]

Discussion

Nomenclature

References

  1. 1.0 1.1 1.2 Cite error: Invalid <ref> tag; no text was provided for refs named Orkiszewski