Home/Aerospace Engineering/Propulsion/Power Available (Propeller-Driven Aircraft)

Formula & Calculator

Power Available (Propeller-Driven Aircraft)

Usable propulsive power delivered to the airframe, accounting for propeller efficiency losses from shaft power.

PropulsionAircraft PerformancePower

Power Available (Propeller-Driven Aircraft) Calculator

Pavail = ηp · Pshaft
Solve for Pavail, ηp, or Pshaft
Pavailηp, Pshaft
kW
kW
Solve for:
Result
Copied!
Power Available vs. Shaft Power Pavail(Pshaft) = ηp · Pshaft
Pavail(Pshaft) for fixed ηp Computed point
All values positive • ηp between 0 and 1 • 0 < Pavail ≤ Pshaft
P_avail = η_p * P_shaft
Power Available (Propeller-Driven Aircraft)

Variables

SymbolQuantityUnit
P_availPower availableW
η_pPropeller efficiency
P_shaftEngine shaft powerW

What it means

Power available is the actual power that the propeller can convert from the engine into thrust power. Propeller efficiency depends on advance ratio and blade geometry. This is the power that can be used to overcome drag and to climb. The difference between power available and power required determines the excess power, which defines rate of climb. Understanding P_avail is essential for performance calculations of propeller‑driven aircraft, including range and endurance.

Worked example

Power Available – Two Examples

Real‑World
Scenario: η_p = 0.8, P_shaft = 150,000 W. Find power available.
ParameterValue
η_p0.8
P_shaft150,000 W
1P_avail = η_p × P_shaft = 0.8 × 150000 = 120,000 W = 120 kW
Result 120 kW ✓ Typical
Scenario: η_p = 0.85, P_shaft = 250,000. Find P_avail.
ParameterValue
η_p0.85
P_shaft250,000
1P_avail = 0.85 × 250000 = 212,500 W = 212.5 kW
Result 212.5 kW ✓ More
Key insight: Power available is shaft power multiplied by propeller efficiency.

Common mistakes

  • Power available (propeller‑driven): P_avail = η_p · P_shaft.
  • η_p: Propeller efficiency (dimensionless).
  • P_shaft: Shaft power from engine (W).
  • η_p varies with speed; use performance data.
  • For climb, P_avail > P_req to have excess power.

Applications

Power available for propeller‑driven aircraft, P_avail = η_p·P_shaft, is the useful power delivered to the propeller to produce thrust. It accounts for propeller efficiency. Engineers use this to compare with power required, to determine climb and cruise performance, and to select engine‑propeller combinations. The efficiency depends on advance ratio and is typically around 0.8‑0.85. By optimising propeller design and matching to the engine, aerospace engineers can maximise available power and improve overall aircraft efficiency.

  • Propeller and engine matching for aircraft performance
  • Climb and cruise performance prediction
  • Propeller efficiency testing and selection
  • Design of variable‑pitch propellers for optimisation
  • Fuel consumption and range analysis for propeller aircraft