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Axial Flow Turbines Questions and Answers

31.

A blade of \( 0.08 \ \mathrm{m} \) span in an annulus of \( 0.60 \ \mathrm{m} \) mean diameter has a tip clearance of \( 0.8 \ \mathrm{mm} \). The clearance as a fraction of span is

Answer: C

Correct answer: 1.0 per cent

Both must be in the same units:

\[ \frac{0.8 \ \mathrm{mm}}{80 \ \mathrm{mm}} = 0.01 = 1.0\% \]

A rule of thumb is that each one per cent of clearance to span costs one to two per cent of stage efficiency, so this small gap matters - and it is why active clearance control, cooling the casing in cruise to shrink it onto the blades, is fitted to large engines.

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32.

A turbine produces \( 30 \ \mathrm{MW} \) at a mass flow of \( 55 \ \mathrm{kg/s} \). The specific work is approximately

Answer: D

Correct answer: 545 kJ/kg

Specific work is power over mass flow:

\[ w = \frac{30 \times 10^6}{55} \approx 545\,000 \ \mathrm{J/kg} = 545 \ \mathrm{kJ/kg} \]

Which at a \( c_p \) of 1150 corresponds to a total temperature drop of about 475 K across the turbine - a figure typical of a high pressure turbine driving a large compressor.

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33.

An impulse stage has zero reaction and a reaction stage fifty per cent. For the same blade speed and flow coefficient, the impulse stage's work is approximately

Answer: A

Correct answer: Twice that of the reaction stage

At the same blade speed and flow coefficient, an impulse stage turns the flow through roughly twice the tangential angle of a fifty per cent reaction stage, and work is \( U\Delta C_w \), so it extracts about twice as much. The price is efficiency: the whole pressure drop occurs in the vanes, giving a very high velocity into the rotor and greater friction and secondary losses. Fewer stages, each less efficient, is the trade.

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34.

A turbine entry temperature of 1750 K is achieved with a blade alloy melting near 1600 K. The cooling must hold the metal at least

Answer: B

The metal must sit below its melting point while the gas around it is hotter still, which cooling and a thermal barrier coating together achieve. Running gas hotter than the alloy melts is normal practice and depends entirely on that margin.

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35.

Statement I: A few turbine stages can drive a compressor of a dozen or more.

Statement II: Turbine flow accelerates while compressor flow diffuses.

In the light of the above statements, choose the correct answer.

Answer: C

Both statements are true and the second is the reason. An accelerating flow keeps its boundary layer attached through turning that would separate a diffusing one immediately, so each turbine stage does several times the work of a compressor stage.

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36.

Statement I: The first stage nozzle guide vanes fix the engine's corrected mass flow.

Statement II: They run choked, so the flow through the throat is independent of downstream conditions.

In the light of the above statements, choose the correct answer.

Answer: D

Correct answer: Both Statement I and Statement II are correct

Both are true and the second explains the first. Once the throat is sonic, information cannot travel upstream, so the corrected flow is set by the throat area and the upstream conditions alone and is independent of everything downstream. The vanes therefore act as a fixed orifice for the whole engine, which is why the engine’s corrected flow is essentially constant over the operating range and why the throat area is the rematching parameter.

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37.

Statement I: Modern turbines run gas hotter than the melting point of the blade alloy.

Statement II: Cooling and thermal barrier coatings hold the metal well below the gas temperature.

In the light of the above statements, choose the correct answer.

Answer: A

Both are true and the second is what makes the first possible. The margin between gas and metal is created entirely by the cooling scheme, which is why losing a coating or blocking a cooling passage is so immediately serious.

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38.

Statement I: Cooling air represents a real cycle penalty even though it protects the blades.

Statement II: It has been compressed but is never heated in the combustor.

In the light of the above statements, choose the correct answer.

Answer: B

Both statements are true and the second is the reason. The work spent compressing that fifteen to twenty per cent of core flow is largely wasted, which is why reducing cooling flow is a standing objective in turbine development.

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39.

Statement I: An impulse stage extracts more work than a reaction stage of the same blade speed.

Statement II: The impulse stage is also the more efficient of the two.

In the light of the above statements, choose the correct answer.

Answer: C

The first is correct and the second is not. Zero reaction gives the largest turning and therefore the most work, but the efficiency is noticeably lower, which is exactly the trade that decides between the two arrangements.

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40.

Statement I: In a free vortex design the degree of reaction rises from root to tip.

Statement II: Blade speed increases with radius while the work is held uniform along the span.

In the light of the above statements, choose the correct answer.

Answer: D

Both hold and the second is the mechanism. A blade at fifty per cent reaction at the mean radius may be close to impulse at the root and strongly reactive at the tip, which is why the section shape changes so much along its length.

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