Flare System Sizing Calculator
Calculate flare tip diameter, stack height, and thermal radiation distances
Input Parameters
Enter relief gas properties and conditions
Flare Sizing Results
Enter parameters and click Calculate
API 521 Radiation Limits
- 500 BTU/hr-ft2: 8-hour continuous exposure
- 1500 BTU/hr-ft2: Escape routes (clothing ignition)
- 2000 BTU/hr-ft2: Brief exposure (evacuation)
- 3000 BTU/hr-ft2: Equipment/structures
Formula Reference
Flare Tip Diameter (API 521)
Tip Diameter:
d = sqrt((4 * W) / (pi * rho * V))
Where:
d = Tip diameter (ft)
W = Relief rate (lb/s)
rho = Gas density at tip (lb/ft3)
V = Exit velocity (ft/s)
Gas Density at Tip:
rho = (P * MW) / (10.73 * T * Z)
Sonic Velocity:
Vs = sqrt(k * R * T / MW) = 223 * sqrt(k * T / MW) ft/s
Flame Length (Brzustowski)
Flame Length:
L = 0.00326 * Q^0.478
Where:
L = Flame length (ft)
Q = Heat release rate (BTU/hr)
Heat Release Rate:
Q = W * Hc
Where:
W = Mass flow rate (lb/hr)
Hc = Heat of combustion (BTU/lb)
Thermal Radiation (API 521)
Radiation Intensity:
I = (F * Q) / (4 * pi * D^2) * tau
Where:
I = Radiation intensity (BTU/hr-ft2)
F = Fraction of heat radiated (0.15-0.30)
Q = Heat release (BTU/hr)
D = Distance from flame center (ft)
tau = Atmospheric transmissivity (~1.0)
Distance for Given Intensity:
D = sqrt((F * Q) / (4 * pi * I))