Griffith correlation

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 H_G

Math & Physics

The bubble flow exist when:

$\frac{q_g}{q_g + q_L} < L_B$

The gas holdup:

$H_G = \frac{1}{2}\ \left ( 1 + \frac{v_g+v_L}{v_s} - \sqrt{ \left ( 1 + \frac{v_g+v_L}{v_s} \right )^2 - 4 \frac{v_g}{v_s}} \right )$

where:

The liquid holdup:

$H_L = 1- H_G$