Principles of Flight — AeroplanesLektion 14 von 40
14/40The aerofoil

The Boundary Layer

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The boundary layer

The boundary layer is the thin layer of air directly on the wing surface in which air speed rises from zero (at the wing) to free-stream velocity (outside the boundary layer) due to viscosity.

Typical PPL wing boundary-layer thickness: 1–5 mm — very thin but decisive for lift, drag and stall behaviour.

Physics of the boundary layer

Cause: air has a small but non-zero viscosity. Directly on the surface the air sticks — the lowest layer has velocity zero ("no-slip condition").

Velocity profile:

  • At the wall: v = 0.
  • With increasing distance: faster velocity rise.
  • At the edge of the boundary layer: v = v_∞ (free stream).

Two flow types

1. Laminar boundary layer

Properties:

  • Air flows in parallel layers without mixing.
  • Smooth, ordered, low friction.
  • Low surface drag.

Where: forward portion of the wing (first 30–60% of chord).

Velocity profile: parabolic.

2. Turbulent boundary layer

Properties:

  • Air swirls and mixes intensely.
  • Higher friction and higher drag.
  • But: more energy near the surface → better adhesion, delayed separation.

Where: rear portion of the wing.

Velocity profile: flatter, with high energy right at the wall.

Transition point

The transition from laminar to turbulent occurs at the transition point.

Influenced by:

  • Reynolds number (Re) — ratio of inertial to viscous forces:
    • Re < 2 000 000: laminar dominates.
    • Re > 2 000 000: turbulent early.
  • Surface roughness — rough surface → early transition.
  • Pressure gradient (along flow) — at rising pressure earlier.
  • Dirt or ice on the surface → strong early turbulence.

Boundary layer separation

The boundary layer separates from the surface when the adverse pressure gradient (against flow direction) becomes too steep.

Mechanism:

  • On the upper wing surface pressure drops toward the leading edge (negative pressure gradient is accelerating) — no separation problem.
  • Aft of the pressure minimum the pressure rises again (positive / "adverse" pressure gradient).
  • The boundary layer must "climb against" this rising pressure.
  • If kinetic energy is insufficientseparation.

Conditions for separation:

  • High angle of attack (stall).
  • Low Reynolds number (slow flight, small wings).
  • Ice or dirt on the leading edge.

Consequences:

  • Lift loss (stall).
  • Increased pressure drag (vortex wake).
  • Buffet (vibration).

Boundary layer control

Goal: delay separation to allow higher angle of attack.

1. Vortex generators (VGs)

  • Small vertical fins on the upper surface of the wing.
  • Generate small vortices that transport energy from free stream into the boundary layer.
  • Effect: turbulent, high-energy boundary layer → delayed separation → lower stall speed.
  • Installed on many modern GA types (e.g. Cessna 182, Cirrus SR22).

2. Slots and slats

  • Slats at the leading edge open at high AoA.
  • Create a nozzle effect routing high-energy air to the upper surface.
  • Keeps boundary layer attached at high AoA.
  • See Slats / Leading-edge devices.

3. Suction slots

  • Air is sucked off through slots in the upper surface.
  • Renews the boundary layer.
  • Rare in current GA, more in research.

4. Wing profile shape

  • Symmetrical profiles are less prone to separation.
  • Highly cambered profiles separate earlier but produce more lift.

5. Flaps

  • Flaps increase camber → more lift, but earlier stall than without flaps in some configurations.
  • Flaps provide a slot effect at the trailing edge.

Reynolds numbers in GA

Typical Reynolds numbers for PPL aircraft:

ConfigurationReynolds number
C172 cruise (TAS 100 kt, chord 1.5 m)~5 × 10⁶
C172 approach (60 kt)~3 × 10⁶
Model aeroplane (10 kt, 0.1 m chord)~100 000
Airliner at FL 350~50 × 10⁶

At low Reynolds number (model flying, very small wings, very slow aircraft) laminar separation is more prominent → tricky handling.

Practical PPL relevance

Clean wing = safe wing:

  • Ice accretion disturbs the boundary layer significantly (see Clean Aircraft Concept (Anti-Icing vs De-Icing) lessons).
  • Dirt, insects, snow on the leading edge reduce lift and increase stall speed.
  • Therefore pre-flight inspection of wing leading edges carefully.

Understanding stall behaviour:

  • Stall is the symptom of large-scale boundary layer separation.
  • Recovery: reduce AoA → boundary layer reattaches → lift returns.
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