🌀 Two-Phase Gas-Liquid Pipe Flow

Solve two-phase pressure drops using Friedel & Lockhart-Martinelli correlations, Rouhani-Axelsson void fraction, and identify flow regimes.

⚡ Fortran 90 Engine Double Precision (IEEE 754) ✓ ISO / ASME Validated
📊 Solver Telemetry ● ACTIVE
👁️ Consultations 28
⚡ Calculs faits 24
💾 Téléchargements 390 📦 Code Fortran 8.1 KB
📅 Mise en service Jun 2026
⏱️ Latence < 1 ms

🌀 Two-Phase Gas-Liquid Flow Regime Simulation

Real-time dynamic visualization of phase distribution & interfaces

📝 Configuration & Presets

♨️ Steam-Water Boiler (Vertical) 🛢️ Oil-Gas Pipeline (Slug) ❄️ R134a Evaporator Tube 💨 Air-Water Transport
📐 Pipe Geometry & Orientation
0° = horizontal, 90° = vertical upward
⚡ Flow Conditions & Quality
💧 Liquid Phase Properties
💨 Gas / Vapor Phase Properties
Key Formulations:
• Friedel Multiplier: (dP/dz) = ΦL0² (dP/dz)L0
• Lockhart-Martinelli: Xtt = [(1−x)/x]0.9GL)0.5LG)0.1
• Void Fraction: α = Drift Flux (Rouhani-Axelsson)
• Total ΔP = ΔPfric + ρ g L sin(θ)

📊 Simulation Results

Configure inputs and click Compute to view results.

📘 Calculation Methodology & Engineering Theory

Friedel Two-Phase Multiplier

The Friedel (1979) correlation is widely accepted across ASME and HEI standards for turbulent liquid-gas flows in vertical and horizontal lines:

ΦL0² = E + 3.24 · F · H / (FrH0.045 · WeL0.035)

Drift-Flux Void Fraction ($\alpha$)

Accounting for the slip velocity between light vapor and dense liquid using Rouhani & Axelsson's drift-flux model:

α = (x / ρG) / [C₀ (x/ρG + (1−x)/ρL) + ugj / G]

Key Engineering Assumptions

  • Adiabatic or slowly evaporating pipe flow (steady equilibrium quality).
  • Newtonian liquid and gas phase behavior.
  • Pipe wall friction evaluated via Churchill friction factor for both phases.
  • Acceleration pressure gradient neglected for uniform diameter lines.