🔋 PCM Latent Heat Thermal Storage

Size Phase Change Material (PCM) latent heat thermal batteries: total stored energy (kWh), average charging thermal power (kW), melt time, NTU effectiveness, and state of charge (SOC).

⚡ Fortran 90 Engine Double Precision (IEEE 754) ✓ ISO / ASME Validated
📊 Solver Telemetry ● ACTIVE
👁️ Consultations 35
⚡ Calculs faits 28
💾 Téléchargements 202 📦 Code Fortran 11.4 KB
📅 Mise en service Jun 2026
⏱️ Latence < 1 ms
⚡ Outils & Rapports :
💾 Télécharger Fortran 90

🔋 Latent Heat PCM Storage Module & Melting Mushy Zone

Real-time visual simulation: Heat transfer fluid tubes charging the PCM matrix through progressive phase change

📝 Configuration & Presets

☀️ Solar Paraffin Wax (58°C) ❄️ HVAC Salt Hydrate (29.5°C) 🏭 Waste Steam Erythritol (118°C) 🌋 Solar Molten Salt (220°C)
🧪 Phase Change Material (PCM) Selection
⚡ Heat Transfer Fluid (HTF) Charging Loop
Must exceed Tm (118°C)
PCM Thermal Energy Storage Formulation:
• Total Stored Energy: Etot = Mpcm [ cps(Tm−Ti) + Lf + cpl(Tin−Tm) ] / 3600 [kWh]
• Charging Effectiveness: ε = 1 − e−NTU, where NTU = UA / (ṁ · cp,htf)
• Average Charging Power: Q̇avg = ṁ · cp,htf · (Tin − Tm) · ε [kW]
• Total Charging Time: tcharge = Etot / Q̇avg [hours]

📊 Storage Performance Results

📊 Output Summary
💾 Fortran Source

Total Stored Thermal Energy
123.56 kWh
Latent Portion: 75.56 kWh (61.2%) | Charging Power: 34.06 kW
tcharge = 217.7 min
Full Charging Duration 3.63 hours 218 minutes
Average Thermal Power 34.06 kW Charging rate
Heat Exchanger Effectiveness 30.0 % NTU = 0.357
PCM Melting Temperature 118.0 °C Lf = 340 kJ/kg

📈 State of Charge SOC (%) vs Charging Time (hours)

📉 Instantaneous Charging Power Q (kW) vs Time (hours)

=================================================================
 THERMOFLUIDCALC — PCM LATENT HEAT THERMAL STORAGE REPORT
=================================================================
Case Title                 : Industrial Waste Steam Recovery Erythritol Battery
PCM Material Type          : Erythritol Sugar Alcohol (Medium Temp)
Storage Sizing             : PCM Mass = 800.0 kg, Melting Temp Tm = 118.0 C (Lf = 340.0 kJ/kg)
HTF Charging Loop          : Inlet Temp = 145.0 C, Mass Flow = 2.00 kg/s, UA = 1500.0 W/K (NTU = 0.357)
-----------------------------------------------------------------
TOTAL STORED THERMAL ENERGY: 123.56 kWh (444.8 MJ)
 - Latent Heat Portion (Lf): 75.56 kWh (61.2%)
 - Sensible Heat Portion   : 48.00 kWh (38.8%)
AVERAGE CHARGING POWER     : 34.06 kW
TOTAL CHARGING DURATION    : 3.63 hours (217.7 minutes)
=================================================================

📘 Calculation Methodology & Latent Storage Standards

High Energy Density at Constant Temperature

Latent storage absorbs or releases large amounts of thermal energy ($L_f \approx 150 - 350\,\text{kJ/kg}$) at nearly isothermal conditions, offering $3 - 5\times$ higher volumetric energy density than water tanks.

NTU-Effectiveness Charging Model

Computes the transient temperature evolution of the heat transfer fluid as it circulates through embedded finned tubes inside the solidifying or melting PCM core.

Key Engineering Assumptions

  • Enthalpy-based phase change model with well-defined melting point $T_m$.
  • Uniform PCM encapsulation without thermal degradation.
  • Applicable to solar domestic hot water, HVAC peak load shifting, and industrial heat recovery.