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