🔥 Flow Boiling Critical Heat Flux & DNB

Size flow boiling Critical Heat Flux (q_CHF), Minimum Departure from Nucleate Boiling Ratio (MDNBR safety margin), and dryout vapor quality using Bowring and Katto-Ohno models.

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🔥 Vertical Flow Boiling Regimes & DNB / Dryout Front

Real-time visual simulation: Single-Phase → Bubbly Flow → Slug/Annular → Critical Heat Flux Dryout Hotspot

📝 Configuration & Presets

☢️ PWR Fuel Core DNB ⚡ BWR Channel Dryout 🏭 Boiler Evaporator Tube 🚀 Rocket Cooling Jacket
📐 Channel Dimensions
⚡ Operating Hydraulics & Pressure
🌡️ Inlet Thermal Conditions & Heat Flux
Bowring / Katto Flow Boiling CHF Formulation:
• Critical Heat Flux: q″CHF = [ A′ + ¼ D G Δhsub ] / (C′ + L) [kW/m²]
• Minimum DNB Ratio: MDNBR = q″CHF / q″actual (Safety Margin > 1.3)
• Critical Power: Qcrit = q″CHF · (π D L) [kW]
• Critical Exit Quality: xcrit = (Qcrit − G Aflow Δhsub) / (G Aflow hfg)

📊 CHF & DNB Margin Results

📊 Output Summary
💾 Fortran Source

Critical Heat Flux (q″CHF)
q″CHF = 100 kW/m²
Applied Flux: 3,500 kW/m² | MDNBR Margin: 0.03
BURNOUT RISK (MDNBR < 1.3)
Safety Ratio (MDNBR) 0.03 Requires heat reduction
Critical Channel Power (Qcrit) 1.0 kW Dryout thermal limit
Saturation Temp (Tsat) 292.3 °C hfg = 1,417 kJ/kg
Critical Exit Quality (xcrit) -0.082 Subcooled/DNB departure

📈 Critical Heat Flux q″_CHF vs Mass Flux G [kg/(m²·s)]

📉 MDNBR Safety Ratio vs Applied Heat Flux q″ [kW/m²]

=================================================================
 THERMOFLUIDCALC — FLOW BOILING CRITICAL HEAT FLUX (CHF/DNB) REPORT
=================================================================
Case Title                 : High-Heat-Flux Cryogenic Rocket Thrust Chamber Jacket
Channel Dimensions         : Inside Diameter D = 4.00 mm, Heated Length L = 0.80 m
Operating Parameters       : Mass Flux G = 8000.0 kg/(m2.s), Pressure P = 80.0 bar (Tsat = 292.3 C)
Inlet Subcooling           : 30.0 C (Delta h_sub = 126.0 kJ/kg)
Applied Actual Heat Flux   : 3,500.0 kW/m2
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CRITICAL HEAT FLUX (q_CHF) : 100.0 kW/m2
MINIMUM DNB RATIO (MDNBR)  : 0.029 [UNSAFE / DNB RISK]
CRITICAL CHANNEL POWER     : 1.01 kW
Critical Exit Vapor Quality: -0.0819
=================================================================

📘 Calculation Methodology & Critical Heat Flux Standards

Bowring & Katto-Ohno Correlation

Calculates the peak convective heat flux before bubble overcrowding prevents liquid wall replenishment:

q″CHF = [ A′ + ¼ D G Δhsub ] / (C′ + L)

DNB vs Annular Liquid Dryout

At high subcooling and high mass flux, CHF occurs by Departure from Nucleate Boiling (DNB). At higher qualities, it occurs by dryout of the annular liquid film.

Key Engineering Assumptions

  • Uniform axial heat flux profile in vertical round tubes.
  • Saturated and subcooled water-steam flow regimes.
  • Design criteria: $MDNBR \ge 1.30$ margin against thermal burnout.