RCAIDE.Library.Methods.Aerodynamics.Common.Drag.trim_drag

trim_drag#

trim_drag(state, settings, geometry)[source]#

Computes trim drag and updates aerodynamic coefficients due to control surface deflections.

Parameters:
  • state (Data) –

    Flight conditions and aerodynamic state of aircraft containing:
    • conditions.aerodynamics.coefficients.drag.parasite.totalfloat

      Parasite drag coefficient [unitless]

    • conditions.aerodynamics.coefficients.drag.induced.totalfloat

      Induced drag coefficient [unitless]

    • conditions.aerodynamics.coefficients.drag.compressible.totalfloat

      Compressibility drag coefficient [unitless]

    • conditions.aerodynamics.coefficients.drag.form.totalfloat

      Form drag coefficient [unitless]

    • conditions.control_surfaces.flap.deflectionfloat

      Flap deflection angle [degrees]

  • settings (dict) – Aerodynamic analysis settings and parameters

  • geometry (Data) –

    Aircraft geometry containing:
    • wingslist

      List of wing objects with control_surfaces attribute - control_surfaces : list

      List of control surface objects (Spoiler, Flap, etc.) - deflection : float

      Control surface deflection angle [degrees]

      • chord_fractionfloat

        Fraction of wing chord occupied by control surface [unitless]

      • typestr

        Type of flap (‘split’, ‘plain’, ‘single_slotted’, ‘flowler’, ‘double_slotted’)

Returns:

Results are stored in state.conditions.aerodynamics.coefficients.drag.trim.total

Return type:

None

Notes

This function calculates the additional drag and aerodynamic effects caused by control surface deflections, particularly spoilers and flaps. The calculations are based on empirical correlations from wind tunnel testing and flight data.

Major Assumptions
  • Linear relationship between control surface deflection and drag increment

  • Control surface effects are additive to baseline aerodynamic coefficients

  • Empirical coefficients are valid across typical flight conditions

Theory

For spoilers, the drag increment is calculated as:

\(\Delta C_D = 0.0011 \frac{\delta_{spoiler}}{1°}\)

where \(\delta_{spoiler}\) is the spoiler deflection angle in degrees.

For flaps, the drag increment follows:

\(\Delta C_D = c_f \cdot A \cdot \left(\frac{\delta_{flap}}{1°}\right)^B\)

where: - \(c_f\) is the chord fraction of the flap - \(A\) and \(B\) are empirical coefficients that depend on flap type - \(\delta_{flap}\) is the flap deflection angle in degrees

The lift and moment effects for spoilers are:

\(\Delta C_L = -0.0075 \frac{\delta_{spoiler}}{1°}\)

\(\Delta C_M = 0.0053 \frac{\delta_{spoiler}}{1°}\)

Definitions

‘Trim Drag’

Additional drag caused by control surface deflections required to maintain aircraft equilibrium.

‘Spoiler’

Control surface that reduces lift and increases drag by disrupting airflow over the wing.

‘Flap’

High-lift device that increases wing camber and chord to improve low-speed performance.

References

[1] Croom, D. R. (1976). “Low-speed wind-tunnel investigation of various segments of flight spoilers as trailing-vortex-alleviation devices on a transport aircraft model.” NASA-TN-D-8162. [2] Sadraey, M. H. (2017). “Aircraft performance: an engineering approach.” CRC Press.