⚗️ Supercritical CO2 Extraction (Chrastil SFE)

Compute dense supercritical CO2 density, botanical solute solubility using the Chrastil model, extraction rate (g/h), batch cycle time, and specific CO2 demand.

⚡ Fortran 90 Engine Double Precision (IEEE 754) ✓ ISO / ASME Validated

📊 Solver Telemetry ● ACTIVE

👁️ Consultations 25

⚡ Calculs faits 21

💾 Téléchargements 236 📦 Code Fortran 6.4 KB

📅 Mise en service Jun 2026

⏱️ Latence < 1 ms

⚗️ High-Pressure Supercritical CO₂ Extractor Autoclave & Separator Flash

Real-time visual simulation of dense scCO2 percolating through botanical matrix into cyclonic collector

📝 Configuration & Presets

☕ Green Coffee Decaffeination 🌿 Herbal Extract / CBD 🍅 Tomato Lycopene (380 bar) 🍺 Hops Bitter Acid SFE

🌡️ Supercritical State & Pressure

Extraction Pressure P [bar]: Critical: P_c = 73.8 bar

Extraction Temperature T [°C]: Critical: T_c = 31.1 °C

🌿 Botanical Feed & CO₂ Flow

Solid Plant Matrix Mass [kg]:

Extractable Solute Content M₀ [g]:

CO₂ Solvent Mass Flow Rate [kg/h]:

Chrastil Solvation Number k: Molecules of CO₂ per solute molecule

Chrastil SFE Formulations:
• Chrastil Solubility: S = ρ_CO2^k · exp( a/T + b ) [g solute / kg CO₂]
• Extraction Rate: ṁ_ext = ṁ_CO2 · S [g/h]
• Extraction Time: t = 0.90 M₀ / (ṁ_CO2 · S) [hours]
• Specific CO₂ Demand: m_CO2 / m_extract [kg/kg]

📊 SFE Performance Results

📊 Output Summary
💾 Fortran Source

Chrastil Equilibrium Solute Solubility

S = 2.714 g / kg CO₂

Extraction Rate: 217.1 g/hour | 90% Batch Time: 20.7 hours

ρ_CO2 = 763 kg/m³

Batch Extraction Duration (90%) 20.72 hours 1243 minutes

Specific CO₂ Solvent Demand 368 kg CO₂ Per 1 kg pure extract

Supercritical CO₂ Density 762.9 kg/m³ Liquid-like density

Hourly Pure Extract Output 217.14 g/h In solubility phase

📈 Solute Solubility S (g/kg CO₂) vs Pressure P (bar)

📉 Extraction Yield (%) vs Time (hours)

=================================================================
 THERMOFLUIDCALC — SUPERCRITICAL CO2 EXTRACTION REPORT
=================================================================
Case Title                 : Brewery Hops Alpha-Acid Supercritical Extraction
Operating State            : 250.0 bar / 50.0 °C (Supercritical)
Supercritical CO2 Density  : 762.9 kg/m3
Botanical Solid Mass (M)   : 50.00 kg (Target Solute M0 = 5000.0 g)
CO2 Solvent Mass Flow Rate : 80.00 kg/h
-----------------------------------------------------------------
CHRASTIL SOLUBILITY (S)    : 2.7143 g solute / kg CO2
Extraction Rate            : 217.14 g/hour of pure extract
Batch Extraction Time (90%): 20.72 hours (1243 minutes)
Specific CO2 Consumption   : 368.4 kg CO2 per kg extract
=================================================================

📘 Calculation Methodology & Chrastil SFE Standards

Chrastil Density-Based Model

Solute solubility in dense gas is directly related to the fluid density $\rho$ raised to the association number $k$ of solvent molecules forming a solvato-complex:

                    ln S = k · ln ρ + (a / T) + b
                

Sovova Extraction Kinetics

Extraction proceeds in two phases: solubility-controlled constant extraction from broken surface cells, followed by internal diffusion from intact plant vacuoles.

Key Engineering Assumptions

Critical point of carbon dioxide: $T_c = 31.1^\circ\text{C}$, $P_c = 73.8\,\text{bar}$.
Equilibrium saturation of $CO_2$ exit stream in early batch phase.
Total separation in depressurization cyclone flash vessel.

ThermoFluidCalc Engineering Report