RCAIDE.Library.Methods.Performance.estimate_take_off_field_length
estimate_take_off_field_length#
- estimate_take_off_field_length(vehicle, analyses, altitude=0, delta_isa=0, compute_2nd_seg_climb=False)[source]#
Computes the takeoff field length and optionally the second segment climb gradient for a given vehicle configuration.
- Parameters:
vehicle (Vehicle) –
- The vehicle instance containing:
- mass_properties.takeofffloat
Takeoff weight [kg]
- reference_areafloat
Wing reference area [m²]
- V2_VS_ratiofloat, optional
Ratio of V2 to stall speed, default 1.20
- networks.*.number_of_enginesint
Number of engines per network
analyses (Analyses) – Container with atmosphere and aerodynamic analyses
altitude (float, optional) – Airport altitude [m], default 0
delta_isa (float, optional) – Temperature offset from ISA conditions [K], default 0
compute_2nd_seg_climb (bool, optional) – Flag to compute second segment climb gradient, default False
- Returns:
takeoff_field_length (float) – Required takeoff field length [m]
second_seg_climb_gradient (float, optional) – Second segment climb gradient [unitless], only if compute_2nd_seg_climb=True
Notes
The takeoff field length is computed using empirical correlations: .. math:
TOFL = k_0 + k_1(V_2^2/T/W) + k_2(V_2^2/T/W)^2
- where k₀, k₁, k₂ depend on number of engines:
2 engines: [857.4, 2.476, 0.00014]
3 engines: [667.9, 2.343, 0.000093]
4 engines: [486.7, 2.282, 0.0000705]
- Major Assumptions
Sea level standard conditions unless specified
Standard V2 speed ratio (1.20 × stall speed)
No wind conditions
Dry runway surface
- For second segment climb:
One engine inoperative
Only validated for two-engine aircraft
Theory Second segment climb gradient is computed as:
\[\gamma = T/W - 1/L/D\]- where L/D includes effects of:
Windmilling drag
Asymmetric drag
High-lift device drag
References
[1] Stanford University AA241 Aircraft Design Course Notes http://adg.stanford.edu/aa241/AircraftDesign.html