🔊 Thermoacoustic Stirling Refrigerator

Evaluate thermoacoustic cryocoolers and Stirling refrigerators: acoustic cooling heat lift (Watts), acoustic work input, thermal penetration depth (delta_k), and COP using Swift model.

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

📊 Solver Telemetry ● ACTIVE

👁️ Consultations 20

⚡ Calculs faits 15

💾 Téléchargements 317 📦 Code Fortran 11.4 KB

📅 Mise en service Jun 2026

⏱️ Latence < 1 ms

🔊 Acoustic Resonator Tube & Thermoacoustic Stack Heat Pumping

Real-time visual simulation: Standing acoustic wave oscillating gas parcels across parallel stack plates creating temperature gradient

📝 Configuration & Presets

🎈 Helium Refrigerator (20 bar) 🛰️ Spacecraft He-Xe Cryocooler (150K) ☀️ Solar Air Cooler (10 bar) 🧪 Lab Argon Demo (8 bar)

🧪 Working Gas & Resonator Acoustics

Working Gas Medium:

Mean Gas Pressure P_m [bar]:

Acoustic Frequency f [Hz]:

Acoustic Drive Ratio D_r = p₁ / P_m [%]:

🌡️ Heat Exchanger Temperatures (Kelvin)

Cold Heat Exchanger T_c [K]:

Hot Heat Exchanger T_h [K]:

📐 Thermoacoustic Stack Dimensions

Stack Cross-Section A [cm²]:

Stack Length L [cm]:

Swift Thermoacoustic Formulation:
• Thermal Penetration Depth: δ_κ = √(2 k / (ρ c_p ω)) [mm]
• Optimal Stack Spacing: y₀ ≈ 2 - 4 δ_κ
• Acoustic Power Work: Ẇ₂ ∝ A_stack · δ_κ · ω · p₁² / (ρ a²)
• Coefficient of Performance: COP = Q̇_c / Ẇ₂

📊 Thermoacoustic Results

📊 Output Summary
💾 Fortran Source

Acoustic Cooling Heat Lift (Q̇_c)

1.50 Watts

Cooling COP: 1.500 | Acoustic Work: 1.00 W

δ_κ = 0.090 mm

Acoustic Pressure Amplitude 20.0 kPa Drive ratio = 2.5 %

Thermal Penetration (δ_κ) 0.090 mm Optimal spacing = 0.27 mm

Viscous Penetration (δ_ν) 0.074 mm Boundary layer loss

Fraction of Carnot COP 15.6 % COP_Carnot = 9.64

📈 Acoustic Cooling Lift Q_c (W) vs Drive Ratio D_r (%)

📉 Coefficient of Performance (COP) vs Frequency (Hz)

=================================================================
 THERMOFLUIDCALC — THERMOACOUSTIC STIRLING REFRIGERATOR REPORT
=================================================================
Case Title                 : University Demonstration Argon Standing-Wave Resonator
Gas & Resonator Properties : Argon (Ar) — Low Acoustic Velocity
Acoustic State Parameters  : Mean Press = 8.0 bar, Freq = 95.0 Hz, Drive Ratio = 2.5 % (p1 = 20.0 kPa)
Thermal Boundaries & Stack : Cold Tc = 270.0 K, Hot Th = 298.0 K, Area = 20.0 cm2, Length = 6.0 cm
-----------------------------------------------------------------
ACOUSTIC COOLING LIFT (Qc) : 1.500 Watts
ACOUSTIC POWER INPUT (W2)  : 1.000 Watts
COEFFICIENT OF PERF (COP)  : 1.5000 (15.6% of Carnot COP = 9.64)
Thermal Penetration (delta): 0.0899 mm (Optimal plate half-gap = 0.270 mm)
Viscous Penetration (delta): 0.0738 mm
=================================================================

📘 Calculation Methodology & Thermoacoustic Standards

Thermoacoustic Heat Pumping Effect

Oscillating gas parcels experience cyclical compression, displacement, and thermal relaxation with the solid stack wall, pumping heat from the cold heat exchanger (CHX) toward the hot heat exchanger (HHX).

No Moving Parts & Noble Gas Operation

Eliminates pistons, valves, and synthetic fluorinated refrigerants. Uses inert helium or argon gas with near-infinite operational lifetimes for space missions and green cooling.

Key Engineering Assumptions

Linear Rott acoustic standing-wave approximation ($D_r \le 10\%$).
Short-stack approximation with parallel plate stack matrix.
Applicable to electronics cooling, space cryogenics, and waste heat refrigeration.

ThermoFluidCalc Engineering Report