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Engineering casebook

Case 15 / Rotorcraft aerodynamics

Rotorcraft power and climb analysis

Break helicopter power demand into induced, profile, parasite and tail-rotor contributions, then explore the ideal climb margin over airspeed.

Power breakdown · airspeed sweep · ideal climb analysis
Aircraft design & performanceFlight dynamicsMATLAB/Simulink
My work

Rotorcraft power modelling and performance analysis

The engineering question

How do airspeed and available power affect helicopter power demand and climb potential?

I modelled the main contributions to rotorcraft power demand and used the excess-power margin to estimate ideal climb performance. The interactive analysis varies airspeed and available power, showing how induced, profile, parasite and tail-rotor power combine across the operating range.

Inside the method

Method and workflow

  1. 01

    Set the rotor

    Specify the aircraft weight, rotor geometry, blade count, tip speed and air density.

  2. 02

    Separate the terms

    Calculate uniform-inflow induced power, a profile-power approximation and equivalent-flat-plate parasite power.

  3. 03

    Account for the tail

    Include a 6% tail-rotor power allowance and compare total demand with the selected power budget.

  4. 04

    Read the margin

    Convert excess power to ideal climb rate, while keeping advance ratio and model limits visible.

Rotorcraft power and climb performance

Four contributions. One power balance.

Total required1299.4kW
Available power2237.1kW
Ideal excess-power climb9.58m/s
Advance ratio0.156μ
Where the power goeskW
0.00615.151,2301,8452,461Induced: 60.00, 1,135Profile: 60.00, 82.25Parasite: 60.00, 8.92Tail allowance: 60.00, 73.55Total: 60.00, 1,2990.0065.00130.00Forward speed (kt)
InducedProfileParasiteTail allowanceTotal
Ideal excess-power marginm/s
0.004.048.0912.1316.17(Available − required power) / weight: 60.00, 9.580.0065.00130.00Forward speed (kt)
(Available − required power) / weight

Air density 0.6531 kg/m³; weight 22,000 lbf; radius 28 ft; four blades; tip speed 650 ft/s. Tail allowance is 6% of main-rotor plus parasite power. Available power is the selected constant budget. A negative climb margin means the selected power budget is below the calculated level-flight requirement.

Technical notes

Model assumptions and scope

  • The analysis uses a steady-flight, uniform-inflow approximation with simplified profile and parasite power terms.
  • Air density is fixed at 0.6531 kg/m³. Available power is a selectable constant budget, with a default of 3,000 hp.
  • The ideal climb estimate uses excess power divided by weight. Rotor flapping, compressibility and engine altitude lapse are outside this model.
Potential extensions

Compare the inflow approximation and power components with a documented rotorcraft reference case.

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