🚿 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

Impinging Jet Array Heat Transfer (Martin)

Convection

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👁️ Views 39

⚡ Solves 30

💾 Downloads 399 📦 Fortran Code 10.8 KB

📅 Released Jun 2026

⏱️ Latency < 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

💻 CPU Micro-Jet Array 🔥 Turbine Vane Impingement 🌊 Steel Water Jet Quench 📜 Industrial Paper Dryer

📐 Nozzle Array Geometry

Nozzle Orifice Diameter d [mm]:

Nozzle Pitch S [mm]:

Nozzle-to-Plate Height H [mm]:

Jet Velocity U_j [m/s]:

🌡️ Thermal Boundary Conditions

Target Surface Temp T_s [°C]:

Coolant Jet Temp T_j [°C]:

💧 Fluid Thermophysical Properties

Density ρ [kg/m³]:

Viscosity μ [cP]:

Conductivity k [W/(m·K)]:

Specific Heat c_p [J/(kg·K)]:

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 Re^0.5 (1 + 0.005 Re^0.55)^0.5 Pr^0.42
• Heat Flux: q″ = h_avg · (T_s − T_j) [kW/m²]
• Orifice Drop: ΔP ≈ 0.75 · ρ U_j² [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.

ThermoFluidCalc Engineering Report