Beggs-Brill Multiphase Flow Holdup Calculator

Multiphase Pipeline Hydraulics: Calculate liquid holdup ($H_L$), flow pattern regime, mixture density ($\rho_m$), and hydrostatic pressure gradients.

Pipe Internal Diameter $D$ (in):

Inclination Angle $\theta$ (° from horiz):

Superficial Liquid $v_{sL}$ (ft/s):

Superficial Gas $v_{sg}$ (ft/s):

Liquid Density $\rho_L$ (lb/ft³):

Gas Density $\rho_g$ (lb/ft³):

Predicted Flow Regime

Froude Number: --

Inclined Holdup ($H_L(\theta)$)

No-Slip λ_L: --

In-Situ Mixture Density ($\rho_m$)

-- lb/ft³

No-Slip Density: -- lb/ft³

Elevation Hydrostatic Gradient

-- psi/ft

In 1000 ft: -- psi

Beggs-Brill Formulation:

• No-slip holdup: $\lambda_L = \frac{v_{sL}}{v_{sL} + v_{sg}}$. Froude number: $Fr = \frac{v_m^2}{g D}$.

• Inclined liquid holdup correction: $H_L(\theta) = H_L(0) \cdot \psi(\theta)$. Slippage causes liquid to accumulate in uphill terrain sections.

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