🪨 Porous Media Convection (Darcy-Forchheimer)
Compute convective heat transfer in saturated porous media: porous Nusselt number, Darcy-Forchheimer non-linear pressure drop, filtration pumping power, and porous Rayleigh Ra_K.
⚡ Fortran 90 Engine
Double Precision (IEEE 754)
✓ ISO / ASME Validated
📊 Solver Telemetry
● ACTIVE
👁️ Consultations
37
⚡ Calculs faits
30
💾 Téléchargements
356
📦 Code Fortran
10.8 KB
📅 Mise en service
Jun 2026
⏱️ Latence
< 1 ms
🪨 Saturated Porous Matrix & Interstitial Seepage Flow
Real-time visual simulation of fluid filtration through packed grains, Darcy pressure drop & thermal dispersion📝 Configuration & Presets
Darcy-Forchheimer Convection Formulation:
• Effective Conductivity: ke = φ kf + (1 − φ) ks
• Pressure Drop: ΔP = [ (μ/K) UD + ρ (CF/√K) UD² ] · H
• Porous Nusselt: Nu = √(1 + 0.318 PeK) | PeK = UD H / αe
• Porous Rayleigh: RaK = (ρ g β ΔT K H) / (μ αe)
• Effective Conductivity: ke = φ kf + (1 − φ) ks
• Pressure Drop: ΔP = [ (μ/K) UD + ρ (CF/√K) UD² ] · H
• Porous Nusselt: Nu = √(1 + 0.318 PeK) | PeK = UD H / αe
• Porous Rayleigh: RaK = (ρ g β ΔT K H) / (μ αe)
📊 Porous Convection Results
Configure inputs and click Compute to view results.
📘 Calculation Methodology & Porous Convection Standards
Darcy-Forchheimer Model
Combines linear viscous drag (Darcy law) and non-linear quadratic form drag (Forchheimer inertial term):
∇P = − (μ/K) UD − ρ (CF/√K) UD²
Effective Thermal Conductivity
Represents the parallel/series mixture volume average of solid matrix and interstitial saturated fluid ($k_e = \phi k_f + (1-\phi) k_s$).
Key Engineering Assumptions
- Homogeneous, isotropic porous matrix.
- Local thermal equilibrium between fluid and solid phases ($T_f = T_s$).
- Laminar and transitional filtration velocities ($Re_K = \frac{U_D \sqrt{K}}{\nu} < 10$).