🚿 Impinging Jet Array Heat Transfer (Martin)
Compute impinging round nozzle array Nusselt number (Nu_avg), convective heat transfer coefficient (h), stagnation peak flux, and orifice pressure drop using Martin (1977) correlation.
⚡ Fortran 90 Engine
Double Precision (IEEE 754)
✓ ISO / ASME Validated
📊 Solver Telemetry
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📦 Code Fortran
10.8 KB
📅 Mise en service
Jun 2026
⏱️ Latence
< 1 ms
🚿 Array of Impinging Nozzle Jets & Stagnation Cooling Layer
Real-time visual simulation of vertical high-speed fluid jets, target impingement spots & radial wall-jet spread📝 Configuration & Presets
Martin (1977) Array Formulation:
• Area Fraction: f = (π/4) / (S/d)²
• Average Nusselt: Nu = 2√f · [ (1 − 2.2√f) / (1 + 0.2(H/d − 6)√f) ] · 2 Re0.5 (1 + 0.005 Re0.55)0.5 Pr0.42
• Heat Flux: q″ = havg · (Ts − Tj) [kW/m²]
• Orifice Drop: ΔP ≈ 0.75 · ρ Uj² [kPa]
• Area Fraction: f = (π/4) / (S/d)²
• Average Nusselt: Nu = 2√f · [ (1 − 2.2√f) / (1 + 0.2(H/d − 6)√f) ] · 2 Re0.5 (1 + 0.005 Re0.55)0.5 Pr0.42
• Heat Flux: q″ = havg · (Ts − Tj) [kW/m²]
• Orifice Drop: ΔP ≈ 0.75 · ρ Uj² [kPa]
📊 Jet Impingement Results
Configure inputs and click Compute to view results.
📘 Calculation Methodology & Martin Impingement Standards
Martin (1977) Correlation
The standard correlation accounts for the interaction between neighboring jet fountains and cross-flow spent fluid resistance in periodic nozzle arrays:
Nu = 2√f · [ (1 − 2.2√f) / (1 + 0.2(H/d − 6)√f) ] · F(Re) · Pr0.42
Stagnation vs Wall-Jet Zone
Peak heat transfer occurs directly beneath the nozzle center ($Nu_0$). In arrays, spent cross-flow deflects outer jets and moderates area-averaged performance.
Key Engineering Assumptions
- Square or hexagonal array of sharp-edged circular orifice nozzles.
- Validity range: $2000 \le Re_d \le 100,000$, $0.004 \le f \le 0.04$, $2 \le H/d \le 12$.
- Constant fluid thermophysical properties at film temperature.