Case study

Aircraft Leading-Edge Ice Stall Speed Margin Case Study

Leading-edge ice case study for CLmax reduction, stall speed increase, drag penalty, go-around margin, inspection evidence, and release criteria.

Leading-edge ice can reduce aircraft margin long before the wing looks dramatically contaminated. A rough ridge or distributed accretion near the leading edge changes the pressure distribution, trips the boundary layer, promotes early separation, reduces maximum lift coefficient, increases drag, and can change stall warning behaviour. The engineering decision is not whether ice is visible. It is whether the actual configuration still supports the required speed, manoeuvre, climb and release margins.

This case study follows a turboprop flight-test and operations review after residual leading-edge ice is found during an approach in icing conditions. The aircraft remains controllable, but airspeed targets, stall margin and missed-approach climb assumptions were based on a clean-wing configuration. The case is simplified for engineering learning and is not flight guidance. Real decisions must follow the approved flight manual, icing limitations, certification basis, operator procedures, maintenance inspection criteria and pilot authority.

Case Context

The aircraft is returning from a test support mission after operating in visible moisture near freezing conditions. Anti-ice was selected, but post-flight photographs and a line inspection show a shallow rough ridge on part of the wing leading edge. The crew reported slightly higher power for the same approach speed and a more abrupt buffet onset during a handling check before the final approach.

The central engineering question is:

Can the aircraft be treated as clean for approach and missed-approach performance, or does the observed leading-edge contamination invalidate the clean-wing stall and climb margins?

The answer requires a quantitative margin check and a release decision, not only a visual statement that the ice is small.

Simplified Aircraft and Test Data

Use the following representative data.

QuantitySymbolValue
aircraft weight during approachW68{,}000\ \text{N}
wing reference areaS30.2\ \text{m}^2
local air density\rho1.02\ \text{kg/m}^3
clean landing-configuration maximum lift coefficientC_{L,max,clean}2.10
estimated iced maximum lift coefficientC_{L,max,ice}1.55
normal clean approach targetV_{app,clean}116\ \text{kt}
candidate contaminated-wing approach targetV_{app,ice}135\ \text{kt}
drag coefficient at approach lift, cleanC_{D,clean}0.120
drag coefficient at approach lift, icedC_{D,ice}0.180
installed thrust available for missed approach with anti-iceT_{avail}15.6\ \text{kN}
minimum missed-approach climb-gradient screen\gamma_{req}3.3\%

The iced C_{L,max} and drag coefficient are simplified engineering estimates based on a conservative ice-contamination penalty. Real programs need approved performance data, flight-test evidence, wind-tunnel or icing-tunnel data, computational evidence where justified, and operational limitations.

Field Evidence

The evidence is mixed but consistent with a contaminated-wing margin problem.

EvidenceEngineering interpretation
leading-edge roughness visible on the outboard winga small shape change can affect separation and stall progression
higher torque required to maintain the same approach speeddrag penalty is plausible
buffet onset reported earlier than expectedC_{L,max} may be reduced
no air-data blockage fault recordedthis is not primarily a pitot-static case
deicing boot cycle completed normallysuccessful actuation does not prove a clean aerodynamic surface
aircraft remained controllablecontrollability is not proof of adequate stall or climb margin

The review should therefore treat the aircraft as aerodynamically different from the clean configuration until evidence proves otherwise.

Step 1: Calculate Clean Stall Speed

For steady level stall-speed screening:

\displaystyle V_S=\sqrt{\frac{2W}{\rho S C_{L,max}}}

Use the clean maximum lift coefficient:

\displaystyle V_{S,clean}=\sqrt{\frac{2(68{,}000)}{(1.02)(30.2)(2.10)}}
V_{S,clean}=45.9\ \text{m/s}

Convert to knots using 1\ \text{m/s}=1.944\ \text{kt}:

V_{S,clean}=45.9(1.944)=89.2\ \text{kt}

The normal clean approach target is approximately:

1.3V_{S,clean}=1.3(89.2)=116\ \text{kt}

This matches the planned clean approach speed.

