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Propulsion System Classification Questions and Answers

21.

An engine takes in \( 100 \ \mathrm{kg/s} \) of air, exhausting it at \( 400 \ \mathrm{m/s} \) while flying at \( 250 \ \mathrm{m/s} \). Ignoring fuel flow, the thrust is

Answer: A

Thrust is the mass flow times the velocity increment, \( 100 \times (400-250) = 15\,000 \) newtons. It is the change in velocity that matters rather than the exhaust velocity itself, which is why a fast jet produces no thrust at all once the aircraft matches its speed.

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22.

An engine of \( 60 \ \mathrm{kg/s} \) air flow produces \( 18 \ \mathrm{kN} \) of thrust. Its specific thrust is

Answer: B

Dividing gives \( 18\,000/60 = 300 \) newtons per kilogram per second. A high bypass turbofan sits far below this figure and needs a much larger engine for the same total thrust, which is exactly why nacelle diameters grew as bypass ratios rose.

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23.

An engine burns \( 0.9 \ \mathrm{kg/s} \) of fuel producing \( 50 \ \mathrm{kN} \) of thrust. Its thrust specific fuel consumption is

Answer: C

Dividing gives \( 0.9/50 = 0.018 \) kilograms per kilonewton second. This is the figure that dominates a transport aircraft's operating cost, which is why decades of development went into reducing it through higher bypass ratios and pressure ratios.

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24.

An engine has a core flow of \( 40 \ \mathrm{kg/s} \) and a bypass flow of \( 360 \ \mathrm{kg/s} \). Its bypass ratio is

Answer: D

Bypass ratio is bypass flow divided by core flow, \( 360/40 = 9 \). Adding the two flows gives the total intake of 400 kilograms per second, and dividing that by the core flow would give 10, which is the commonest error in this calculation.

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25.

Propulsive efficiency is \( 2V/(V + V_j) \). At a flight speed of \( 250 \ \mathrm{m/s} \) with a jet velocity of \( 450 \ \mathrm{m/s} \) it is

Answer: A

Substituting gives \( 2 \times 250/(250+450) = 500/700 \). Reducing the jet velocity towards the flight speed raises this figure towards unity, but the thrust falls to zero as it does so, which is the trade every engine cycle has to settle.

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26.

An engine has a thermal efficiency of 0.45 and a propulsive efficiency of 0.70. Its overall efficiency is

Answer: B

Overall efficiency is the product, \( 0.45 \times 0.70 = 0.315 \). Because the two multiply, a weakness in either one caps the result, which is why the turbofan pursued propulsive efficiency without giving up the thermal efficiency of its core.

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27.

A turboprop develops \( 1500 \ \mathrm{kW} \) of shaft power at a propeller efficiency of 0.85 and a flight speed of \( 120 \ \mathrm{m/s} \). The propulsive thrust is approximately

Answer: C

Thrust power is \( 1500 \times 0.85 = 1275 \) kilowatts, and dividing by the flight speed gives \( 1275\,000/120 \). The relation shows why a propeller gives enormous thrust at low speed and why that advantage disappears as the aircraft accelerates.

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28.

At sea level an engine produces \( 120 \ \mathrm{kN} \). At a density ratio of 0.30, assuming thrust scales with density, it produces approximately

Answer: D

Correct answer: 36 kN

\[ 120 \times 0.30 = 36\ \mathrm{kN}. \] Thrust is proportional to the mass flow the engine can swallow, and that is proportional to the density, so a density ratio of 0.30 leaves 30 per cent of the sea level thrust. It is why an engine that is comfortably powerful at sea level becomes marginal at altitude, and why cruise altitude is limited by thrust as much as by anything else.

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29.

An aircraft flies at \( 240 \ \mathrm{m/s} \) with \( 30 \ \mathrm{kN} \) of thrust. The thrust power is

Answer: A

Thrust power is thrust times flight speed, \( 30\,000 \times 240 = 7.2 \times 10^6 \) watts. Thrust alone says nothing about the work being done, which is why a static thrust figure is meaningless as a measure of an engine's useful output in cruise.

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30.

A propeller of 2.5 m radius turns at \( 1500 \ \mathrm{rpm} \). The tip speed due to rotation alone is approximately

Answer: B

The rotational speed is \( 1500 \times 2\pi/60 = 157 \) radians per second, and multiplying by the radius gives 393 metres per second. Adding the forward speed vectorially takes the tip past the speed of sound, which is what limits propeller aircraft.

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