Souders-Brown Equation

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

souders brown equation 1Souders-Brown equation is used to find the maximum allowable vapor velocity in vapor-liquid seperation vessels.

 

Souders-Brown Equation formula

\(\large{ v =  K \;  \sqrt{ \frac{\rho_l \;-\; \rho_v}{\rho_v} }    }\)   

Where:

 Units English Metric
\(\large{ v  }\) = maximum allowable vapor velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)
\(\large{ \rho_l }\)   (Greek symbol rho) = density of liquid \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\)
\(\large{ \rho_v }\)   (Greek symbol rho) = density of vapor \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\)
\(\large{ K }\) = vapor velocity factor \(\large{dimensionless}\) \(\large{dimensionless}\)

K Factors for maximum allowable superficial velocity (API Spec 12J)

  • Vertical separator  -  5 ft. high  -  K = 0.12 to 0.24
  • Vertical separator  -  10 ft. high  -  K = 0.18 to 0.35
  • Horizontal separator  -  10 ft. long  -  K = 0.40 to 0.50
  • Horizontal separator  -  Other lengths L ft. long  -  K = 0.40 to 0.50 \(\left( \frac{L}{10}\right)^{0.56} \)
  • Spherical separator  -  All  -  K = 0.2 to 0.35
\(\large{dimensionless}\)   \(\large{dimensionless}\)

 

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Tags: Velocity Equations Flow Equations Separator Equations