Engineering Comment

The clean calculation is internally consistent. That does not make it valid after ice contamination. The key input is C_{L,max}, and the leading edge is one of the most sensitive parts of the wing for maximum-lift behaviour.

Step 2: Calculate Iced Stall Speed

Use the contaminated-wing estimate:

C_{L,max,ice}=1.55

Then:

\displaystyle V_{S,ice}=\sqrt{\frac{2(68{,}000)}{(1.02)(30.2)(1.55)}}
V_{S,ice}=53.4\ \text{m/s}

Convert:

V_{S,ice}=53.4(1.944)=103.8\ \text{kt}

Stall speed increase:

\displaystyle \frac{V_{S,ice}}{V_{S,clean}}=\frac{103.8}{89.2}=1.16

So the estimated stall speed increases by:

16\%

The approach speed needed for a 1.3V_S screen becomes:

1.3V_{S,ice}=1.3(103.8)=135\ \text{kt}

Engineering Comment

The clean 116\ \text{kt} approach speed is no longer a 1.3V_S target. Relative to the iced stall speed:

\displaystyle \frac{116}{103.8}=1.12

That margin is much smaller than intended. The aircraft may still be flying at 116\ \text{kt}, but the planned stall margin has been lost.

Step 3: Include Load Factor Margin

Stall speed rises with load factor:

V_{S,n}=V_S\sqrt{n}

For a 30^\circ bank:

\displaystyle n=\frac{1}{\cos 30^\circ}=1.155

Iced turning stall speed:

V_{S,n,ice}=103.8\sqrt{1.155}=111.5\ \text{kt}

At the clean approach target:

\displaystyle \frac{V_{app,clean}}{V_{S,n,ice}}=\frac{116}{111.5}=1.04

Engineering Comment

This is a weak margin for any low-altitude manoeuvre, gust, speed decay, pilot workload, autopilot mode transition or unexpected bank angle. The case should not be closed by saying the aircraft is above wings-level stall speed. The relevant condition includes manoeuvre margin and the contaminated configuration.

Step 4: Estimate Drag Penalty at the Contaminated-Wing Speed

Use the contaminated-wing approach target:

V_{app,ice}=135\ \text{kt}=69.4\ \text{m/s}

Dynamic pressure:

\displaystyle q=\frac{1}{2}\rho V^2
\displaystyle q=\frac{1}{2}(1.02)(69.4)^2=2457\ \text{Pa}

Clean drag at this speed and configuration:

D_{clean}=qSC_{D,clean}
D_{clean}=2457(30.2)(0.120)=8.9\ \text{kN}

Iced drag:

D_{ice}=qSC_{D,ice}
D_{ice}=2457(30.2)(0.180)=13.4\ \text{kN}

Additional drag:

\Delta D=13.4-8.9=4.5\ \text{kN}

Engineering Comment

Increasing approach speed to regain stall margin is not free. Dynamic pressure rises, and ice increases drag coefficient. A contaminated-wing speed target must therefore be checked against thrust, missed-approach climb, configuration limits, runway length, handling and flight-manual procedures.

Step 5: Check Missed-Approach Climb Margin

Use a simplified climb-gradient screen:

\displaystyle \gamma\approx\frac{T-D}{W}

With anti-ice operating, installed thrust available is:

T_{avail}=15.6\ \text{kN}

Using the iced drag estimate:

\displaystyle \gamma_{ice}=\frac{15.6-13.4}{68.0}
\gamma_{ice}=0.032=3.2\%

The minimum screen is:

\gamma_{req}=3.3\%

The simplified margin is therefore slightly negative:

3.2\%<3.3\%

Engineering Comment

This result does not certify failure of the actual aircraft. It does show that the found condition is not a casual operational detail. The contaminated-wing case consumes both stall margin and climb margin. Release should require approved data or a conservative restriction, not a clean-wing calculation with an informal speed additive.

