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The principles of air resistance

Feb 8, 2025

Lecture on Drag

Introduction

  • Previous lecture was about the lift form.
  • This lecture focuses on drag.

Formula for Drag

  • Simple formula for drag.
  • Differences with lift:
    • Replace lift force L with drag force D.
    • Replace lift coefficient with drag coefficient.
  • Coefficient is dimensionless.
  • Variables have the same meaning as in the lift formula.

Components of Drag

  • Drag consists of different contributions.
  • Split into profile drag and parasitic drag:
    • Profile drag: Concentrated on wings.
    • Parasitic drag: Concerns other aircraft parts like the fuselage.

Breakdown of Profile Drag

  • Pressure drag: Resultant of integral pressure over the profile.
  • Friction drag: Arises from air contact with the body shape.

Types of Drag

  • Skin friction: Air slides over the aircraft surface.
  • Pressure drag: Creates turbulent flight and vortices.
  • Wave drag: Arises from shock waves at high speeds.

Parasitic Drag

  • Components that do not contribute to lift.
  • Cd0: Drag coefficient of component independent of lift.

Difference between Friction and Pressure

  • Pressure drag: Acts perpendicular to the surface.
  • Friction drag: Acts parallel to the surface.

Three-dimensional Effects

  • Air pressure decreases above the wing.
  • Pressure increase below the wing.
  • Vortex formation at wingtips.
  • Winglets reduce drag by 3-6%.
  • Fuel savings and greater range.

Lift and Drag Curve Analysis

  • Lift curve: Almost linear up to maximum.
  • Drag curve: Exponential, depending on lift coefficient².
  • Lift-drag polar: Lift coefficient versus drag coefficient.
  • Maximum CL/CD ratio: Glide ratio important for efficiency.

Glide Ratios

  • High glide ratios for slender aircraft and birds like the albatross.
  • Low glide ratio for Space Shuttle.

Conclusion

  • Focus on minimizing drag.
  • Drag comes from multiple sources.
  • Next lecture: weight and cargo forms.