Step 6: Engineering Decision

The aircraft should not be released using clean-wing approach and missed-approach assumptions. The engineering decision is:

Hold normal release for the clean performance basis, treat the aircraft as contaminated until inspected and cleared, use only approved icing and contaminated-configuration procedures, and require evidence that stall margin, climb margin, anti-ice function and surface condition match the release basis.

Immediate actions:

  1. document the ice shape, location and extent before removal if safe to do so;
  2. compare the condition with approved icing limitations and aircraft maintenance criteria;
  3. verify anti-ice or deicing system function, indications and cycle timing;
  4. recalculate stall margin with the applicable contaminated C_{L,max} or approved speed schedule;
  5. recalculate missed-approach climb with anti-ice thrust, contaminated drag and actual weight;
  6. restrict manoeuvre, approach or dispatch assumptions if approved data are not available;
  7. inspect leading edges, probes, drains, boots, sensors and control surfaces before next release;
  8. record the decision basis in the flight-test or operations review package.

Failure Modes and Controls

Failure modeEffectControl weaknessStronger control
clean C_{L,max} used after leading-edge contaminationstall speed underestimatedvisual ice noted but not tied to performance modelrequire configuration status in the performance worksheet
speed additive applied without climb checkstall margin improves but thrust margin may failspeed and climb reviewed separatelycouple stall, drag and climb screens
anti-ice status assumed from switch positionresidual contamination missedno surface evidence requirementinclude post-cycle inspection or approved sensor evidence
stall warning expected at clean thresholdwarning may not provide intended marginwarning logic not adjusted for contaminationvalidate warning and protection logic for icing assumptions
small bank angle ignored during approachturning stall margin underestimatedwings-level check onlyinclude load-factor screen for likely manoeuvre

A qualitative RPN screen shows the risk concentration.

Risk itemSeverityOccurrenceDetectionRPN
clean stall speed used with residual leading-edge ice935135
contaminated drag excluded from missed-approach climb836144
anti-ice system considered successful without surface evidence745140

The exact scores are less important than the controls they trigger: configuration discipline, evidence of surface condition, coupled performance calculations and conservative release criteria.

Release Criteria

Release should require the aerodynamic configuration and the calculation basis to agree.

CriterionRequired evidence
surface conditionleading edges and relevant lifting surfaces are clean, or the approved contaminated condition is explicitly used
stall speed basisC_{L,max}, configuration, weight and density match the calculation
approach speedspeed target satisfies the required stall margin for the actual configuration
manoeuvre marginlikely bank angle and gust allowances are included where required
drag penaltycontaminated drag is included in climb, go-around or missed-approach checks
thrust basisanti-ice, bleed, engine setting and installation effects match the performance data
warning/protectionstall warning, angle-of-attack logic or envelope protection remains valid for the allowed condition
inspection closeoutmaintenance or flight-test evidence confirms the surface and system state before release

The release question is not “is there enough lift right now?” It is whether the aircraft has the required margin through the expected operating sequence with the actual aerodynamic surface.

Transferable Lessons

Leading-edge ice is a configuration change. It should be treated like a change to C_{L,max}, drag, stall progression, warning behaviour and climb performance.

The practical diagnostic sequence is:

  1. freeze the configuration and document the contamination;
  2. replace clean C_{L,max} with an approved or conservative contaminated value;
  3. compute clean and contaminated stall speeds;
  4. include load factor for likely manoeuvres;
  5. compute drag penalty at the revised speed;
  6. check missed-approach or climb margin with anti-ice thrust assumptions;
  7. release only when surface condition, performance data and operating limits agree.

This case is distinct from a general stall-speed exercise. The technical lesson is the engineering decision around configuration evidence: a small leading-edge change can invalidate clean aerodynamic assumptions, and a speed correction must be checked against drag and thrust margins before it can support release.

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See also